JP2019138846A - Wind tunnel test device and method using mutual intervention particle, and recording medium recording wind tunnel test program using mutual intervention particle - Google Patents

Abstract

To provide a method and a device for enabling implementation of wind tunnel test in which computation time of a computer is reduced.SOLUTION: A wind tunnel test device is configured to: define liquid by using a mutual intervention particle which is a virtual particle instead of liquid made of air and water; creating the wind tunnel test device into a memory space of a computer; and implement wind tunnel test by using image data instead of a wind tunnel model.SELECTED DRAWING: Figure 1

Description

As a method for creating a wind tunnel in a virtual space of a computer and conducting a wind tunnel test, the present invention defines a fluid flowing in the wind tunnel by a plurality of mutual interference particles that are virtual particles, and the mutual interference particles exist around. Determine the flow caused by the mutual interference particles by limiting the operation from the shape of the wind tunnel model that performs the mutual interference particles and the wind tunnel test, and perform the wind tunnel test using the fluid flow created by the mutual interference particles The present invention relates to a wind tunnel test apparatus.

In the wind tunnel test, a model of the shape to be tested is created, the model to be tested is installed in a wind tunnel testing device that generates air flow, the actual air flow is applied to the model, and the air flow is observed. Since the air current cannot be visually recognized, a visible state is created by flowing linear smoke into the air current. Many sensors that measure the atmospheric pressure are placed on the surface of the model to be tested, and the air flow is observed by changes in the atmospheric pressure.

Since the air flow is grasped from the smoke streaks, it is difficult to accurately grasp the flowing state. In the case where a large number of sensors are arranged, a device for acquiring data from the sensors is complicated and expensive, and there is a physical limit on the number and location of sensors.

When using a computer to simulate a fluid, it is necessary to select a computational model for fluid dynamics and enter the prerequisites for the calculation, and an analyst with specialized knowledge is required. It is necessary to use an expensive computer called a computer. Since the simulation uses a virtual model having a uniform surface, it has a drawback that it is difficult to reproduce the actual behavior.

It was expensive to manufacture a wind tunnel model, and it was difficult to conduct wind tunnel tests on many wind tunnel models at the initial stage of product development.
There is a drawback that it is necessary to create a model for securing and testing a device for performing a wind tunnel test.
There are drawbacks to conducting simulations, such as securing human resources with expertise and analysis costs. Due to these disadvantages, there is a problem that it is difficult to change the design while conducting a wind tunnel test based on the concept design at the planning stage of creating a product.

There is a small wind tunnel testing device as an improvement measure, but it has not improved basic problems such as making models. Simulation needs to be predicated on calculations and has not improved problems that are not easily available to anyone.

Japanese Patent No. 4268250

Toru Yoshizawa “Hydrodynamics” The University of Tokyo Press 2001

The problem to be solved is that the wind tunnel test apparatus is large and expensive, and a dedicated facility for performing the wind tunnel test is required. When using a computer to simulate a fluid, it is necessary to select a computational model for fluid dynamics and enter the prerequisites for the calculation, and an analyst with specialized knowledge is required. It is necessary to use an expensive computer called a computer, and a simple and inexpensive wind tunnel testing device is required.

In the present invention, a wind tunnel is created in a virtual space of a computer, and a fluid is defined by a plurality of particles (hereinafter referred to as “interference particles”) instead of the fluid flowing inside the wind tunnel. “Mutual interference particles” have a concentric region (hereinafter referred to as a repulsive force region) with the center point of the particle as the origin, and when there are other mutual interference particles in this repulsive force region, When a repulsive force is generated and other mutual interference particles exist outside the repulsive force region, it is defined as having the property of generating a force that attracts the mutual interference particles that are close to each other (hereinafter referred to as an attractive force). .

The “mutual interference particles” determine the movement of the “mutual interference particles” by interfering with each other by repulsive force and attracting force, and simulate the movement of the fluid. The most important feature is a wind tunnel test device that defines a wind tunnel test device in a virtual space of a computer and performs a wind tunnel test with a simulated fluid created by “interactive interference particles”.

The wind tunnel testing device of the present invention requires expertise in fluid dynamics, computer simulation simulations, and analysis of computational results by simulating fluids with particles that interfere with each other in the virtual space of the computer. There are no advantages. By creating a wind tunnel test device in the virtual space of a computer, you can perform wind tunnel tests using the image data of the design image, and by changing the design of the specimen while performing the wind tunnel test, the change in fluid over time There is an advantage that can be observed.

FIG. 1 is an explanatory view showing the configuration of a wind tunnel test apparatus using mutual interference particles to which the present invention is applied. Example 1 FIG. 2 is an explanatory view of a cross section of a model having the same cross section. Example 1 FIG. 3 is an explanatory view showing an image of a cross section of a model having the same cross section. Example 1 FIG. 4 is an explanatory diagram showing XY plane coordinates of the image wind tunnel model. Example 1 FIG. 5 is an explanatory diagram showing universal gravitation acting between particles. Example 1 FIG. 6 is an explanatory view showing the mutual interference particle force. Example 1 FIG. 7 is an explanatory view showing the structure of the mutual interference particles. Example 1 FIG. 8 is an explanatory diagram showing vector components of forces acting on the mutual interference particles. Example 1 FIG. 9 is an explanatory diagram showing a wind tunnel defined in the memory space of the computer. Example 1 FIG. 10 is an explanatory view showing the fluid pressure due to the mutual interference particle force. Example 1 FIG. 11 is an explanatory view showing a state where the wind tunnel is filled with the mutual interference particles. Example 1 FIG. 12 is an explanatory view showing rectification by mutual interference particles. Example 1 FIG. 13 is an explanatory diagram showing rectification by generation and deletion of mutual interference particles. Example 1 FIG. 14 is an explanatory diagram showing a state in which an image serving as a wind tunnel model is superimposed on a wind tunnel in the memory space. Example 1 FIG. 15 is an explanatory diagram in which a wind tunnel model is defined using a pixel coordinate to a wind tunnel in a memory space. Example 1 FIG. 16 is an explanatory diagram of a state where a wind tunnel model of a memory space and a mutual interference particle are defined. Example 1 FIG. 17 is an explanatory view showing a method of determining the direction in which the mutual interference particles colliding with the wind tunnel model move. Example 1 FIG. 18 is an explanatory view showing a method (part 1) for determining a moving path of mutual interference particles colliding with a wind tunnel model. Example 1 FIG. 19 is an explanatory view showing a method (part 2) for determining the moving path of the mutual interference particles colliding with the wind tunnel model. Example 1 FIG. 20 is an explanatory view showing an explanation (part 3) of the method for determining the movement path of the mutual interference particles colliding with the wind tunnel model. Example 1 FIG. 21 is an explanatory diagram showing a method for determining the direction of movement and separation between the mutual interference particles and the wind tunnel model. Example 1 FIG. 22 is an explanatory view showing a method of determining the interference and the moving direction between the mutual interference particles and the mutual interference particles. Example 1 FIG. 23 is an explanatory view showing a display example of a wind tunnel testing apparatus using mutual interference particles as a fluid. Example 1 FIG. 24 is an explanatory view showing a display example of a wind tunnel test apparatus that has conducted a wind tunnel test while changing the design of the wind tunnel model. Example 1 FIG. 25 is an explanatory view showing a process of a wind tunnel test apparatus using mutual interference particles. Example 1 FIG. 26 is an explanatory diagram of the mutual interference particle structure in the XYZ space. (Example 2) FIG. 27 is an explanatory diagram of components of forces acting on the mutual interference particles in the XYZ space. (Example 2) FIG. 28 is an explanatory diagram in which a wind tunnel is defined in the XYZ memory space of the computer. (Example 2) FIG. 29 is an explanatory diagram defining a model for performing a wind tunnel test on a wind tunnel in an XYZ memory space. (Example 2) FIG. 30 is an explanatory diagram of a method of determining the movement path of the mutual interference particles that collided with the wind tunnel model in the XYZ memory space. (Example 2)

Create a wind tunnel test device in a virtual space and perform a wind tunnel test without performing complicated calculations based on fluid dynamics by simulating a fluid with mutual interference particles that interfere with each other in the virtual space of a computer Realized that.

