JP2010262497A - Apparatus for support of layout plan - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a layout plan support apparatus for simply and quickly making a layout plan of buildings or the like considering effect having on surrounding environments. <P>SOLUTION: The layout plan support apparatus 100 includes: an image display means G for displaying three-dimensional shape objects T1 to T3 on a screen; a pointing device P for moving the three-dimensional shape objects T1 to T3 on the screen; an analytical model creation means 13 for creating a three-dimensional analytical model to which the positions and directions of the three-dimensional shape objects T1 to T3 displayed on the screen are reflected; and an analysis means 15 for simulating effect to be exerted by plan targets upon surrounding environments by using the three-dimensional analytical model. The analytical model creation means 13 forms orthogonal meshes in a three-dimensional analytical area R including the three-dimensional shape objects T1 to T3 and sets aggregates T1' to T3' of rectangular parallelepiped cells as the analytical model of the three-dimensional shape objects T1 to T3 to create the three-dimensional analytical model. <P>COPYRIGHT: (C)2011,JPO&INPIT

Description

  The present invention relates to an arrangement plan support apparatus for supporting creation of an arrangement plan for buildings, equipment, furniture, and the like.

  When planning an arrangement plan for buildings, equipment, furniture, etc. (hereinafter referred to as “planned objects”), the three-dimensional object of the planned object displayed on the screen such as a display or screen is moved on the screen, etc. There has been known a method for forming an agreement among related parties by presenting an alternative plan of an arrangement plan on a screen in real time (see Patent Document 1). By using this method, it is possible to proceed with discussions while sharing the image of alternatives even if the interests and positions differ among the parties concerned. Can be significantly reduced.

JP 2007-334698 A

  In recent years, in addition to factors such as convenience and functionality, when planning an arrangement considering the influence of the planning object on the surrounding environment (for example, the influence of the existence of the planning object on airflow and temperature, etc.) There is.

  In order to quantitatively and objectively grasp the influence of the existence of the planning object on the surrounding environment, an analysis model for numerical analysis corresponding to the arrangement plan of the planning object is created, and simulation by computer (numerical analysis) However, there is a problem that it takes time to create and calculate an analysis model. In particular, with the consensus building method described above, the parties concerned meet together to make consensus building while correcting the placement plan itself. If the placement plan is revised, the analysis model is recreated. Since it is necessary to perform another simulation, it is extremely difficult to promptly present the simulation result in the consensus building place. Therefore, the consensus discussion must be stopped until the simulation result is obtained. In many cases, discussions will be resumed at a later date, but this will not allow for quick consensus building.

  From this point of view, the present invention is an arrangement plan support apparatus for supporting the creation of an arrangement plan for an object to be planned, and makes it possible to easily and quickly make an arrangement plan in consideration of the influence on the surrounding environment. It is an object to provide an arrangement planning support device.

  The present invention for solving the above-described problems includes an image display means for displaying a three-dimensional object of a planning object on a screen, a pointing device for moving the three-dimensional object on the screen, and the three-dimensional object displayed on the screen. Analysis model creation means for creating a three-dimensional analysis model for numerical analysis reflecting the position and orientation of the shape object, and analysis for simulating the influence of the planning object on the surrounding environment using the three-dimensional analysis model And the analysis model creating means forms an orthogonal mesh in a three-dimensional analysis region containing the three-dimensional shape object, and converts an assembly of rectangular parallelepiped cells into the three-dimensional shape object. The three-dimensional analysis model is created by using the above model.

“Planned object” means an object that is the object of the arrangement plan, such as a building, equipment, furniture, etc., and “three-dimensional object” is drawn on a computer using three-dimensional coordinate data Means an object (computer graphic).
The “image display means” includes not only various displays but also a projector.
Examples of the “pointing device” include a mouse, a joystick, a keyboard, a force feedback device (reaction force device), and the like.

  The “influence of the planning object on the surrounding environment” may be simulated by an appropriate analysis method. For example, “the influence of the planning object on the surrounding environment” by “change in airflow and water flow around the planning object” When evaluating the above, it is desirable to perform simulation by fluid analysis (CFD analysis).

