JP2007279977A - Mesh density controller, mesh density control method and program - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To perform mesh density control capable of reproducing the shape of a mesh preparation origin for mesh data. <P>SOLUTION: The mesh density controller comprises a mesh data input part 102 for specifying a mesh data file to be an object, a mesh density information specifying part 104 for specifying a part to change a mesh size and the mesh size, a shape parameter estimation part 106 for estimating the shape of the mesh preparation origin from object mesh data, and a mesh density change part 108 for arranging nodes after movement and nodes to be prepared newly on the shape. Thus, the mesh density control capable of reproducing the shape of the mesh preparation origin is made possible. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

  The present invention relates to a CAE (Computer Aided Engineering) system that numerically simulates a physical phenomenon by numerical analysis using a computer, and more particularly to an apparatus that controls the density of a mesh to be analyzed.

  By utilizing CAE in the product development process, development costs are reduced and the design and development period is shortened. In product development, the function and performance of a product are analyzed and confirmed. In CAE, a product is modeled, an analysis mesh is generated, and various simulations are performed on a computer. In this case, setting the mesh size appropriately greatly affects the analysis accuracy, which is very important.

According to Patent Document 1, for analysis, the mesh is automatically changed until the element dimension in the target area reaches a specified value based on the area specified by the user and the target element dimension to be controlled. There is a disclosure about an example of a mesh coarse / fine control device.
JP 11-259684 A

  The conventional mesh size control method has a problem that, when changing the density of the mesh, the moved node and the newly created node may not necessarily be created on the original shape data.

  This is because the mesh data is expressed as a set of polyhedrons / polygons such as hexahedrons, tetrahedrons, rectangles, and triangles. For example, when a circular hole is expressed as a mesh, it becomes a polygon such as a rectangle or hexagon. . In addition, since mesh data does not have shape information, even if the mesh size is made finer for such mesh data, only polygons (polyhedrons) are subdivided. Therefore, it did not approach the original circular shape, and the shape could not be reproduced. On the other hand, even when the mesh size is made coarse, a new node is created on the boundary line of the mesh that has been created, so that the node may not be created on the original shape.

  In order to solve this, it is necessary to create a mesh again from data having shape information, for example, CAD data. However, this method is very laborious because the mesh is created again for the entire shape, including the parts unrelated to the change in density.

  The present invention has been made in view of this point, and an object of the present invention is to enable mesh density control capable of reproducing the shape of mesh data.

  The present invention includes means for specifying a target mesh data file, a part for changing the mesh size and means for specifying the mesh size, a means for estimating the shape from which the mesh was created from the target mesh data, And a means for arranging newly created nodes on this shape.

  Thus, by providing means for estimating the shape when changing the mesh size, the original shape can be reproduced when performing coarse / fine control on the mesh data.

  According to the present invention, it is possible to perform coarse / fine control that can reproduce the shape data from which the mesh data is created only with the mesh data. Therefore, the mesh size can be changed efficiently, and calculations such as simulation and analysis using the changed mesh can be performed with high accuracy.

  Hereinafter, an embodiment of the present invention will be described with reference to the accompanying drawings.

  In this example, the mesh coarse / fine control device is realized by mounting a program for performing processing corresponding to a computer, for example, and using an arithmetic processing function, a storage function, and the like included in the computer. FIG. 1 is a block diagram showing a system configuration example of this example.

  In this example, an input / output device 101 including a keyboard, a pointing device, a display, and the like for a user to input and display data, and a mesh data input unit that specifies mesh data 103 to be subjected to mesh coarse / fine control. 102, a mesh coarse / dense information designating unit 104 that designates a mesh density as a coarse / dense information data 105, and a shape parameter of the coarse / fine control part from the coarse / fine information data 105 for the target mesh data 103. , And the coarse / fine control is performed from the shape parameter estimation unit 106 registered in the shape parameter data 107, the target mesh data 103, the coarse / fine information data 105, and the shape parameter data 107, and the mesh coarse data registered as the coarse / fine change mesh data 109 It consists changing unit 108.