The present invention is applied to, for example, “wind tunnel test apparatus 1 using mutual interference particles” as shown in FIG.
“Example 1” describes a wind tunnel test apparatus that creates a two-dimensional wind tunnel test apparatus in a virtual space of a computer and performs a wind tunnel test in a two-dimensional space.
Although the wind tunnel test apparatus generates a flow of air and performs a wind tunnel test, the present invention creates a wind tunnel in a virtual space of a computer and uses a plurality of particles (hereinafter referred to as particles) instead of a fluid flowing inside the wind tunnel. The fluid is defined in terms of “interacting particles”.
FIG. 1 is a diagram showing components of a wind tunnel test apparatus using mutual interference particles, and a “data input unit 2” for inputting data of a wind tunnel test model expressing the shape of a wind tunnel test and the flow of fluid. “Mutual interference particle calculation unit 3” to be calculated and the shape of the wind tunnel test model are displayed, and the movement result of the mutual interference particle calculated by “Mutual interference particle calculation unit 3” is displayed “Wind tunnel test display unit 4” Consists of

The wind tunnel test apparatus for a two-dimensional space shown in “Example 1” is used when a wind tunnel test is performed on a cross section of a model having the same cross section as shown in “Description of a cross section of a model having the same cross section” in FIG. Test equipment.
“5 in FIG. 2” shows the entire model.
“6 in FIG. 2” indicates the cross section of the model by oblique lines, and “5 in FIG. 2” has the same cross section as the cross section indicated by “6 in FIG. 2”.
“7 in FIG. 2” indicates the length of the model indicated by “5 in FIG. 2”, and “7 in FIG. 2” indicates an infinite length. The two-dimensional space wind tunnel test is carried out on the assumption.

In “Example 1”, an XY plane is defined in the virtual space of the computer, and a wind tunnel is defined in the XY plane.
Since this is a two-dimensional space wind tunnel test apparatus, the cross section indicated by “6 in FIG. 2” can be a wind tunnel test model expressing the shape of the wind tunnel test.
Since the wind tunnel test model representing the shape to be subjected to the wind tunnel test may have the cross section shown in “6 of FIG. 2”, the image data representing the cross section of the model is represented as the wind tunnel test model representing the shape to be subjected to the wind tunnel test. It can be a model.
In the following description, “image data expressing a cross section of a model as a wind tunnel test model expressing a shape to be subjected to a wind tunnel test” will be referred to as “wind tunnel model”.

The “data input unit 2” in FIG. 1 inputs data defining the shape of the model for the wind tunnel test. The “data input unit” in “2 of FIG. 1” inputs “wind tunnel model” which is “image data representing a cross section of a model as a wind tunnel test model representing a shape for performing a wind tunnel test”.
Save the image data to the computer memory.

FIG. 3 shows “Explanation of the image of the cross section of the model having the same cross section” explaining the cross section indicated by “6 in FIG. 2”. Since the image data is two-dimensional data, it can be defined on the XY plane shown in FIG. 3 defined in the memory space of the computer. “8 in FIG. 3” is a wind tunnel model of image data. The image data that defines the wind tunnel model is defined by RGB values that are the three primary colors of light. For example, if the RGB value of the wind tunnel model is zero or more and the RGB value of the background of the wind tunnel model is zero, It is possible to determine whether the image is a wind tunnel model or the background for each pixel constituting the image. Setting a range for the RGB value of the background makes it possible to determine the distinction between the background and the wind tunnel model even for intermediate colors.

FIG. 4 shows “Description of XY plane coordinates of image wind tunnel model”.
Since the wind tunnel model defined by the image is defined on the XY plane, the pixels constituting the wind tunnel model can be defined as coordinate values on the XY plane.
“8 in FIG. 4” is the same as “8 in FIG. 3” and shows a wind tunnel model. “Pn in FIG. 4” indicates one pixel constituting the wind tunnel model 8. Since the wind tunnel model is defined on the XY plane, “Pn in FIG. 4” can be represented by coordinate values (Xn, Yn).
For the definition of the shape of the wind tunnel model, the wind tunnel model may be defined by inputting coordinate values with a coordinate input device such as a mouse in the “data input unit” in “2 of FIG. 1”.

FIG. 5 is a view showing “explanation of universal attraction acting between particles”.
“9 in FIG. 5” and “10 in FIG. 5” are particles having mass,
“11 in FIG. 5” indicates the distance between the particle 9 and the particle 10.
“12 in FIG. 5” is an attractive force acting on the particle 9,
“13 in FIG. 5” indicates an attractive force acting on the particle 10,
The force of the same magnitude attracts the opposite direction.
The mass of the particles 9 is M,
The mass of the particle 10 is m,
If the distance between particles is r,
It is already known mathematically that the attractive force F acting between the particles can be obtained by the following formula 1.

It is already known mathematically that the molecular force that works due to the attractive and repulsive forces between atoms can be obtained by the following formula 2 of Leonard-Jones potential U (r).

Q in Expression 2 indicates the order of the item for calculating the attractive force, and p in Expression 2 indicates the order of the item for calculating the repulsive force. In the Leonard-Jones potential formula:
q = 6,
p = 12
It is common to perform the calculation. For p and q, numerical values selected by a calculation model can be used.
From the Leonard-Jones potential equation, it is known that attractive force and repulsive force are inversely proportional to the nth power of the distance (n is an integer).

FIG. 6 is a diagram showing “explanation of mutual interference particle force”.
“14 in FIG. 6” and “15 in FIG. 6” indicate mutual interference particles, and “16 in FIG. 6” indicates the distance between the mutual interference particles 14 and 15. “17 in FIG. 6” indicates an attractive force (hereinafter referred to as “attracting force”) that the mutual interference particle 14 receives from the mutual interference particle 15, and “18 in FIG. 6” indicates that the mutual interference particle 14 is a mutual interference particle. 15 shows a force repelling from 15 (hereinafter referred to as “repulsive force”).
Mutual interference particles are defined as being subject to "attractive force" and "repulsive force". The mutual interference particles are virtual particles that are used in place of gas or liquid molecules constituting the fluid and define the fluid by the mutual interference particles. Mutual interference particles are defined as particles that are larger than the molecule and well separated by the intermolecular distance.
Hereinafter, the force acting between the mutual interference particles and other mutual interference particles is referred to as “mutual interference particle force”.
The mutual interference particle force is defined by Equation 3 below.

