CN114154441A - Method for generating and simulating and calculating environmental turbulence field of aircraft - Google Patents
Method for generating and simulating and calculating environmental turbulence field of aircraft Download PDFInfo
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Abstract
The invention discloses a method for generating and simulating an environmental turbulence field of an aircraft, which relates to the field of computational fluid dynamics and comprises the following steps: obtaining a set random three-dimensional speed disturbance field, and then obtaining a transient speed disturbance field; superposing the transient speed disturbance field to a preset average flow field to obtain a physical turbulence speed field, and obtaining a turbulence inlet boundary condition based on the physical turbulence speed field; finishing the boundary condition setting and initial condition setting of an aircraft calculation domain based on the aircraft inflow information and the boundary condition of a turbulence inlet, and dividing grids of the aircraft calculation domain; performing simulation calculation on the environment flow field of the aircraft based on the grid information, the boundary condition setting information and the initial condition setting information; the invention can reduce the size of the calculation domain, cancel the auxiliary calculation domain and save the calculation time and cost; eliminating low-frequency uncertain disturbance which may be introduced to obtain more real turbulence; and reducing modifications to the source code to quickly and efficiently obtain desired turbulent entry conditions.
Description
Technical Field
The invention relates to the field of computational fluid dynamics, in particular to a method for generating and simulating an environmental turbulence field of an aircraft.
Background
Turbulence is a turbulent flow state, and is one of the unsolved problems in the third century and is also an important flow characteristic which must be considered in the development and design of modern aircrafts due to the characteristics of complexity, nonlinearity, three-dimensionality, dynamics, randomness and the like. High-precision numerical simulation based on a computational fluid dynamics method is one of important means for researching turbulence and also is an important means for disclosing the flow field phenomenon related to the turbulence and the basic problems such as the generation and evolution mechanism thereof.
The main methods of high-precision numerical simulation include large eddy simulation and direct numerical simulation. When the method is used for researching the turbulence related problems, a flow field calculation domain and corresponding boundary conditions need to be set, wherein the boundary conditions of the turbulence inlet which accord with the physical law are set, and the method is crucial to the calculation accuracy and the effectiveness of simulation. At present, three main inlet turbulence generation methods suitable for large vortex simulation and direct numerical simulation are provided: natural evolution, scale transformation and cyclic methods. The natural development method needs to set a super-large calculation domain, then a laminar boundary condition is applied at an inlet, and the gradual transition evolution of the laminar flow into the turbulent flow is waited. Because the high-density grid is needed for the large vortex simulation and the direct numerical simulation, the calculation amount is huge, and the calculation amount is multiplied by an oversized calculation domain, so that the method has no operability in actual calculation and cannot be really applied. The scale transformation method needs to add an auxiliary computing domain, apply periodic conditions in the independent auxiliary computing domain to enable turbulence to naturally develop, extract obtained data after obtaining mature turbulence, and apply the data to the inlet of the main computing domain. This approach greatly reduces the length of the computation domain, however, since it still requires an auxiliary computation domain to implement, the time and computation costs are still high; and because the two simulations are independent of each other, the effect of the downstream of the main computation domain on the inlet turbulence conditions is not considered. The circular method is a derivative method of the scale transformation method, and the method selects a part of the upstream of the main calculation domain as an auxiliary calculation domain, and reapplies the outlet data of the auxiliary calculation domain to the inlet through the scale transformation, so as to obtain the proper turbulence condition. However, this method introduces low-frequency uncertain disturbance, which is not suitable for studying the low-frequency phenomenon of the flow field. Meanwhile, the method needs special setting for the calculation domain, and the modification amount of the program is large.
Disclosure of Invention
The invention provides a method for generating and simulating an environmental turbulence field of an aircraft, aiming at reducing the size of a calculation domain, canceling an auxiliary calculation domain and saving calculation time and cost; eliminating low-frequency uncertain disturbance which may be introduced to obtain more real turbulence; and reducing modifications to the source code to quickly and efficiently obtain desired turbulent entry conditions.