  In this example, the shape parameter estimation unit 106 has four types of estimation means as the shape parameter estimation means. The first estimation means is a means for calculating one shape parameter with the highest probability as the shape parameter of the density control location from the target mesh data 103 and the density information data 105. The second estimation means is means for the user to specify the shape parameter. The third estimation means is means for calculating and presenting a plurality of shape parameter candidates from the target mesh data 103 and the coarse / dense information data 105 and selecting a shape parameter adopted by the user from the candidates. The fourth estimating means is that the user designates the mesh creation source shape data 110 from which the mesh data 103 is created, and the shape parameter of the location that matches the coarse / fine control location of the coarse / fine information data 105 from the designated shape data. Is a means for extracting. In this example, it is configured so that the user can arbitrarily select which one of these shape parameter estimation means is adopted.

  Hereinafter, a processing example according to this example will be described.

  First, a processing example of the mesh data input unit 102 will be described with reference to FIG. FIG. 2 is a screen example for designating target mesh data in the mesh data input unit 102. First, the user uses the input / output device 101 to input a mesh data file name to be subjected to mesh coarse / fine control in the mesh data input field 201 on the operation screen of FIG. Next, when the execute button 202 is pressed, the file having the file name input in the mesh data input field 201 is registered as the target mesh data 103 at that time. When the cancel button 203 is pressed, the input file is canceled from the target mesh data 103. Note that the method for specifying the target mesh data may be a method other than those described above, for example, a method of displaying a list of mesh data file names and selecting from the list. Note that even if mesh data is stored in a storage device connected to the computer that implements this example, it is stored in another computer connected to the network or an external storage device so that the data can be referenced. May be.

  Next, a processing example of the mesh coarse / fine information specifying unit 104 will be described with reference to FIG. FIG. 3 is a screen example for setting mesh density information in the mesh density information specifying unit 104. First, the user uses the input / output device 101 to designate a location for setting coarse / fine in the mesh coarse / fine designated location input field 301 on the operation screen of FIG. FIG. 3 is an example of a screen in the case where coordinates are designated with a portion where the density is set as a rectangular region. For example, when the region 403 is designated as the coarse / fine designation location for the mesh data 401 in FIG. 4, the coordinates of the vertex A on the diagonal are (X1, Y1, Z1), and the coordinates of the vertex B are (X2, Y2). , Z2). Alternatively, a mesh display area may be provided on the screen, and for example, an image of mesh data 401 in FIG. 4 may be displayed and designated using a pointing device or the like so as to surround a range for setting the density. Furthermore, as a method for designating a region, a method for designating a polygonal region, a method for designating a node group or an element group constituting a mesh, and the like may be provided so that the user can select the designating method.

  Next, the mesh density size at the location designated in the mesh size input field 302 is designated. The designation of the density is performed by setting the length of one side of the mesh, for example. Then, when the execution button 303 is pressed, the area input in the mesh coarse / fine designation location input field 301 and the mesh size input in the mesh size input field 302 are registered in the coarse / fine information data 105. If the cancel button 303 is pressed, the designation is canceled.

  Note that when the mesh coarse / fine designation portion is designated by a method such as a rectangular region designation or a polygonal region designation in the above processing, the mesh may be located on the boundary line of the region. In that case, the mesh on the boundary line is included in the coarse / fine designated portion, and the range for controlling the coarse / fine is divided at the boundary of the mesh to perform processing.