The order s of the repulsive force term in Equation 3 affects the magnitude of the “repulsive force”, and the order t of the attractive force term affects the magnitude of the “attractive force”. Since the influence of “attraction force” and “repulsive force” is determined by the order t and the order s, the property of the mutual interference particle force of the mutual interference particles is changed by selecting the values of the order t and the order s. Can do.
In this embodiment, the mutual interference particle is defined as a particle that is larger than the molecule and sufficiently separated from the intermolecular distance. Therefore, in Equation 3, s = 4 and t = 2.
Equation 4 shown below is
This shows an equation in which s = 4 in Equation 3 and t = 2 in Equation 3.

In Equation 4, the “attracting force” is inversely proportional to the square of the distance (L) between the interfering particles,
“Repulsive force” is defined as being inversely proportional to the fourth power of the distance (L) between interfering particles.
When the distance (L) is increased, the “repulsive force” and the “attracting force” are close to zero.
In this embodiment, in order to efficiently calculate the mutual interference particle force,
When “repulsive force” and “attracting force” are sufficiently close to zero, it is regarded as zero and the calculation is omitted.

FIG. 7 is a view showing “structure explanation of mutual interference particles”.
“19 in FIG. 7” indicates a mutual interference particle, which has a radius R1.
“20 in FIG. 7” indicates a boundary line where “repulsive force” is sufficiently close to zero and the value of “repulsive force” can be ignored,
“20 in FIG. 7” has a region having a radius R2 from the center of the mutual interference particle 19.
Hereinafter, the area “20 in FIG. 7” is referred to as “repulsive force effective area”.
“21 in FIG. 7” indicates a boundary line where the attraction is sufficiently close to zero and the value of “attracting force” can be ignored, and “21 in FIG. 7” indicates a region having a radius R3 from the center of the mutual interference particle 19. There is.
Hereinafter, the area “21 in FIG. 7” is referred to as “attractive force effective area”.
Calculate “repulsive force” only when the center of other interfering particles exists in the “repulsive effective region”
The calculation of the “attracting force” is performed only when the center of another mutual interference particle exists in the “attracting force effective region”.

FIG. 8 is a diagram showing “Description of force component vectors acting on mutual interference particles”.
“22 in FIG. 8” denotes a mutual interference particle, and a force vector acting on the mutual interference particle 22 is shown.
“F _{1 in} FIG. 8” is a vector component in the positive direction of the X axis,
“F _{2 in} FIG. 8” is a vector component in the negative direction of the X axis,
“F _{3 in} FIG. 8” is a vector component in the positive direction of the Y-axis,
“F _{4 in} FIG. 8” is a vector component in the negative direction of the Y-axis.
The force acting on the mutual interference particles is expressed by being decomposed into vector components in the X-axis and Y-axis directions, and the movement direction of the mutual interference particles and the movement distance per unit time can be calculated by calculating the combined vector of the vector components. .
If a constant force is applied to F ₂ , the fluid viscosity can be expressed, and if a constant force is applied to F ₄ , a force due to gravity can be expressed.

FIG. 9 is a diagram showing “Description of a wind tunnel defined in a memory space of a computer”.
“23 in FIG. 9” is a wind tunnel defined in “Mutual Interfering Particle Calculation Unit 3” in FIG. 1, and indicates a wind tunnel defined in the XY plane of the memory space of the computer.
The wind tunnel 23 is finely divided into squares by a line parallel to the X axis and a line parallel to the Y axis.
“24 in FIG. 9” indicates one of the finely divided squares and corresponds to one pixel of the computer display.
“P1 in FIG. 9” indicates a state in which “Pn in FIG. 4” is defined in the XY plane of the wind tunnel 23 in FIG. 9, and the XY plane coordinates in FIG. 4 are changed to the XY plane coordinates in FIG. The value of Pn (Xn, Yn) of 4 is set to P1 (X1, Y1) of FIG.
The wind tunnel model defined in FIG. 4 can be defined in the wind tunnel 23 in FIG. 9 by setting values to the corresponding coordinates in FIG. 9 for all the pixels of the image data shown in FIG.

FIG. 10 is a view showing “explanation of fluid pressure by mutual interference particle force”.
The fluid pressure corresponds to, for example, atmospheric pressure if the fluid is air.
“27, 28, 29, 30, 31, 32, 33, 34, and 35 in FIG. 10” indicate mutual interference particles, and all the mutual interference particles are arranged so that the X axis direction and the Y axis direction are equally spaced. All the interfering particles have the same “repulsive force” and the same “attracting force”.
“25 in FIG. 10” indicates a “repulsive force effective region” of the mutual interference particles 31;
“26 in FIG. 10” indicates an “attractive force effective region” of the mutual interference particles 31.
The mutual interference particles 31 receive the mutual interference particle force shown in FIGS. 6 and 4 from the mutual interference particles in the “repulsive force effective region” and the “attractive force effective region”.
“F ₁ , F ₂ , F ₃ and F _{4 in} FIG. 10” indicate vector components of the mutual interference particle force acting on the mutual interference particles 31.
“F _{1 in} FIG. 10” represents a vector component in the X-axis positive direction of the mutual interference particle force received from the mutual interference particles 27, 28, 29, 30, 31, 32, 33, 34 and 35,
“F _{2 in} FIG. 10” represents the vector component in the negative direction of the X-axis of the mutual interference particle force received from the mutual interference particles 27, 28, 29, 30, 31, 32, 33, 34 and 35,
“F _{3 in} FIG. 10” represents the vector component in the positive direction of the Y-axis of the mutual interference particle force received from the mutual interference particles 27, 28, 29, 30, 31, 32, 33, 34 and 35,
“F _{4 in} FIG. 10” shows the vector component in the negative Y-axis direction of the mutual interference particle force received from the mutual interference particles 27, 28, 29, 30, 31, 32, 33, 34 and 35.
As shown in FIG. 10, when the mutual interference particles are arranged at equal intervals, the vector components of the mutual interference particle force acting on the mutual interference particles 31 all have the same magnitude.
In FIG. 10, assuming that the “repulsive force” acting on the mutual interference particle 31 is larger than the “attracting force”, the direction of the vector acting on the mutual interference particle 31 is the direction toward the center of the mutual interference particle 31, and the force Are balanced, and the combined vector of F ₁ , F ₂ , F ₃ and F ₄ in FIG. 10 becomes zero.
FIG. 10 shows a state in which the mutual interference particles 31 receive a pressure from the surrounding mutual interference particles 31 but the mutual interference particles 31 are stationary.

FIG. 11 is a diagram showing “a description of a state in which the wind tunnel is filled with mutual interference particles”.
“36 in FIG. 11” indicates a wind tunnel defined in the memory space of the computer.
“37 in FIG. 11” shows one of the interfering particles shown in a circle filling the wind tunnel. “38 in FIG. 11” is the “repulsive force effective region”, and “39 in FIG. 11” is the “attractive force effective region”.
“40 in FIG. 11” shows a hexagonal shape with the mutual interference particle 37 as the center, and other mutual interference particles exist at each vertex of the hexagon.
“41 and 42 in FIG. 11” are mutual interference particles, and the mutual interference particles 42 exist at the vertices of the hexagon with the mutual interference particles 41 as the center. The mutual interference particle 41 exists at the vertex of the hexagonal shape with the mutual interference particle 42 as the center.
The mutual interference particles shown in FIG. 11 are present at the center of a hexagon having the same size, and another mutual interference particle is present at each vertex of the hexagon. This structure is in a state where forces acting on the mutual interference particles are balanced.
FIG. 11 shows a stable structure of the fluid by the mutual interference particles. FIG. 11 shows a state where “repulsive force” and “attracting force” of all the mutual interference particles are balanced in the wind tunnel, and the mutual interference particles in the “repulsive force effective region” are close to each other. Since it exists, the wind tunnel shown in FIG. 11 produces pressure by the fluid comprised of the interfering particles, indicating that all the interfering particles are stationary and in equilibrium.