In order to achieve the above object, the present invention provides a method for generating and simulating an aircraft environmental turbulence field, the method comprising:
step 1: obtaining a turbulence entrance boundary condition of an aircraft computational domain;
step 2: finishing the boundary condition setting and initial condition setting of an aircraft calculation domain based on the aircraft inflow information and the turbulence inlet boundary condition, and dividing the grids of the aircraft calculation domain;
and step 3: performing simulation calculation on an environment flow field of the aircraft based on the grid information of the aircraft calculation domain, the boundary condition setting information and the initial condition setting information of the aircraft calculation domain;
wherein, the step 1 specifically comprises:
step 1.1: obtaining the set random three-dimensional speed disturbance field;
step 1.2: obtaining a transient speed disturbance field based on the set random three-dimensional speed disturbance field;
step 1.3: and superposing the transient speed disturbance field to a preset average flow field to obtain a physical turbulence speed field, and obtaining a turbulence entrance boundary condition of an aircraft calculation domain based on the physical turbulence speed field.
The principle of the invention is as follows: the method comprises the steps of enabling a flow field to meet an average flow condition and a two-point spatial correlation condition through a set random three-dimensional velocity disturbance field, enabling the flow field to meet a two-point temporal correlation condition through a transformation coefficient, introducing general reference Reynolds stress, enabling a transient velocity disturbance field to meet single-point correlation and second-order statistics, ensuring that the generated turbulent flow field meets the average flow condition, time and spatial scales, first-order and second-order statistics of a physical turbulent flow field through comprehensive application of calculation steps, and ensuring the calculation efficiency while ensuring the precision because the process is simple and easy to operate and is an independent calculation process without setting an additional calculation domain or changing an original core calculation code.
Preferably, the step 1.2 specifically includes:
obtaining a conversion coefficient based on the set random three-dimensional speed disturbance field;
and obtaining the transient speed disturbance field based on the conversion coefficient and the universal reference Reynolds stress.
Preferably, the step 1.1 specifically includes:
defining a discrete filter functionN is a positive integer, and a random three-dimensional speed disturbance field is setExpressed as:
is a random number sequence with a total number of m,is andthe corresponding random number coefficients, k and l are integers, k =1, 2, 3, … ….
Preferably, a random number sequenceHas a mean of 0 and a variance of 1. The design can meet the two-point correlation condition, and the relation is the necessary characteristic of a real turbulent flow field.
wherein the content of the first and second substances,is composed ofTime of flightThe square of the square,is a spatial signature parameter.
Preferably, the first and second liquid crystal materials are,the conversion coefficient is calculated in the following way:
wherein the nth time step is divided intoThe set random three-dimensional velocity perturbation field of (2) is recorded asN-1 time stepThe set random three-dimensional velocity perturbation field of (2) is recorded as,In order to be a step of time,is a time stamp parameter.
Preferably, the transient speed disturbance field is calculated by:
wherein the content of the first and second substances,、andvelocity components in three directions of coordinate axes in the transient velocity disturbance field,,,,,is a common reference reynolds stress;、andthe conversion coefficients in the three directions x, y and z, respectively.
Preferably, the calculation method for obtaining the physical turbulent flow velocity field by superimposing the transient velocity disturbance field on the preset average flow field is as follows:
wherein the content of the first and second substances,、andvelocity components in three directions of coordinate axes in the physical turbulence velocity field,average velocity components in three directions of coordinate axes in the preset average flow field are obtained.
Preferably, the aircraft incoming flow information includes: velocity, temperature, and pressure of the incoming environment of the aircraft.
Preferably, the method further comprises step 4:
and 3, calculating to obtain flow field parameters of the aircraft around any point in the flow field based on the simulation calculation result in the step 3, and calculating to obtain performance parameters of the aircraft based on the flow field parameters.