  Next, processing of the shape parameter estimation unit 106 will be described. The shape parameter estimation unit 106 estimates the shape parameter of the location where the coarse / fine control is performed from the target mesh data 103 and the coarse / fine information data 105, and registers it as the shape parameter data 107. First, a means for calculating one shape parameter having the highest probability, which is a first shape parameter estimating means, will be described. The shape parameter of the density control location can be calculated by using a fitting method from the element surface on the outer surface of the mesh data to a quadratic curved surface (such as a cylindrical surface or a conical surface) by least square approximation. The first estimating means registers the shape parameter with the highest probability among the shape parameters calculated by this method as the shape parameter. For example, when the area 402 is designated as the coarse / fine control location for the mesh data 401 in FIG. 4, the cylindrical surface is calculated as the shape having the highest probability from the mesh data of the designated area, and the cylindrical surface is calculated as the shape parameter. Register in the data 107. When the region 403 is designated, as a result of the approximate calculation, the region A405 (shaded portion in the enlarged view 404) in the enlarged view 404 is a cylindrical surface, and the region B406 (part other than the region A in the enlarged view 404). Is calculated as a plane, and a combination of these plural surfaces is registered in the shape parameter data 107.

  Next, a description will be given of a second estimation unit that is used by the user to specify a shape parameter. The user uses the input / output device 101 to designate the mesh coarse / fine designation location and mesh size on the operation screen as shown in FIG. Thereafter, an operation screen (not shown) for designating the shape parameter is displayed by the shape parameter estimation unit 106, and the user directly inputs the shape parameter from the operation screen. For example, when the region 502 is designated as the coarse / fine control point for the mesh data 501 in FIG. 5, the user operates the cylindrical surface (radius R, central axis vector A, point P on the axis) as a shape parameter. Specify from the screen. Then, the designated shape parameter is registered in the shape parameter data 107.

  Next, a description will be given of a third estimation means that calculates and presents a plurality of shape parameter candidates and selects a shape parameter adopted by the user from the candidates. In the fitting method by least square approximation described in the first estimating means, a plurality of candidates are calculated as shape parameters of the target region. In this estimation means, on the operation screen as shown in FIG. 3, after the user designates the mesh coarse / fine designation location and the mesh size, a plurality of shape parameter candidates calculated by the shape parameter estimation unit 106 are displayed on the screen. To display. The user selects one shape parameter to be adopted from the displayed plurality of candidates. For example, when the area 502 is designated as a coarse / fine control point for the mesh data 501 in FIG. 5, as shape parameter candidates, (1) four planes (point Q on the surface, normal vector N) Two candidates of recognition, (2) recognition as one cylindrical surface (radius R, central axis vector A, point P on the axis) are calculated and presented. The user selects an intended candidate from these candidates, and registers the selected candidate in the shape parameter data 107.

  Next, as a fourth estimation means, the user designates mesh creation source shape data from which the mesh data is created, and extracts shape parameters of a location that matches the coarse / fine control location from the specified shape data. Means will be described. In this estimation means, an operation for designating mesh creation source shape data by the shape parameter estimation unit 106 after the mesh coarse / fine designation location and mesh size are designated by the user on the operation screen as shown in FIG. A screen (not shown) is displayed. The user designates the shape data that is the generation source of the mesh data from the operation screen. The shape parameter estimation unit 106 extracts shape parameters of shape elements (surfaces, lines, points) at locations that match the density control location from the specified shape data, and registers them as shape parameter data 107. For example, it is assumed that the area 502 is designated as the coarse / fine control point and the shape data 503 is designated as the mesh creation source shape data for the mesh data 501 in FIG. The shape parameter estimation unit 106 extracts shape elements on the shape data 503 existing at positions that coincide with the coordinates of the nodes included in the region 502. In this case, the nodes included in the region 502 are arranged on the surface 504 in the shape data 503. Therefore, the shape parameter of the surface 504, that is, the cylindrical surface (radius R, central axis vector A, point P on the axis) is registered in the shape parameter data 107.

  Next, the processing of the mesh coarse / fine change unit 108 will be described. The mesh coarse / fine changing unit 108 performs coarse / fine control on the target mesh data 103 so that the coarse / fine control location registered in the coarse / fine information data 105 has a designated mesh size. At this time, based on the shape parameter registered in the shape parameter data 107, the moved node and the newly created node are arranged on the shape parameter data, and the result is registered in the mesh data 109 after the coarse / fine change.