  According to the present invention, a three-dimensional analysis model reflecting the position and the like of a three-dimensional object displayed on the screen is created, a simulation using the three-dimensional analysis model is performed, and the simulation result is included. The image will be displayed on the screen. In particular, according to the present invention, the analysis model of the three-dimensional object is expressed by a collection of rectangular parallelepiped cells, so that the time required for modeling and the time required for simulation are reduced. That is, according to the present invention, it is possible to immediately simulate the influence on the surrounding environment of the arrangement plan (alternative) displayed on the screen, and the result can be presented almost in real time. As a result, an arrangement plan that considers the influence on the surrounding environment can be easily and quickly made.

  In the arrangement plan support apparatus according to the present invention, the orthogonal mesh creation rule (for example, minimum mesh interval, maximum mesh interval, X direction target mesh number, Y direction target mesh number, Z direction target mesh number, etc.) and simulation analysis You may provide the memory | storage means to memorize | store conditions (for example, various initial conditions, an analysis time interval, the number of cycles). In this case, the analysis model creation unit has a function of reading the creation rule from the storage unit and a function of creating the three-dimensional analysis model according to the creation rule, and the analysis unit stores the storage It is preferable to provide a function of reading the analysis condition from the means and a function of simulating the influence of the planning object on the surrounding environment according to the analysis condition.

  If the rules for creating the orthogonal mesh and the analysis conditions for the simulation are specified in advance, the simulation of the layout plan displayed on the screen can be executed quickly without forcing the user of the layout plan support device to perform complicated operations. It becomes possible.

  According to the present invention, an arrangement plan that takes into consideration the influence on the surrounding environment can be made easily and quickly.

It is a schematic diagram which shows the arrangement plan assistance apparatus which concerns on embodiment of this invention. It is a flowchart which shows the preparation procedure of a three-dimensional analysis model. It is a typical perspective view for demonstrating the preparation procedure of a three-dimensional analysis model. FIG. 4 is a schematic diagram for explaining a procedure for creating a three-dimensional analysis model, and is a diagram showing a state in which the bottom surface of the three-dimensional analysis region shown in FIG. 3 is viewed from above. FIG. 5 is a schematic diagram for explaining a creation procedure subsequent to FIG. 4, and shows a state in which a bottom surface of a three-dimensional analysis region is viewed from above. FIG. 6 is a schematic diagram for explaining a creation procedure subsequent to FIG. 5, showing a state in which the bottom surface of the three-dimensional analysis region is viewed from above. It is a typical perspective view which shows the state which simplified the solid-shaped object with the aggregate | assembly of the rectangular parallelepiped cell. It is a typical perspective view which shows the state which displayed the simulation result.

  The arrangement plan support apparatus 100 according to the embodiment of the present invention is used when planning an arrangement plan of a building (planned object), and displays three-dimensional objects T1 to T3 that are pseudo models of the building on the screen. A function to display, a function to move the three-dimensional objects T1 to T3 on the screen, and a function to create a three-dimensional analysis model for numerical analysis reflecting the position and orientation of the three-dimensional objects T1 to T3 displayed on the screen In addition, it has a function of simulating wind flow using a three-dimensional analysis model.

  As shown in FIG. 1, the arrangement plan support apparatus 100 of this embodiment includes a computer C, an image display means G, and a pointing device P.

  The computer C includes various interfaces in addition to the arithmetic processing means 1, the drawing processing means 2, the storage means 3, and the like.

  The arithmetic processing means 1 includes an MPU (microprocessor) that performs arithmetic processing. The arithmetic processing means 1 reads various programs and data stored in the storage means 3 and performs arithmetic operations on the MPU, whereby the object creating means 11, It functions as the analysis area setting means 12, the analysis model creation means 13, the solver input file creation means 14, the analysis means 15, and the like.

  The object creation means 11 is an editor for defining the shapes and boundary conditions of the three-dimensional shape objects T1 to T3. Although not shown, the object creation means 11 displays a screen that prompts input of data related to the shapes of the three-dimensional objects T1 to T3 (for example, a planar shape, an elevation shape, dimensions, etc.), and the three-dimensional objects T1 to T1. A screen that prompts the user to input data related to the boundary condition of T3 (for example, the friction coefficient, temperature, and transmittance of the surfaces of the three-dimensional objects T1 to T3) is displayed and input via an input means (not shown) such as a keyboard. The stored data is stored in an object data file 31 to be described later.