One or more technical schemes provided by the invention at least have the following technical effects or advantages:
the method does not need an additional auxiliary calculation domain, and reduces the complexity and the calculation cost of the simulation calculation of the environmental flow field of the aircraft;
the method considers the influence of downstream flow on the upstream inlet turbulent flow field, and the obtained turbulent flow field is more real, so that the simulation calculation of the environmental flow field of the aircraft is more accurate;
the method does not introduce low-frequency uncertain interference, and the obtained turbulent flow field is more reasonable, so that the simulation calculation of the environmental flow field of the aircraft is more accurate;
the method has high turbulent flow development speed, can obtain mature turbulent flow within a small flow direction length range, and can reduce the cost and the calculation amount of the simulation calculation of the environmental flow field of the aircraft.
Drawings
The accompanying drawings, which are included to provide a further understanding of the embodiments of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention;
FIG. 1 is a schematic flow diagram of a method of ambient turbulence field generation and simulation calculation for an aircraft;
FIG. 2 is a schematic diagram of a comparison of turbulence calculation domain sizes for a natural evolution method and the present method;
FIG. 3 is a velocity profile verification plot;
FIG. 4 is a verification plot of Reynolds stress profile curves.
Detailed Description
In order that the above objects, features and advantages of the present invention can be more clearly understood, a more particular description of the invention will be rendered by reference to the appended drawings. It should be noted that the embodiments of the present invention and features of the embodiments may be combined with each other without conflicting with each other.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, however, the present invention may be practiced in other ways than those specifically described and thus the scope of the present invention is not limited by the specific embodiments disclosed below.
Example one
Referring to fig. 1, fig. 1 is a schematic flow chart of a method for generating and simulating an aircraft environmental turbulence field, the method for generating and simulating an aircraft environmental turbulence field according to the present invention includes:
step 1: obtaining a turbulence entrance boundary condition of an aircraft computational domain;
step 2: finishing the boundary condition setting and initial condition setting of an aircraft calculation domain based on the aircraft inflow information and the turbulence inlet boundary condition, and dividing the grids of the aircraft calculation domain;
and step 3: performing simulation calculation on an environment flow field of the aircraft based on the grid information of the aircraft calculation domain, the boundary condition setting information and the initial condition setting information of the aircraft calculation domain;
wherein, the step 1 specifically comprises:
step 1.1: obtaining a set random three-dimensional speed perturbation field;
step 1.2: obtaining a transient speed disturbance field based on the set random three-dimensional speed disturbance field;
step 1.3: and superposing the transient speed disturbance field to a preset average flow field to obtain a physical turbulence speed field, and obtaining a turbulence entrance boundary condition of an aircraft calculation domain based on the physical turbulence speed field.
In the present embodiment, the boundary condition of the turbulence inlet does not include three sub-steps, and a three-dimensional velocity disturbance field is obtained and satisfies the two-point correlation condition; secondly, converting the obtained set three-dimensional speed disturbance field into a real transient speed disturbance field, and enabling the real transient speed disturbance field to meet the cross-correlation condition; and finally, superposing the obtained transient speed disturbance field on a specified average flow field to obtain the synthesized physical turbulence. Wherein the two-point correlation and cross-correlation characteristics are the necessary characteristics of a real turbulent flow field.
The specific technical scheme is as follows:
obtaining a set random three-dimensional velocity perturbation field:
for simplicity of explanation, a one-dimensional physical problem is taken as an example for explanation. First, a discrete filter function is defined(N is a positive integer), then a random perturbation field can be expressed as:
wherein the content of the first and second substances,is a series of random numbers with a total number m,are the corresponding random number coefficients (k and l are integers, where k =1, 2, 3, … …). In order to satisfy the two-point correlation condition, a random number sequenceThe conditions of mean 0 and variance 1 are satisfied. The random number coefficient may be obtained by the following equation:
is composed ofTime of flightThe square of the square,random numbers for the spatial signature parameters, equal to the ratio of the inertial measure to the grid sizeMersennetwist can be used (for a specific method, see Matsumoto M, Nishimura T. Mersene twister: a 623-dimensional equivalent irregular uniform pseudo-random number generator [ J)]ACM transformations on Modeling and Computer Simulation, 1998, 8(1): 3-30.) method, using equation (1) to obtain the assumed three-dimensional velocity perturbation field, and dividing the nth time step intoThe three-dimensional velocity disturbance field is marked as。
Obtaining a real transient speed disturbance field:
Wherein the content of the first and second substances,in order to be a step of time,is a time-stamp parameter equal to the ratio of the inertial scale to the velocity of the main flow. Thereby realizing a real three-dimensional transient speed disturbance fieldComprises the following steps:
wherein the content of the first and second substances,,,,,this data is derived from any existing turbulence field reference data for a given universal reference reynolds stress.