Equation 5 shown below is a formula that defines the force of Newtonian mechanics. It is known mathematically that "changes in movement are proportional to the force applied to the object".
In Equation 5, when the mass m of the object is 1, the force is equal to the moving distance of the object per unit time.
In the following explanation, the mass of the mutual interference particle is set to 1, the force vector acting on the mutual interference particle is indicated by an arrow, the length of the arrow indicates the movement distance of the mutual interference particle per unit time, The direction is described as the moving direction of the mutual interference particles.

FIG. 12 is a diagram showing “explanation of rectification by mutual interference particles”.
FIG. 12 is the same diagram as FIG.
“36 in FIG. 12” and “36 in FIG. 11” are the same,
“37 in FIG. 12” and “37 in FIG. 11” are the same.
A different condition between FIG. 11 and FIG. 12 is that an X-axis and equilibrium force “43 in FIG. 12” is given as an initial value to all the mutual interference particles indicated by the circles shown in FIG.
Hereinafter, the vector acting on the mutual interference particles indicated by “43 in FIG. 12” is referred to as a movement vector.
In FIG. 12,
Since “repulsive force” and “attracting force” acting on all the interfering particles are balanced and given a movement vector 43,
All the mutual interference particles move in the direction of the arrow of the movement vector 43 by the size of the arrow.
"44 in FIG. 12" indicated by hatching indicates an entrance through which fluid flows into the wind tunnel 36,
“45 in FIG. 12” indicated by hatching indicates an outlet through which the fluid flows from the wind tunnel 36.

FIG. 13 is a diagram showing “explanation of rectification by generation and deletion of mutual interference particles”. FIG. 13 shows a state in which all the mutual interference particles in FIG.
“36 in FIG. 13” and “36 in FIG. 12” are the same,
“44 in FIG. 13” and “44 in FIG. 12” are the same,
“45 in FIG. 13” and “45 in FIG. 12” are the same.
When the mutual interference particles move, there is no mutual interference particle in the region “44 in FIG. 12”. By defining the mutual interference particles in the region of the entrance 44, a new mutual interference particle is defined at the entrance 44 when the conditions for creating the hexagonal structure shown in FIG.
A circle (for example, 46) indicated by a broken line in the region "44 in FIG. 13" indicates a position where a new mutual interference particle is defined.
When the mutual interference particles move to the outlet 45 (for example, the mutual interference particle 47), all the mutual interference particles in the region of the outlet 45 are deleted from the memory space.
By repeating generation of mutual interference particles at the entrance 44, movement of the mutual interference particles, and deletion of the mutual interference particles at the exit 45, rectification by the mutual interference particles flowing from the entrance 44 to the exit 45 can be made.

FIG. 14 is a diagram showing “a description of a state in which an image serving as a wind tunnel model is superimposed on a wind tunnel in a memory space”.
“48 in FIG. 14” indicates the wind tunnel of “23 in FIG. 9”.
“49 in FIG. 14” indicates a wind tunnel model based on the image “8 in FIG. 4”.
FIG. 14 shows a state in which the wind tunnel model 49 is overlapped with the pixel coordinates of the wind tunnel 48 defined on the XY plane, and the wind tunnel model 49 is overlapped on the XY plane in order to express the wind tunnel model 49 with the XY plane coordinates.

FIG. 15 is a diagram showing “an explanation in which a wind tunnel model is defined in the wind tunnel of the memory space”.
“48 in FIG. 15” is the same as “48 in FIG. 14.”
“50 in FIG. 15” indicates a wind tunnel model in which “49 in FIG. 14” is defined by pixels of the wind tunnel 48.

FIG. 16 is a view showing “an explanation defining a wind tunnel model of a memory space and mutual interference particles”. “48 in FIG. 16” is the same as “48 in FIG. 15”.
“50 in FIG. 16” is the same as “50 in FIG. 15”.
FIG. 16 shows a state in which the mutual interference particles of “51 of FIG. 16” are added to FIG.
FIG. 16 shows a state in which the interfering particles 51 are in contact with the wind tunnel model 50.
After that, about the wind tunnel defined in the memory space,
"Mutual interference particles" are indicated by black circles,
“One pixel of the wind tunnel model” is indicated by a black square,
“Undefined memory” is indicated by a white rectangle.

FIG. 17 is a diagram showing “an explanation of a method for determining the direction in which the mutual interference particles colliding with the wind tunnel model move”.
FIG. 17 is an enlarged view of a location where the mutual interference particles of FIG. 16 collide with the wind tunnel model. In this embodiment, it is assumed that the mutual interference particles do not receive “repulsive force” and “attracting force” from the wind tunnel model. Normally, when a fluid collides with an object, the direction in which the fluid travels is changed according to the inclination of the collision surface. The inclination of the object requires angle calculation, and the inclination of the slope needs to be clear. When the fluid collides with a surface orthogonal to the traveling direction or when the traveling direction is the axis and the shape is symmetrical with respect to the traveling direction, the fluid traveling direction may not be determined by the inclination angle.
As a result of receiving interference from surrounding mutual interference particles, the mutual interference particles 52 in FIG. 17 move parallel to the X axis and collide with the wind tunnel model 53 at P2. In this case, since the wind tunnel model in contact with P2 is a plane orthogonal to the traveling direction of P2, the calculation for changing the traveling direction of P2 cannot be performed due to the inclination of the wind tunnel model.

Equation 6 below is a formula for calculating a drag (resistance) D that an object receives from a fluid, and is mathematically known. From Formula 6, it can be seen that the drag D is proportional to the cross-sectional area S of the object. The cross-sectional area S in Equation 6 is a cross-sectional area that intersects the fluid traveling direction at a right angle. It is already known physically that fluid has the property of flowing in the direction of less drag (resistance).