  The analysis region setting means 12 is an editor for defining the shape and boundary conditions of the three-dimensional analysis region R. Note that the three-dimensional analysis region R is a pseudo model of a space in which the impact evaluation is to be performed, and is set so as to include the three-dimensional object T. The three-dimensional analysis region R of the present embodiment has a rectangular parallelepiped shape. Although not shown, the analysis region setting unit 12 displays a screen that prompts the user to input data related to the shape of the three-dimensional analysis region R (for example, a planar shape, an elevation shape, dimensions, etc.), and the three-dimensional analysis region R. Displays a screen that prompts the user to input data related to boundary conditions (for example, friction coefficient, temperature, transmittance, etc.) to be set on the boundary surface that surrounds the data, and displays the data input via input means (not shown) such as a keyboard. The data is stored in an area data file 32 which will be described later.

  The analysis model creation means 13 creates a three-dimensional analysis model for numerical analysis reflecting the positions and orientations of the three-dimensional objects T1 to T3 displayed on the screen. The analysis model creation means 13 of the present embodiment forms an orthogonal mesh in the three-dimensional analysis region R, and uses a collection of rectangular parallelepiped cells (a collection of a plurality of rectangular parallelepiped cells) as an analysis model of the three-dimensional object T. Create a 3D analysis model.

  The solver input file creation means 14 converts the three-dimensional analysis model created by the analysis model creation means 13 into a data format that can be used by the analysis means 15 and creates a solver input file 34.

  The analysis unit 15 uses the three-dimensional analysis model created by the analysis model creation unit 13 to simulate the influence of the planning object on the surrounding environment by time calendar analysis. The analysis unit 15 according to the present embodiment simulates a change in airflow by fluid analysis (CFD analysis), and outputs the result (for example, wind speed, wind direction, wind pressure, temperature, etc. at each node) to the result file 35.

  The drawing processing means 2 includes a GPU (graphic chip) that generates image data to be displayed on the image display means G based on the drawing command received from the arithmetic processing means 1, and a VRAM (VRAM that holds the generated image data). Video memory). The drawing processing means 2 of the present embodiment reads information on the viewpoint (camera position), the object data file 31, and the area data file 32 from the storage means 3, and the three-dimensional objects T1 to T3 and the three-dimensional analysis area R. 2D data for displaying the state of viewing from the designated viewpoint is generated, and image data of the three-dimensional objects T1 to T3 and the three-dimensional analysis region R are generated based on the two-dimensional data. In addition, the drawing processing unit 2 reads the result file 35 from the storage unit 3 and generates two-dimensional data for displaying the simulation result on the screen, and images such as vectors, contour diagrams, and particles based on the two-dimensional data. Generate data.

  The storage unit 3 stores various programs and data, and includes a RAM, a ROM, a hard disk, and the like. The storage means 3 includes various programs for causing the arithmetic processing means 1 to function as the analysis model creation means 13 and the analysis means 15 as well as an object data file 31, an area data file 32, an initial setting file 33, and a solver input file 34. The result file 35 and the like are stored.

  The object data file 31 includes data relating to the shapes of the three-dimensional objects T1 to T3 (for example, planar shape, elevation shape, dimensions, three-dimensional coordinate data, etc.), and boundaries to be set on the surfaces of the three-dimensional objects T1 to T3. Information such as data relating to conditions (for example, friction coefficient, temperature, transmittance, etc.) and data (for example, color) necessary for drawing the three-dimensional objects T1 to T3 are stored.

  The area data file 32 includes data relating to the shape of the three-dimensional analysis region R (for example, a planar shape, an elevation shape, dimensions, three-dimensional coordinate data, etc.), and a boundary to be set on a boundary surface surrounding the three-dimensional analysis region R. Information such as data related to conditions (for example, friction coefficient, temperature, transmittance, etc.) and data (for example, color) necessary for drawing the three-dimensional boundary region R are stored.

The initial setting file 33 includes data relating to a rule for creating a three-dimensional analysis model (for example, minimum mesh interval d _min , maximum mesh interval d _max , maximum division number N _max , X direction target mesh number, Y direction target mesh number, Z Information such as direction target mesh count) and data related to simulation analysis conditions (for example, wind speed, wind temperature, initial temperature, analysis time interval, cycle count) are stored.