And (3) superposing to obtain a complete physical turbulence velocity field:
wherein the content of the first and second substances,the velocity components in three directions of the coordinate axes,the average velocity components for the three directions can be obtained by integrating the boundary layer equation.
Obtaining performance parameters of the aircraft:
after the inlet boundary condition of the aircraft computational domain is obtained, other boundary conditions and initial conditions of the computational domain are set according to the speed, temperature and pressure of the inflow environment of the aircraft, grids of the computational domain are divided, and then the environmental flow field of the aircraft can be simulated and calculated by using a large vortex simulation or direct numerical simulation method (Pope S B. turboflow [ M ]. Cambridge University Press, 2000.), so that flow field parameters of the aircraft around any point in the flow field, such as pressure, density, speed and the like, are obtained, and further performance parameters of the aircraft, such as lift force, resistance and the like, can be obtained through simple calculation.
Example two
Referring to fig. 2, fig. 2 is a schematic diagram illustrating a comparison between sizes of turbulence calculation domains of a natural development method and a method, where 1 in fig. 2 is a turbulence calculation domain corresponding to the natural development method, and 2 in fig. 2 is a turbulence calculation domain corresponding to the method, and it can be seen from fig. 2 that the size of the calculation domain of the method is significantly smaller than that of the turbulence calculation domain corresponding to the natural development method.
The method comprises the following specific implementation steps:
the following description will be given by taking a flat plate example as an example of performing high-precision simulation by using a large vortex simulation method. The main flow parameters of the initial flow field are: reynolds numberMach number ofStagnation pressureStagnation temperatureThe inlet boundary layer has a thickness of。
Determining the size of the calculation domain of the example, the length of the calculation domain flowing to the x direction isThe y-direction perpendicular to the plate is calculated as the field lengthThe span-wise z-direction calculated field length is(ii) a Carrying out grid division on the calculation domain to obtain the grid sizes of the wall surfaces in three directions x, y and z。
Obtaining average parameters of the flow field at the inlet according to the main flow parameters and the boundary layer equation, wherein the average parameters comprise average speedMean temperature ofAnd mean pressure。
Determining a three-dimensional random number field according to the Mersennetwist method(ii) a According to the formula:
determining corresponding coefficientsWherein isThe ratio of the inertia scale of the corresponding direction to the grid size, the inertia scale is the characteristic scale of the flow field, and the thickness of the boundary layer can be takenThen, then. And calculating the vertical wall surface and the expansion direction and the like.
Wherein the content of the first and second substances,is arbitrarily greater thanThe number of the integer (c) of (d),is arbitrarily greater thanThe number of the integer (c) of (d),is arbitrarily greater thanIs an integer of (1).
Wherein the content of the first and second substances,which represents a step of time in size,represents the value of the n-th step,is the inertia scale and the main flow velocityThe inertia scale is the characteristic scale of the flow field, and the thickness of the boundary layer can be takenThen, then。
Calculating a turbulent velocity disturbance field according with a physical law:
wherein the content of the first and second substances,,,,,this data is derived from any existing turbulence field reference data for a given universal reference reynolds stress.