“52 in FIG. 17” is a mutual interference particle, and shows a state in which the mutual interference particle 52 advances to unit time and moves to “P2 in FIG. 17” and collides with the wind tunnel model “53 in FIG. 17”. .
The coordinate value of the mutual interference particle P2 on the XY plane is (X2, Y2).
Since P2 moves in parallel with the X axis, the resistance that P2 gives to the wind tunnel model 53 can be determined by the cross-sectional area of the wind tunnel model 53, and the cross section is a plane parallel to the Y axis.
In FIG.
The “orthogonal line A in FIG. 17” indicates a line that passes through P2 ′ (X2 + 1, Y2) and is orthogonal to the straight line on which the mutual interference particle P2 moves. The “orthogonal line B in FIG. 17” indicates a line that passes through P2 ″ (X2 + 2, Y2) and is orthogonal to the straight line on which the mutual interference particle P2 moves.
“54 in FIG. 17” indicates the distance from the intersection P2 ′ (X2 + 1, Y2) to the boundary of the wind tunnel model in the positive direction of the Y axis, and “55 in FIG. 17” indicates Y from the intersection P2 ′ (X2 + 1, Y2). The distance to the boundary of the wind tunnel model in the negative axis direction is shown. If the thickness of the wind tunnel 53 is constant, the distance indicated by “54 in FIG. 17” and “55 in FIG. 17” is proportional to the cross section.
The length of the distance between “54 in FIG. 17” and “55 in FIG. 17” is proportional to the cross section in which the wind tunnel 53 is cut by the orthogonal line A. “54 in FIG. 17” is shorter than “55 in FIG. 17”. Accordingly, it can be determined that the mutual interference particle P2 moves in the direction of the arrow indicated by “56 in FIG.
When the distance lengths of “54 in FIG. 17” and “55 in FIG. 17” are the same, the distance to the boundary of the wind tunnel model in the Y-axis direction is compared for the orthogonal line B passing through P2 ″ (X2 + 2, Y2). To do. n is a positive integer, coordinates (X2 + n, Y2) is the origin, the distance from the origin to the center of the wind tunnel model in the positive direction of the Y-axis and the negative direction of the Y-axis is compared, and mutual interference occurs in the direction of smaller distance Determine that the particles are moving.
If all cross sections are the same and there is no difference in cross-sectional size, use the computer's one-digit random number generation function. If it is an even number, it moves in the positive direction of the Y axis. To move in the negative direction.

FIG. 18 is a view showing “Description of a method for determining a movement path of mutual interference particles colliding with a wind tunnel model (part 1)”.
18 shows the same state as FIG.
“53 in FIG. 18” and “53 in FIG. 17” are the same,
“56 in FIG. 18” and “56 in FIG. 17” are the same,
“P2 in FIG. 18” and “P2 in FIG. 17” are the same.
“57 in FIG. 18” indicates a movement vector acting on the mutual interference particle P2.
In FIG. 18, the mutual interference particle P2 is at the XY coordinate values (X2, Y2) and collides with the wind tunnel model 53.
From the description of FIG. 17, the mutual interference particle P <b> 2 of FIG. 18 changes the moving direction in the direction of the arrow 56.
It is defined that the mutual interference particle P2 moves along the shape of the wind tunnel model 53 because it does not receive “repulsive force” and “attraction force” from the wind tunnel model 53.
“58 in FIG. 18” indicates the side length of one pixel defining the wind tunnel indicated by “24 in FIG. 9”, and “59 in FIG. 18” indicates one pixel defining the wind tunnel. The length of the diagonal line is shown. Since the pixels defining the wind tunnel are sufficiently small in size relative to the wind tunnel or wind tunnel model, the lengths of “58 in FIG. 18” and “59 in FIG. It may be considered as a length.
The mutual interference particle P <b> 2 moves with the movement vector 57. If the mutual interference particle P2 is not in contact with the wind tunnel model 53, it proceeds to (X2 + 2, Y2), and the mutual interference particle P2 moves a distance of 2 pixels.
Since the wind tunnel model 53 exists, the distance of 2 pixels moves along the shape of the wind tunnel model 53, so that the mutual interference particle P2 is determined to move to the coordinates of (X2 + 2, Y2 + 2).
“60 in FIG. 18” indicates a vector in which the mutual interference particle P2 has moved,
It is determined that it becomes the movement vector of “mutual interference particle P2 ′”.

FIG. 19 is a diagram showing “Description of a method for determining a movement path of mutual interference particles colliding with a wind tunnel model (part 2)”.
“61 in FIG. 19” indicates a movement vector acting on the mutual interference particle P3.
In FIG. 19, the mutual interference particle P3 is at the XY coordinate values (X3, Y3) and collides with the wind tunnel model 64.
The mutual interference particle P3 moves with the movement vector 61. If the mutual interference particle P3 is not in contact with the wind tunnel model 64, it proceeds to (X3 + 2, Y3), and the mutual interference particle P3 moves a distance of 2 pixels.
Since the wind tunnel model 64 exists, the distance of 2 pixels moves along the shape of the wind tunnel model 64, so that the mutual interference particle P3 goes to the coordinates of (X3 + 1, Y3 + 2) through the movement path 62 and the movement path 63. Decide to move.
“65 in FIG. 19” indicates a vector in which the mutual interference particle P3 has moved,
It is determined that it becomes the movement vector of “mutual interference particle P3 ′”.

FIG. 20 is a diagram showing “Description of a method for determining a moving path of mutual interference particles colliding with a wind tunnel model (No. 3)”.
“66 in FIG. 20” indicates a movement vector acting on the mutual interference particle P4.
In FIG. 20,
The mutual interference particle P4 is at the XY coordinate values (X4, Y4) and collides with the wind tunnel model 69. The mutual interference particle P4 moves with the movement vector 66. If the mutual interference particle P4 is not in contact with the wind tunnel model 69, it proceeds to (X4 + 2, Y4), and the mutual interference particle P4 moves a distance of 2 pixels.
Since the wind tunnel model 69 exists, the distance of 2 pixels moves along the shape of the wind tunnel model 69, so that the mutual interference particle P4 moves to the coordinates of (X4, Y4 + 2) through the movement path 67 and the movement path 68. Decide to move.
"70 in FIG. 20" indicates a vector in which the mutual interference particle P4 has moved,
It is determined that it becomes the movement vector of “mutual interference particle P4 ′”.

As shown in FIGS. 17, 18, 19, and 20, when the mutual interference particles collide with the wind tunnel model, the movement is changed to the smaller cross-sectional area shown in FIG. 17, and the shape of the wind tunnel model is changed. Then, it is determined that the movement distance indicated by the movement vector acting on the mutual interference particles is to be moved.

FIG. 21 is a diagram showing “description of mutual interference particles and wind tunnel model and description of method of determining moving direction”.
“P5 in FIG. 21” indicates a mutual interference particle, which indicates coordinates (X5, Y5).
“71 in FIG. 21” indicates the X-axis component vector of the movement vector of the mutual interference particle P5,
“72 in FIG. 21” indicates the Y-axis component vector of the movement vector of the mutual interference particle P5.
“73 in FIG. 21” indicates the movement path of the mutual interference particle P5 and indicates that the movement vector of the mutual interference particle P5 is the same.
“74 in FIG. 21” shows a wind tunnel model.
Since the movement path 73 does not collide with the wind tunnel model, the movement path 73 coincides with the synthesized vector of the X-axis component vector and the Y-axis component vector of the movement vector.
The Y-axis component vector 72 is determined as “repulsive force” and “attracting force” from the mutual interference particles around the mutual interference particle P5. The mutual interference particle P5 is determined to move to P5 ′ (X5 + 4, Y5-1).
“73 in FIG. 21” indicates a vector in which the mutual interference particle P5 has moved,
It is determined that it becomes the movement vector of “mutual interference particle P5 ′”.
“Mutual interference particle P5 ′” is in a state of being separated from the wind tunnel model 74, and shows a state in which the fluid is separated from the wind tunnel model.