  For example, for the mesh data 601 shown in FIG. 6, it is assumed that the density control location is designated as the area 602 and the mesh size as 5 mm as mesh density information. Further, it is assumed that the shape parameter of the region 602 is registered as a cylindrical surface (radius R, central axis vector A, point P on the axis). In this case, when the coarse / fine control is performed, the mesh data 603 in FIG. 6 becomes the mesh data after the coarse / fine change, and the coarse / fine control location forms a mesh having a shape as shown in the region 604. Note that, when the coarse / fine control is performed by the conventional technique, the mesh data 605 in FIG. 6 becomes the mesh data after the coarse / fine change, and the coarse / fine control location changes the mesh size with the shape of the original region 602 as shown in the region 606. The shape of the cylindrical surface cannot be reproduced.

  FIG. 9 is a flowchart showing an example of overall processing when the processing of this example described above is implemented as a program in an electronic computer. The flow of processing will be described based on this flowchart.

  First, mesh data to be subjected to mesh coarse / fine control is designated and registered in the mesh data 103 (step S901). Next, with respect to the designated mesh data, the location where the density is set and the mesh density size are designated and registered as the density information data 105 (step S902). Next, a shape parameter estimation method in the shape parameter estimation process is selected (step S903). There are four types of estimation methods for the shape parameter estimation method, and the user selects which estimation method is used for processing. It is determined which estimation method is the selected estimation method, and distribution is performed according to the selected method (step S904).

  If the selected method is the first estimation method, one shape parameter with the highest probability is calculated as the shape parameter of the mesh coarse / fine designated portion of the target mesh data (step S905). When the selected method is the second estimation method, the user designates the shape parameter of the mesh coarse / fine designated portion of the target mesh data (step S906). If the selected method is the third estimation method, first, a plurality of shape parameter candidates are calculated as the shape parameters of the mesh coarse / fine designated portion of the target mesh data (step S907). Next, one shape parameter adopted by the user is selected from the plurality of calculated candidates (step S908). If the selected method is the fourth estimation method, the user designates the shape data from which the target mesh data is created (step S909). Next, a shape element at a location that matches the coarse / fine control location is extracted from the designated shape data, and used as a shape parameter (step S910).

  Finally, a new mesh is generated so as to have the designated mesh size for the coarse / fine control portion of the target mesh data designated in step S901 (step S911). At that time, as the shape parameter estimation method, the shape parameter estimated by any one of the first to fourth methods is referred to, and the moved node and the newly created node are arranged on the shape parameter.

  As described above, the mesh density control process that reproduces the original shape is performed on the target mesh data.

  Next, an example of mesh data coarse / fine control according to this example will be described with reference to FIGS. FIG. 7 shows an example of mesh density control for a plan view, and FIG. 8 shows an example of mesh density control for a three-dimensional map.

  First, an example of controlling the mesh density of the mesh data 701 shown in FIG. 7 will be described. The user designates a mesh data file of mesh data 701 as target mesh data using the screen of FIG. Next, mesh coarse / fine information is set using the screen of FIG. Here, it is assumed that the area 702 and the mesh size are set to 0.5 mm as the coarse / fine control points. Next, the shape parameter estimation unit 106 estimates the shape parameter of the region 702. Here, it is assumed that the first estimating means is selected and the shape parameter is calculated by a fitting method to a quadratic curve by least square approximation. As a result of the calculation, the shape parameter is calculated as an arc (center coordinates [5, 10], radius [2]) and is registered in the shape parameter data 107. Next, the mesh coarse / fine change unit 108 arranges the moved nodes and newly created nodes on the shape parameter data, and creates the coarse / fine changed mesh data. As a result, the mesh data after the coarse / fine control is close to the shape of an arc as indicated by the mesh data 703.

  On the other hand, mesh data 704 shows the mesh data after the density control when the mesh density is controlled by the conventional method. Conventionally, since the mesh of the region 702, that is, the polygon is simply subdivided, the degree of shape approximation is poor and cannot be used for analysis.