  The image display means G displays an image based on the image data output from the drawing processing means 2 and is connected to the computer C via an appropriate interface. The image display means G of the present embodiment is a projector that projects an image on a screen.

  The pointing device P is used when moving, rotating, and deforming the three-dimensional objects T1 to T3 and the three-dimensional analysis region R on the screen, and is connected to the computer C through an appropriate interface. The pointing device P is linked with a pointer (cursor) displayed on the screen, and can input various commands to the computer C on the screen. The operation method for moving the three-dimensional objects T1 to T3 and the three-dimensional analysis region R may be set as appropriate according to the needs of the operator or the like. For example, in a state where the three-dimensional objects T1 to T3 are selected. By performing an operation such as dragging, the three-dimensional objects T1 to T3 can be moved to an arbitrary position. Data relating to the three-dimensional objects T1 to T3 after movement, rotation or deformation is stored in the object data file 31, and data relating to the three-dimensional analysis region R is stored in the region data file 32.

Next, the function of the analysis model creation means 13 will be described in detail with reference to FIGS.
The analysis model creation means 13 of this embodiment creates a three-dimensional analysis model by reading the orthogonal mesh creation rules from the storage means 3 and executing steps S1 to S10 shown in the flowchart of FIG.

  As shown in FIG. 3, the analysis model creation means 13 creates an orthogonal mesh that passes through the forced nodes a, a,... Provided on the outer surface of the three-dimensional object T1, and is not shown in FIG. The orthogonal meshes passing through the forced nodes a, a,... Provided on the outer surfaces of the three-dimensional objects T2, T3 are created (step S1). In other words, the analysis model creating means 13 has three planes passing through the forced node a at each of the plurality of forced nodes a, a,. Is formed as a normal line), the rectangular parallelepiped three-dimensional analysis region R is divided into a plurality of rectangular parallelepiped cells. In the present embodiment, the vertices of the three-dimensional objects T1 to T3 are set as the forced nodes a, but it is needless to say that forced nodes other than the vertices may be set. FIG. 4 is a view of the bottom surface of the three-dimensional analysis region after passing through step S1, and the line segment y1 shown in the drawing is an intersection of the plane and the bottom surface with the X axis as a normal line. The line segment x1 is a line of intersection between a plane and a bottom surface normal to the Y axis.

Subsequently, the analysis model creation means 13 reads the maximum mesh interval d _max defined in the initial setting file 33, and for each of the plurality of cuboid cells created in step S1, the length of each side of the cuboid cell. It is determined whether or not the size is equal to or less than the maximum mesh interval d _max (step S2). That is, whether the analysis model creation means 13 has a maximum mesh interval d _max or less for each of the length dimension in the X-axis direction, the length dimension in the Y-axis direction, and the length dimension in the Z-axis direction of the rectangular parallelepiped cell. Determine whether or not.

If it is determined as “No” in step S2, the process proceeds to step S3, and a rectangular parallelepiped cell group (a rectangular parallelepiped cell group hatched in FIG. 4) including a side larger than the maximum mesh interval d _max is included. The division is performed on a plane orthogonal to the side determined to be larger than the maximum mesh interval d _max . In this embodiment, each rectangular parallelepiped cell is divided into two by dividing a side larger than the maximum mesh interval d _max into two (a line segment y2 shown in FIG. 5). Although not shown, there is no obstacle to the free n aliquoted larger side than the maximum mesh distance d _max.

If “Yes” is determined in step S2, the mesh division number N (the number of rectangular parallelepiped cells) is counted, and it is determined whether or not the division number N exceeds the maximum division number N _max (step S4). .

If it is determined that the division number N does not exceed the maximum division number N _max (No), new orthogonal meshes are added to both sides of the plane passing through the forced vertex a (step S5). The mesh interval of the orthogonal mesh to be added is set to the minimum mesh interval d _min defined in the initial setting file 33. In FIG. 5, the rectangular parallelepiped cell group at the hatched position is a rectangular parallelepiped cell group newly created in step S5.

Subsequently, the analysis model creation 13 counts the mesh division number N (the number of rectangular parallelepiped cells) after step S5, and determines whether the division number N exceeds the maximum division number _Nmax (step S6). ).