FIG. 22 is a diagram showing “a description of a method for determining interference and a moving direction between mutual interference particles and mutual interference particles”.
“75 and 76 in FIG. 22” indicate mutual interference particles,
“77 in FIG. 22” indicates a movement vector of the mutual interference particle 75.
“78 in FIG. 22” indicates a vector of mutual interference particle force acting by “repulsive force” and “attraction force” that the mutual interference particle 76 applies to the mutual interference particle 75;
“79 in FIG. 22” indicates a component vector in the Y-axis direction of the mutual interference particle force vector 78.
In order to simplify the explanation, it is assumed that the mutual interference particle 75 has no force acting from the mutual interference particles other than the mutual interference particle 76. “80 in FIG. 22” is a combined vector of the vector 77 and the vector 79 acting on the mutual interference particle 75. “75 ′ in FIG. 22” shows a state in which the mutual interference particles 75 are moved by the composite vector 80.
The mutual interference particles can determine the coordinates of the movement destination by vector-combining the forces received from other mutual interference particles in the “repulsive force effective region” and “attractive force effective region”.
The combined vector 80 is determined to be the movement vector of the “mutual interference particle 75 ′”.

The interfering particles determine the direction of movement based on the shape of the wind tunnel model and the force received from other interfering particles, and the resultant vector becomes the moving vector of the interfering particles after movement, so that the interfering particles are decelerated or accelerated. Create an action to do.
Depending on the magnitude and direction of the movement vector, the fluid produced by the mutual interference particles is turbulent depending on the magnitude and direction of the force received from the surrounding mutual interference particles, and turbulence, stagnant flow, and rotation flow due to the mutual interference particles are generated.

FIG. 23 is a diagram showing a “display example of a wind tunnel test apparatus using mutual interference particles as a fluid”.
“81 in FIG. 23” indicates the wind tunnel described above to the memory space of the computer.
“82 in FIG. 23” shows a wind tunnel model.
Dots inside the wind tunnel 81 (for example, dots indicated by 83) indicate mutual interference particles. FIG. 23 shows that a wind tunnel 81 is created in a memory space of a computer, a fluid is defined inside the wind tunnel by mutual interference particles, a wind tunnel test of the wind tunnel model 82 is performed, and the mutual interference particles are flowing in the wind tunnel with time. It is an example which displayed.

FIG. 24 is a diagram showing a “display example of a wind tunnel test in which the design of the wind tunnel model is changed”.
“81 in FIG. 24” is the same as “81 in FIG. 23”.
“82 in FIG. 24” is the same as “82 in FIG. 23”.
FIG. 24 shows that the free curve of “84 of FIG. 24” is input using the mouse of the coordinate input device while the wind tunnel test shown in FIG. 23 is performed, and the free curve is set as a part of the wind tunnel model. The added state is shown. The added free curve 84 is defined as the boundary line of the added wind tunnel model 82, and the mutual interference particles are different from the wind tunnel model including the free curve 84 in that the fluid flow caused by the mutual interference particles changes. This is an example in which a wind tunnel test was performed, and the state in which the interfering particles are flowing in the wind tunnel with time is displayed. Instead of a free curve, the shape of the wind tunnel model may be changed by a figure such as a straight line, a curve, or a rectangle.
The present wind tunnel test apparatus has a feature that the flow of the fluid accompanying the change of the shape can be observed with time change by changing the shape of the wind tunnel model while performing the wind tunnel test.

FIG. 25 is a flowchart showing the process of the wind tunnel test apparatus using the mutual interference particles.
“S1 in FIG. 25” secures a memory defining a wind tunnel in the memory space of the computer. In “S2 of FIG. 25”, image data serving as a wind tunnel model for performing the wind tunnel test is input.
“D1 in FIG. 25” is an external storage device, and “D2 in FIG. 25” is a coordinate input device such as a mouse. As the input image data, the image data file stored in “D1 in FIG. 25” is read. Alternatively, the shape of the wind tunnel model may be input by inputting the shape of the wind tunnel model as a coordinate value by the coordinate input device of “D2 in FIG. 25”.

"S3 in FIG. 25" identifies the image data input in S2 as a wind tunnel model, and defines it as a wind tunnel model data pixel in the wind tunnel memory secured in S1. The image data input in S2 recognizes a color different from the background color as a wind tunnel model, and defines it as wind tunnel model data by specifying XY coordinate values in the memory space shown in FIG.
“S4 in FIG. 25” determines whether to change the shape of the wind tunnel model during the wind tunnel test.
“S5 in FIG. 25” reads coordinate values from the coordinate input device D2 when the shape of the wind tunnel model is changed during the wind tunnel test.
“S6 in FIG. 25” changes the shape of the wind tunnel model using the coordinate values read in S5.
“S7 in FIG. 25” determines whether or not there is a free area that defines the mutual interference particles in the area indicated by “44 in FIG. 12”. If a free area exists, in S8 of FIG. 25, the mutual interference particles are defined in the wind tunnel defined in the memory space.

For all the mutual interference particles defined in the wind tunnel of the memory space, the location where the mutual interference particles can move is determined according to the above description in “S9 in FIG. 25”.
“S10 in FIG. 25” moves the mutual interference particles to the movement destination of the mutual interference particles determined in S9 on the XY plane of the wind tunnel in the memory space.
“S11 in FIG. 25” determines whether or not the mutual interference particles move out of the wind tunnel in the memory space in S10.
"S12 in FIG. 25" deletes the mutual interference particles moving out of the wind tunnel in the memory space when there are mutual interference particles moving out of the wind tunnel in the memory space.
“S13 in FIG. 25” displays on the display device using the wind tunnel model defined in the wind tunnel defined in the XY plane of the memory space and the coordinates of the mutual interference particles.

“S14 in FIG. 25” determines whether or not to continue the movement calculation of the mutual interference particles. When the observer of the wind tunnel test apparatus inputs a command to stop the movement calculation of the mutual interference particles, the movement calculation of the mutual interference particles is stopped. When the movement calculation of the mutual interference particles is continued, the process returns to “S4 in FIG. 25” and the above operation is repeated. By repeating the movement calculation of the mutual interference particles, it is possible to observe the time change of the movement of the mutual interference particles. The wind tunnel test is completed by canceling the movement calculation of the mutual interference particles.

According to the above explanation, “wind tunnel test equipment using mutual interference particles” defines the fluid using mutual interference particles instead of the fluid made of air or water, so that the wind tunnel test equipment can be installed in the memory space of a computer. By creating and using the image data as a substitute for a wind tunnel model, it was possible to conduct a wind tunnel test at a low cost in a short time.

The second embodiment describes a wind tunnel test apparatus in which the wind tunnel test apparatus defined in the two-dimensional XY plane shown in the first embodiment is defined in a three-dimensional XYZ space in the memory space of the computer.
FIG. 26 is a diagram showing “structural explanation of mutual interference particles in XYZ space”.
FIG. 26 shows a structure for defining the mutual interference particle structure shown in FIG.
“85 in FIG. 26” indicates a mutual interference particle defined by a sphere, “86 in FIG. 26” indicates a state in which “repulsive force effective region” of the mutual interference particle 85 is defined as a sphere, and “87 in FIG. 26” indicates The state where the “attractive force effective region” of the mutual interference particle 85 is defined as a sphere is shown.