  As described above, in the prior art, even if the mesh is made finer, the polygon is only subdivided, so that it never approaches the arc that is the original shape, and the shape cannot be reproduced. On the other hand, in this example, by roughly calculating the shape parameter and using it, it is possible to control the density of the mesh reproducing the shape. As a result, the shape approximation is good and the analysis accuracy can be improved.

  Next, another example of controlling the mesh density of the mesh data 701 in FIG. 7 will be described. The process up to the point where the user sets the target mesh data and the mesh coarse / dense information is the same as described above. Next, the shape parameter estimation unit 106 estimates the shape parameter of the region 702. Here, it is assumed that the second estimation unit is selected and the user sets a circular arc (center coordinates [5, 10], radius [2]) as a shape parameter. The shape parameter estimation unit 106 registers the set shape parameter in the shape parameter data 107. Next, the mesh coarse / fine change unit 108 arranges the moved nodes and newly created nodes on the shape parameter data, and creates the coarse / fine changed mesh data. As a result, the mesh data after the coarse / fine control has a shape shown in mesh data 703.

  As described above, in this example, it is possible to perform coarse / fine control of the mesh reproducing the original shape by setting the shape parameter by the user.

  Next, an example of controlling the mesh density of the mesh data 801 shown in FIG. 8 will be described. First, the user designates a mesh data file of mesh data 801 as target mesh data using the screen of FIG. Next, mesh coarse / fine information is set using the screen of FIG. Here, it is assumed that the area 802 and the mesh size are set to 0.5 mm as the coarse / fine control points. Next, the shape parameter estimation unit 106 estimates the shape parameter of the region 802. Here, it is assumed that the third estimation means is selected, shape parameters are calculated by a fitting method to a quadratic curve by least square approximation, and a plurality of candidates are presented. As a result of the calculation, as candidate shape parameters, candidate 1 = cylindrical surface (center axis [0,0,1], axis point [5,10,0], radius [2]), candidate 2 = four planes (Plane 1: (Normal vector [0.924, -0.383, 0], On-plane point [3, 10, 0]), Plane 2: (Normal vector [0.383, -0.924, 0], surface point [5, 12, 0]), plane 3: (normal vector [−0.383, −0.924, 0], surface point [5, 12, 0]), plane 4 : (Normal vector [−0.924, −0.383,0], on-plane point [7,10,0])). Next, the user selects a shape parameter candidate to be adopted from these two candidates. Here, it is assumed that the user has selected candidate 1. Thus, the cylindrical surface (center axis [0, 0, 1], point on axis [5, 10, 0], radius [2]) is registered in shape parameter data 107. Next, the mesh coarse / fine change unit 108 arranges the moved nodes and newly created nodes on the shape parameter data, and creates the coarse / fine changed mesh data. As a result, the mesh data after the coarse / fine control has a shape shown in mesh data 803.

  On the other hand, mesh data 804 after mesh density control when mesh density is controlled by a conventional method is shown in mesh data 804. As described above, since the mesh of the region 802, that is, the polygon is simply subdivided, the cylindrical surface which is the original shape is not approached, and the shape approximation degree is poor and cannot be used for analysis. On the other hand, in this example, a plurality of shape parameter candidates are estimated and presented, and a cylindrical surface that is the original shape is reproduced by selecting a shape parameter to be adopted from the candidates and generating a mesh based on the selected shape parameter. The mesh density can be controlled.