If it is determined that the division number N does not exceed the maximum division number N _max (No), the rectangular parallelepiped cells created up to step S5 are divided according to a predetermined rule (step S7). There is no limitation on the division rule in step S7, but, for example, a rectangular parallelepiped cell group including a side in the X-axis direction (or Y-axis direction) that is larger than twice the minimum mesh interval d _min is extracted and is the largest. A method of dividing a rectangular parallelepiped cell group having sides in the X-axis direction (or Y-axis direction) into two equal parts on a plane orthogonal to the X-axis (or Y-axis), or a Z-axis larger than twice the minimum mesh interval d _min There is a method of extracting a rectangular parallelepiped cell group including a direction edge and dividing a rectangular parallelepiped cell group located in the lowermost layer into two equal parts by a plane orthogonal to the Z axis.

If it is determined in step S4 or step S6 that the division number N exceeds the maximum division number _Nmax (Yes), the three-dimensional objects T1 to T3 are selected from the plurality of rectangular parallelepiped cells formed in steps S1 to S7. A rectangular parallelepiped cell corresponding to T3 is extracted (step S8). The analysis model creation means 13 of this embodiment determines whether or not the center point (centroid point) of the rectangular parallelepiped cell is located inside the surface (contour surface) of the three-dimensional objects T1 to T3. A rectangular parallelepiped cell (a cuboid cell at a hatched position in FIG. 6) in which the center of gravity point) is located inside the surface of the three-dimensional object T1 to T3 is extracted as a rectangular parallelepiped cell corresponding to the three-dimensional object T1 to T3. To do.

  Next, the analysis model creation means 13 reads out and reads out from the object data file 31 data relating to boundary conditions to be set on the surfaces of the three-dimensional objects T1 to T3 (for example, friction coefficient, temperature, transmittance, etc.). Based on the obtained data, boundary conditions are given to the outer surfaces of the aggregates T1 ′ to T3 ′ of the rectangular parallelepiped cells.

  After steps S8 and S9, each of the three-dimensional objects T1 to T3 is represented by a set of rectangular parallelepiped cells T1 ′ to T3 ′ as shown in FIG. 7, but the aggregates T1 ′ to T3 ′. Reflects the position and orientation of the three-dimensional objects T1 to T3.

  Next, the analysis model creating means 13 reads out and reads out data (for example, friction coefficient, temperature, transmittance, etc.) related to boundary conditions to be set on the boundary surface of the three-dimensional analysis region R from the region data file 32. A boundary condition is given to the boundary surface of the three-dimensional analysis region R based on the obtained data.

  Data relating to the three-dimensional analysis model obtained through steps S1 to S10 is stored in the storage means 3.

Next, an arrangement plan planning procedure using the arrangement plan support apparatus 100 will be described.
First, the arrangement planning support apparatus 100 is activated, and the object creation means 11 defines the basic shape (planar shape, elevation shape, dimensions, etc.) and boundary conditions of the three-dimensional object T. Data relating to the three-dimensional object T defined by the object creating means 11 is stored in the object data file 31. It should be noted that the work of defining the basic shape and the like of the three-dimensional shape object T is preferably performed in advance before the related parties meet together.

  Next, the three-dimensional objects T <b> 1 to T <b> 3 are displayed on the screen when the parties concerned meet together.

  As a result of discussion while looking at the three-dimensional objects T1 to T3, if an alternative is proposed from the parties concerned, the pointing device P is operated to move, rotate, and rotate the three-dimensional objects T1 to T3 on the screen. Deform. Since the alternative plan of the arrangement plan is presented on the screen in real time, the discussion can be advanced while sharing the image of the alternative plan. Data regarding the three-dimensional objects T1 to T3 after being moved, rotated or deformed is stored in the object data file 31 as needed.

  If an approximate consensus is formed, the process proceeds to a process of evaluating the influence of the building on the surrounding environment (change in airflow in this embodiment) when the arrangement plan is implemented.

  In this process, first, the shape and size of the three-dimensional analysis region R, the direction of the wind to be applied to the three-dimensional analysis region R, and the like are set. In the present embodiment, one boundary surface (left side surface in the present embodiment) of the three-dimensional analysis region R is windward. Therefore, when the wind direction is changed, the pointing device P is operated on the screen. The three-dimensional analysis region R is rotated.

  Next, a simulation start command is input via the pointing device P or input means (not shown). When a simulation start command is input, a program for creating an analysis model is read into the arithmetic processing means 1, and the arithmetic processing means 1 functions as the analysis model creating means 13 and as a result reflects the positions and orientations of the three-dimensional objects T1 to T3. A three-dimensional analysis model is created.