FIG. 27 is a view showing “Description of components of force acting on mutual interference particles in XYZ space”.
FIG. 27 shows a vector component obtained by expanding the vector component in the two-dimensional space of the force acting on the mutual interference particles shown in FIG.
“88 in FIG. 27” shows the mutual interference particles in the three-dimensional space,
“F _{1 in} FIG. 27” is the same as “F _{1 in} FIG. 8” and is a vector component in the positive direction of the X-axis,
“F _{2 in} FIG. 27” is the same as “F _{2 in} FIG. 8”, and is a vector component in the negative direction of the X axis,
“F _{3 in} FIG. 27” is the same as “F _{3 in} FIG. 8” and is a vector component in the positive direction of the Y-axis,
“F _{4 in} FIG. 27” is the same as “F _{4 in} FIG. 8”, and is a vector component in the negative direction of the Y-axis.
“F _{5 in} FIG. 27” is a vector component in the positive direction of the Z-axis,
“F _{6 in} FIG. 27” is a vector component in the negative direction of the Z-axis.
The forces acting on the mutual interference particles are expressed by being decomposed into vector components in the X-axis direction, the Y-axis direction, and the Z-axis direction, and the moving direction and unit time of the mutual interference particles are calculated by calculating a composite vector of the three-dimensional vector components. The movement distance per hit can be calculated.

FIG. 28 is a diagram showing “an explanation in which a wind tunnel is defined in the XYZ memory space”.
“89 in FIG. 28” indicates a cubic wind tunnel defined in the XYZ memory space.
“90 in FIG. 28” indicates one of the finely divided cubes, and indicates a three-dimensional cube pixel that defines the wind tunnel model.
“P6 in FIG. 28” indicates a three-dimensional cubic pixel indicated by coordinates (X6, Y6, Z6).
P6 (X6, Y6, Z6) can be displayed on a computer display by creating a projection map, which is a three-dimensional graphics calculation method, on the projection plane. The calculation method of 3D graphics is known mathematically.

FIG. 29 is a diagram showing “an explanation defining a model for performing a wind tunnel test on a wind tunnel in an XYZ memory space”.
FIG. 29 is a diagram omitting the display of a three-dimensional cubic pixel in which nothing is defined.
“91 in FIG. 29” shows a state where a wind tunnel model is defined by three-dimensional cubic pixels.
“92 in FIG. 29” indicates a mutual interference particle, which is in a state of colliding with the wind tunnel model.
The wind tunnel model can be defined as a three-dimensional wind tunnel model by defining a plurality of the image data shown in FIG. A wind tunnel model can define a three-dimensional wind tunnel model by inputting XYZ coordinate values and defining a three-dimensional cubic pixel as wind tunnel data.

FIG. 30 is a diagram showing “an explanation of a method for determining a movement path of mutual interference particles colliding with a wind tunnel model in an XYZ memory space”.
FIG. 30 shows a state in which the method for determining the movement path of the mutual interference particles colliding with the wind tunnel model shown in FIG. 17 of the first embodiment is extended to the method for determining the movement path of the mutual interference particles in the three-dimensional wind tunnel model. ing.
“95 in FIG. 30” shows an XY sectional view through “92 in FIG. 29”.
“93 in FIG. 30” shows a cross section of the mutual interference particle 92 in FIG. 29, which is parallel to the X axis and moved in the positive direction of the X axis.
“94 in FIG. 30” shows a cross section of the wind tunnel model 91 in FIG.
In Example 1, when the mutual interference particles collide with the wind tunnel model, the cross section of the wind tunnel model in which the mutual interference particles intersect with the traveling direction is not uniform around the point where the mutual interference particles collide with the wind tunnel model. It is defined that the mutual interference particles move in a small direction.
In FIG. 30, if the coordinates of the mutual interference particles 93 are (X7, Y7, Z7),
“96 in FIG. 30” is a YZ cross section passing through (X7 + 1, Y7, Z7) and will be referred to as a C cross section in the following description, and “98 in FIG. 30” is a YZ cross section passing through (X7 + 2, Y7, Z7). In the following description, it is a D section.
The mutual interference particles 93 collide with the wind tunnel model at coordinates (X7, Y7, Z7).
The cross section of the wind tunnel model orthogonal to the traveling direction of the mutual interference particles 93 is a C cross section of a two-dimensional plane.
“97 in FIG. 30” indicates a collision point between the mutual interference particle 92 and the wind tunnel model.
It is defined that the mutual interference particles move in the direction in which the distance to the boundary of the wind tunnel model that is non-uniform around the collision point is a straight line passing through the collision point.
The C cross section is symmetrical about the collision point 97, and the distance from the collision point to the boundary of the wind tunnel model is the same.
In this case, similarly to the first embodiment, the mutual interference particles are shifted by one in the traveling direction, and the distance from the collision point of the D cross section to the boundary of the wind tunnel model is examined for nonuniformity.
30 is a YZ cross section showing a 98 cross section of FIG.
“99 in FIG. 30” indicates a collision point obtained by shifting the collision point 97 by one in the traveling direction of the mutual interference particles.
Of the distances from the collision point 99 to the boundary of the wind tunnel model where the D section is non-uniform, the minimum is the direction of the arrow indicated by “100 in FIG. 30”.
The mutual interference particle 92 determines to change the moving direction to the direction 100.

The mutual interference particle 93 in FIG. 30 is changed to the direction 100 by extending the two-dimensional vector calculation used in the description of FIGS. 17, 18, 19, and 20 of the first embodiment to the calculation of the three-dimensional vector. By carrying out the calculation, it is possible to determine the movement path of the mutual interference particles. As the movement path, three pixels indicated by the rectangle used in the description of FIGS. 17, 18, 19, and 20 of the first embodiment are used. The movement path can be determined by replacing with a three-dimensional cube pixel.

The two-dimensional vector calculation used in the description of FIG. 21 of the first embodiment is extended to the calculation of the three-dimensional vector, and the vector calculation is performed, whereby the moving path where the mutual interference particles and the wind tunnel model are separated can be determined. . The two-dimensional vector calculation used in the description of FIG. 22 of the first embodiment is extended to the calculation of the three-dimensional vector, and the vector calculation is performed, so that the movement path of the mutual interference particles due to the interference between the mutual interference particles and the mutual interference particles can be determined. Can be determined.

From the above description, the “wind tunnel test apparatus using the mutual interference particles” in the three-dimensional space applies the two-dimensional space wind tunnel of the first embodiment to the three-dimensional space of the second embodiment, so The “repulsive force effective region” and “attractive force effective region” of (1) enable the force of mutual interference particles to interfere with each other by three-dimensional vector calculation, thereby realizing a wind tunnel test in a three-dimensional space.

Designers and engineers who do not have expertise in wind tunnel testing have the advantage that wind tunnel tests can be performed using the image data of the design image as a wind tunnel model instead of the wind tunnel model. By using the image data designed in the planning stage in place of the wind tunnel model, it was possible to carry out the wind tunnel test at the initial stage of product development by repeating the inexpensive wind tunnel test.