And (3) superposing to obtain a final turbulent flow field:
obtaining performance parameters of the aircraft:
after the inlet boundary condition of the aircraft computational domain is obtained, other boundary conditions and initial conditions of the computational domain are set according to the speed, temperature and pressure of the inflow environment of the aircraft, grids of the computational domain are divided, and then the environmental flow field of the aircraft can be simulated and calculated by using a large vortex simulation or direct numerical simulation method, so that flow field parameters of the aircraft at any point in the flow field, such as pressure, density, speed and the like, can be obtained, and further performance parameters of the aircraft, such as lift force, resistance and the like, can be obtained through simple calculation.
Referring to fig. 3-4, fig. 3 is a velocity profile verification diagram, from fig. 3, it can be seen that the velocity profile obtained by the method is almost identical to the reference verification data and theoretical value, fig. 4 is a reynolds stress profile verification diagram, from fig. 4, it can be seen that the reynolds stress profile obtained by the method is basically consistent with the reference verification data, and the frequency selection techniques in fig. 3 and fig. 4 are the methods of the present invention.
While preferred embodiments of the present invention have been described, additional variations and modifications in those embodiments may occur to those skilled in the art once they learn of the basic inventive concepts. Therefore, it is intended that the appended claims be interpreted as including preferred embodiments and all such alterations and modifications as fall within the scope of the invention.
It will be apparent to those skilled in the art that various changes and modifications may be made in the present invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.
Claims (10)
1. A method of ambient turbulence field generation and simulation calculation for an aircraft, the method comprising:
step 1: obtaining a turbulence entrance boundary condition of an aircraft computational domain;
step 2: finishing the boundary condition setting and initial condition setting of an aircraft calculation domain based on the aircraft inflow information and the turbulence inlet boundary condition, and dividing the grids of the aircraft calculation domain;
and step 3: performing simulation calculation on an environment flow field of the aircraft based on the grid information of the aircraft calculation domain, the boundary condition setting information and the initial condition setting information of the aircraft calculation domain;
wherein, the step 1 specifically comprises:
step 1.1: obtaining a set random three-dimensional speed perturbation field;
step 1.2: obtaining a transient speed disturbance field based on the set random three-dimensional speed disturbance field;
step 1.3: and superposing the transient speed disturbance field to a preset average flow field to obtain a physical turbulence speed field, and obtaining a turbulence entrance boundary condition of an aircraft calculation domain based on the physical turbulence speed field.
2. The aircraft environmental turbulence field generation and simulation calculation method according to claim 1, wherein the step 1.2 specifically comprises:
obtaining a conversion coefficient based on the set random three-dimensional speed disturbance field;
and obtaining the transient speed disturbance field based on the conversion coefficient and the universal reference Reynolds stress.
3. The aircraft environmental turbulence field generation and simulation calculation method according to claim 2, wherein the step 1.1 specifically comprises:
defining a discrete filter functionN is a positive integer, and a random three-dimensional speed disturbance field is setExpressed as:
5. The aircraft environmental turbulence field generation and simulation calculation method of claim 3,the calculation method is as follows:
6. The aircraft environmental turbulence field generation and simulation calculation method of claim 3,the conversion coefficient is calculated in the following way:
7. The method of claim 6, wherein the transient velocity disturbance field is calculated by:
8. The method according to claim 7, wherein the calculation of the physical turbulent velocity field obtained by superimposing the transient velocity disturbance field on the preset average flow field is performed by:
9. The method of claim 1, wherein the aircraft inflow information comprises: velocity, temperature, and pressure of the incoming environment of the aircraft.
10. The aircraft environmental turbulence field generation and simulation calculation method of claim 1, further comprising the step of 4:
and 3, calculating to obtain flow field parameters of the aircraft around any point in the flow field based on the simulation calculation result in the step 3, and calculating to obtain performance parameters of the aircraft based on the flow field parameters.
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CN116412991B (en) * | 2023-06-12 | 2023-08-22 | 中国空气动力研究与发展中心高速空气动力研究所 | Method for synchronously simulating flying height and flying speed in wind tunnel flow field test |
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