  When the three-dimensional analysis model is created, a program for creating a solver input file is read into the arithmetic processing means 1, and the arithmetic processing means 1 functions as the solver input file creating means 14. The solver input file creation means 14 converts the data relating to the three-dimensional analysis model into a data format used by the analysis means 15 and creates a solver input file 34. The solver input file 34 is stored in the storage unit 3.

  When the solver input file 34 is created, a fluid analysis program is read into the arithmetic processing means 1, and the arithmetic processing means 1 functions as the analyzing means 15. The analysis unit 15 stores data (for example, wind speed, wind temperature, initial temperature, analysis time interval, number of cycles) and solver input file 34 relating to the simulation analysis conditions stored in the initial setting file 33 from the storage unit 3. The data of the three-dimensional analysis model stored in is read, and then the change in airflow is simulated by fluid analysis (CFD analysis).

  When the simulation is performed by the analysis unit 15, the result is output to the result file 35.

  When the fluid analysis is completed, image data such as vectors, contour diagrams, and particles representing the simulation result is generated by the drawing processing means 2, and as shown in FIG. 8, aggregates T1 ′ to T3 ′ in the three-dimensional analysis model are generated. And displayed on the screen. Note that the simulation result may be superimposed and displayed on the image (three-dimensional shape objects T1 to T3) shown in FIG.

  If the simulation results are displayed on the screen, the discussion by the parties concerned will be resumed and the validity of the alternatives will be examined. If no consensus is reached, the pointing device P is operated to display other alternatives on the screen, and a three-dimensional analysis model is created and simulated again.

  Thus, according to the arrangement plan support apparatus 100, a three-dimensional analysis model reflecting the positions of the three-dimensional objects T1 to T3 displayed on the screen is created, and a simulation using the three-dimensional analysis model is performed. An image including the simulation result is displayed on the screen.

  In particular, according to the arrangement planning support apparatus 100, the analysis model of the three-dimensional objects T1 to T3 is expressed by the aggregates T1 ′ to T3 ′ of rectangular parallelepiped cells, so that the time required for modeling and the time required for simulation are reduced. Will come to be. That is, according to the arrangement plan support apparatus 100, it is possible to immediately simulate the influence of the arrangement plan (alternative) displayed on the screen on the surrounding environment, and present the result almost in real time. As a result, an arrangement plan that takes into consideration the influence on the surrounding environment can be made easily and quickly.

  Further, according to the arrangement plan support apparatus 100, since the rules for creating the orthogonal mesh and the analysis conditions for the simulation are defined in advance, the arrangement plan support apparatus 100 displays them on the screen without forcing the user of the arrangement plan support apparatus 100. It is possible to quickly execute the simulation for the arranged arrangement plan.

C computer 13 analysis model creation means 15 analysis means 3 storage means G image display means P pointing device T1 to T3 three-dimensional object T1 'to T3' rectangular cell aggregate R three-dimensional analysis region

Claims (3)

Image display means for displaying a three-dimensional object of the planning object on the screen;
A pointing device for moving the three-dimensional object on the screen;
Analysis model creation means for creating a three-dimensional analysis model for numerical analysis reflecting the position and orientation of the three-dimensional object displayed on the screen;
Using the three-dimensional analysis model, an analysis means for simulating the influence of the planning object on the surrounding environment, and an arrangement planning support apparatus comprising:
The analysis model creating means forms an orthogonal mesh in a three-dimensional analysis region containing the three-dimensional shape object, and uses an aggregate of rectangular parallelepiped cells as the analysis model of the three-dimensional shape object, thereby obtaining the three-dimensional analysis model. An arrangement planning support apparatus characterized by creating. Storage means for storing the orthogonal mesh creation rule and simulation analysis conditions;
The analysis model creation means reads the creation rule from the storage means, creates the three-dimensional analysis model according to the creation rule,
The arrangement planning support apparatus according to claim 1, wherein the analysis unit reads the analysis condition from the storage unit and simulates the influence of the planning object on the surrounding environment according to the analysis condition.   The arrangement planning support apparatus according to claim 1, wherein the analysis unit simulates a fluid flow around the planning object by fluid analysis.

Images