DESCRIPTION OF SYMBOLS 1 Wind tunnel test apparatus using mutual interference particle to which this invention is applied 2 Data input part 3 Calculation part of mutual interference particle 4 Display part of wind tunnel test 5 Model with the same cross section 6 Model with the same cross section 7 Model with the same cross section The length of the model to have 8 Image of the cross section of the model with the same cross section 9 Particle 9
10 Particle 10
11 Distance between Particles 12 Attraction Force Acting on Particle 9 13 Attraction Force Acting on Particle 10 14 Mutual Interference Particle 14
15 Mutual interference particles 15
16 Distance between the mutual interference particle 14 and the mutual interference particle 15 17 Attracting force that the mutual interference particle 14 receives from the mutual interference particle 15 18 Force that the mutual interference particle 14 repels from the mutual interference particle 15 19 Mutual interference particle 19
20 repulsive force effective region 21 attractive force effective region 22 mutual interference particle 22
23 A wind tunnel defined in the memory space of a computer
24 Wind tunnel pixels defined in computer memory space 25 Repulsive force effective region 26 Attractive force effective region 27 Mutual interference particle 27
28 Interfering particles 28
29 Mutual interference particles 29
30 mutual interference particles 30
31 Mutual interference particles 31
32 Mutual interference particles 32
33 Mutual interference particles 33
34 Interfering particles 34
35 Mutual interference particles 35
36 Wind tunnel 36 defined in computer memory space
37 Mutual interference particles 37
38 Repulsive force effective region of the mutual interference particle 37 39 Attractive force effective region of the mutual interference particle 37 40 Hexagonal arrangement of the mutual interference particles arranged around the mutual interference particle 37 41 The mutual interference particle 41
42 Interfering particles 42
43 Initial value of movement vector of mutual interference particle 37 44 Fluid inlet of wind tunnel 36 45 Fluid outlet of wind tunnel 36 46 Interference particles 46
47 Mutual interference particles 47
48 Wind tunnel 48 defined in computer memory space
49 Wind tunnel model image 50 Wind tunnel model defined in memory space wind tunnel 51 Mutual interference particles 51
52 Interfering particles 52
53 Wind tunnel model defined to the wind tunnel in the memory space 54 Cross section 54 of the wind tunnel model
55 Cross section of wind tunnel model 55
56 Direction in which the mutual interference particle changes its path 57 Movement vector 57 of the mutual interference particle
58 pixel side length 59 pixel diagonal length 60 motion vector 60 after interfering particles collide with wind tunnel
61 Movement vector 61 of mutual interference particles
62 Movement path of mutual interference particles 62
63 Movement path 63 of mutual interference particles
64 Wind tunnel model 64
65 Movement vector 65 after mutual interference particles collide with wind tunnel
66 Movement vector 66 of mutual interference particles
67 Movement path 67 of mutual interference particles
68 Movement path 68 of the mutual interference particle
69 Wind tunnel model 69
70 Movement vector 70 after mutual interference particles collide with wind tunnel
71 X-axis component vector 71 of the movement vector of the mutual interference particles
72 Y-axis component vector 72 of the movement vector of the mutual interference particles
73 Movement path 73 of mutual interference particles
74 Wind tunnel model 74
75 Interfering particles 75
76 Interfering particles 76
77 Movement vector 78 of mutual interference particle 75 78 Force vector acting by “repulsive force” and “attracting force” applied by mutual interference particle 76 to mutual interference particle 75 79 Y-axis direction component vector of force vector 78 80 Mutual interference Combining vector 77 and vector 79 acting on particle 75 81 Wind tunnel 82 defined in computer memory space 82 Wind tunnel model 82
83 Mutual interference particles 84 Wind tunnel model boundary line with modified wind tunnel model 85 Spherical mutual interference particles defined in three-dimensional space 86 Repulsive effective area of spherical mutual interference particles 85 defined in three-dimensional space 87 Three-dimensional space The effective area of the attractive force of the spherical interfering particles 85 defined in (88) 88 The mutual interfering particles of the sphere defined in the three-dimensional space 89 The wind tunnel defined in the three-dimensional space 90 The three-dimensional cubic pixel defined in the three-dimensional space 91 In the three-dimensional space Defined wind tunnel model 92 Mutual interference particles defined in three-dimensional space 93 Mutual interference particles 94 Wind tunnel model 95 XY sectional view passing through collision point of mutual interference particles 91 and wind tunnel model 90 96 Collision between mutual interference particles 91 and wind tunnel model 90 YZ cross section of wind tunnel model in contact 97 Colliding point of mutual interference particle 91 and wind tunnel model 90 98 YZ cross section 95 is 1 pixel in the positive direction of X axis Cross-sectional view of cell-shifted YZ 99 Collision point 96 Collision point shifted by 1 pixel in the positive direction of the X axis 100 Movement change direction of mutual interference particle 92

Claims (4)

The mutual interference particles have the size, repulsion effective area and attractive force effective area of the mutual interference particles,
The repulsive effective area is larger than the size of the mutual interference particles,
The attractive force effective area has a larger area than the repulsive area,
The size and repulsive force effective region and attractive force effective region of the mutual interference particles have a concentric structure with the center of the mutual interference particles as the center of the circle,
The repulsive force effective area generates a force that repels other reciprocal interference particles when other reciprocal interference particles enter the repulsive effective area,
The attractive force effective region generates a force that attracts the mutual interference particles inside the attractive force effective region,
Define a wind tunnel in the computer memory space,
Define the image data as a wind tunnel model in the wind tunnel defined in the computer memory space,
A wind tunnel testing device characterized in that the fluid flowing in the wind tunnel defined in the memory space of the computer is defined by mutual interference particles and the wind tunnel test is performed.
Define mutual interference particles in the computer memory space,
The mutual interference particles have the size, repulsion effective area and attractive force effective area of the mutual interference particles,
The repulsive effective area is larger than the size of the mutual interference particles,
The attractive force effective area is larger than the repulsive effective area,
The size and repulsive force effective region and attractive force effective region of the mutual interference particles have a concentric structure with the center of the mutual interference particles as the center of the circle,
The repulsive force effective area generates a force that repels other reciprocal interference particles when other reciprocal interference particles enter the repulsive effective area,
The attractive force effective region is a structure of a mutual interference particle, wherein the fluid is defined by a mutual interference particle having a characteristic of generating a force that attracts the mutual interference particles inside the attractive force effective region.
Mutual interference particles are defined by a sphere, and have a repulsive force effective region and a sphere attractive force effective region,
The repulsive effective area is larger than the size of the mutual interference particles,
The attractive force effective area has a larger area than the repulsive area,
The size and repulsive force effective region and attractive force effective region of the mutual interference particles have a concentric sphere structure with the center of the mutual interference particles as the center of the sphere,
The repulsive force effective area generates a force that repels other reciprocal interference particles when other reciprocal interference particles enter the repulsive effective area,
The attractive force effective region generates a force that attracts the mutual interference particles inside the attractive force effective region,
Define a wind tunnel in the computer memory space,
Define the image data as a wind tunnel model in the wind tunnel defined in the computer memory space,
A wind tunnel testing device characterized in that the fluid flowing in the wind tunnel defined in the memory space of the computer is defined by mutual interference particles and the wind tunnel test is performed.
Define mutual interference particles in the computer memory space,
Mutual interference particles are defined by a sphere, and have a repulsive force effective region and a sphere attractive force effective region,
The repulsive effective area is larger than the size of the mutual interference particles,
The attractive force effective area is larger than the repulsive effective area,
The size and repulsive force effective region and attractive force effective region of the mutual interference particles have a concentric sphere structure with the center of the mutual interference particles as the center of the sphere,
The repulsive force effective area generates a force that repels other reciprocal interference particles when other reciprocal interference particles enter the repulsive effective area,
The attractive force effective region is a structure of a mutual interference particle, wherein the fluid is defined by a mutual interference particle having a characteristic of generating a force that attracts the mutual interference particles inside the attractive force effective region.

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