  Next, another example of controlling the mesh density of the mesh data 801 in FIG. 8 will be described. The process up to the point where the user sets the target mesh data and the mesh coarse / dense information is the same as described above. Next, the shape parameter estimation unit 106 estimates the shape parameters of the region 802. Here, it is assumed that the fourth estimating means is selected and the user designates shape data 805 shown in FIG. 8 as the shape data from which the mesh data 801 is created. The shape parameter estimation unit 106 compares the coordinates of the nodes included in the region 802 with the shape data 805, and the nodes included in the region 802 are arranged on a surface 806 (shaded portion in the drawing) in the shape data 805. Judge that As a result, the cylindrical surface (center axis [0, 0, 1], point [5, 10, 0], radius [2]) on the surface 806 is registered in the shape parameter data 107. Next, the mesh coarse / fine change unit 108 arranges the moved nodes and newly created nodes on the shape parameter data, and creates the coarse / fine changed mesh data. As a result, the mesh data after the coarse / fine control has a shape shown in mesh data 803.

  As described above, in this example, by estimating the shape data based on the mesh creation source shape data specified by the user, it is possible to control the density of the mesh reproducing the original shape.

It is a block diagram which shows the structural example by one embodiment of this invention. It is explanatory drawing which shows the example of an operation screen of target mesh data specification by one embodiment of this invention. It is explanatory drawing which shows the example of an operation screen of mesh coarse / fine information designation | designated by one embodiment of this invention. It is explanatory drawing which shows the example of mesh data. It is explanatory drawing which shows the other example of mesh data. It is explanatory drawing which shows the example of mesh coarse / dense control by one embodiment of this invention. It is explanatory drawing which shows the mesh coarse / fine control example (1) by one embodiment of this invention. It is explanatory drawing which shows the mesh coarse / fine control example (2) by one embodiment of this invention. It is a flowchart which shows the example of a mesh coarse / dense control process by one embodiment of this invention.

Explanation of symbols

  DESCRIPTION OF SYMBOLS 101 ... Input / output device, 102 ... Mesh data input part, 103 ... Target mesh data, 104 ... Mesh coarse / fine information designation part, 105 ... Fine / fine information data, 106 ... Shape parameter estimation part, 107 ... Shape parameter data, 108 ... Mesh coarse / fine Change unit 109 ... Mesh data after coarse / fine change, 110 ... Mesh creation source shape data, 201 ... Mesh data input field, 202 ... Execution button, 203 ... Cancel button, 301 ... Mesh coarse / fine designation location input field, 302 ... Mesh size input Field 303 ... Execution button 304 ... Cancel button 401 ... Mesh data 402 ... Area, 403 ... Area 404 ... Enlarged view 405 ... Area A, 406 ... Area B, 501 ... Mesh data, 502 ... Area, 503 ... Shape data, 504 Surface, 601 ... Mesh data, 602 ... Area, 603 ... Mesh data, 604 ... Area, 605 ... Mesh data, 606 ... Area, 701 ... Mesh data, 702 ... Area, 703, 704 ... Mesh data after density control, 801 ... Mesh data, 802 ... area, 803, 804 ... mesh data after density control, 805 ... mesh creation source shape data, 806 ... surface

Claims (13)

In the device that controls the density of the generated mesh modeled for analysis,
Input / output means for data input and display;
Mesh data input means for specifying mesh data to be subjected to mesh density control;
Mesh coarse / dense information designation means for designating the location and mesh size for controlling the coarse / fine for the target mesh data;
A shape parameter estimating means for estimating a shape parameter from mesh data of a designated coarse / fine control point;
A mesh density control device comprising mesh density change means for arranging a node after movement and a newly created node on the shape parameter during density control. The mesh coarse / fine control apparatus according to claim 1,
The shape parameter estimating means estimates one shape parameter that approximates the shape from the mesh data of the designated coarse / fine control point,
A mesh density control device that arranges the moved nodes and newly created nodes on the estimated shape parameters in the density control. The mesh coarse / fine control apparatus according to claim 1,
The shape parameter estimation means is a means for the user to specify the shape parameter of the coarse / fine control point,
A mesh density control apparatus that arranges the moved nodes and newly created nodes on shape parameters designated by the user during density control. The mesh coarse / fine control apparatus according to claim 1,
The shape parameter estimation means is a means for estimating a plurality of shape parameter candidates from the mesh data of the specified density control location;
Comprising a means for a user to select a shape parameter to be adopted from the plurality of shape parameter candidates;
A mesh coarse / dense control apparatus that arranges a node after movement and a newly created node on a selected shape parameter during coarse / fine control. The mesh coarse / fine control apparatus according to claim 1,
The shape parameter estimation means includes means for inputting shape data of a mesh creation source,
It comprises means for extracting the shape element of the shape data that matches the mesh of the density control location designated by the mesh density information designation means,
A mesh density control device that arranges the moved nodes and newly created nodes on the shape parameters of the extracted shape elements during the density control. The mesh coarse / fine control apparatus according to claim 1,
The shape parameter estimation means estimates a first estimation means for estimating one shape parameter with the highest probability, a second estimation means for a user to specify a shape parameter, and presents a plurality of shape parameter candidates. , A third estimation means for the user to select a shape parameter to be adopted from a plurality of candidates, and the user specifies the mesh creation source shape data from which the mesh data is created, and the coarse / fine control location is determined from the specified shape data. Comprising a fourth estimation means for extracting the shape parameter of the location that matches
A mesh coarse / fine control device that allows a user to select an arbitrary estimation means. In the process of modeling for analysis and controlling the density of the generated mesh,
A process for specifying mesh data to be subjected to coarse / fine control;
A process for specifying the location and mesh size for controlling the density of the target mesh data; and
A process for estimating shape parameters from mesh data of a specified density control point;
A mesh coarse / fine control method comprising: a mesh coarse / fine change process for arranging a moved node and a newly created node on the shape parameter data to create mesh data after coarse / fine change for a mesh at a coarse / fine control location. The mesh coarse / fine control method according to claim 7,
The shape parameter estimation process is a process of estimating one shape parameter that approximates the shape from the mesh data of the designated coarse / fine control point,
A mesh coarse / fine control method in which nodes after movement and newly created nodes are arranged on estimated shape parameters during coarse / fine control. The mesh coarse / fine control method according to claim 7,
The shape parameter estimation process is a process in which the user designates the shape parameter of the density control point,
A mesh density control method in which nodes after movement and newly created nodes are arranged on shape parameters designated by a user during density control. The mesh coarse / fine control method according to claim 7,
The shape parameter estimation process is a process of estimating a plurality of shape parameter candidates from mesh data of a specified density control location;
The process is configured by a user selecting a shape parameter to be adopted from the plurality of shape parameter candidates,
A mesh density control method in which nodes after movement and newly created nodes are arranged on selected shape parameters during density control. The mesh coarse / fine control method according to claim 7,
The shape parameter estimation process includes a process of inputting shape data of a mesh creation source,
Consists of processing to extract the shape element of the shape data that matches the mesh of the specified density control location,
A mesh coarse / fine control method that arranges nodes after movement and newly created nodes on shape parameters of extracted shape elements during coarse / fine control. The mesh coarse / fine control method according to claim 7,
The shape parameter estimation process includes a first estimation process for estimating one shape parameter with the highest probability, a second estimation process for designating a shape parameter by a user, and a plurality of shape parameter candidates. , A third estimation process in which the user selects a shape parameter to be adopted from a plurality of candidates, and the user specifies the mesh creation source shape data from which the mesh data is created, and the coarse / fine control location is determined from the specified shape data. Comprising a fourth estimation process for extracting the shape parameters of the part that matches
A mesh coarse / fine control method in which a user can select an arbitrary estimation process. In a program that executes processing to control the density of the generated mesh modeled for analysis,
A process for specifying mesh data to be subjected to coarse / fine control;
A process for specifying the location and mesh size for controlling the density of the target mesh data; and
A process for estimating shape parameters from mesh data of a specified density control point;
A mesh coarse / fine control program for executing mesh coarse / fine change processing for arranging mesh data after movement and newly created nodes on the shape parameter data and creating mesh data after coarse / fine change for a mesh at a coarse / fine control location.

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