CN116663336B - Electromagnetic modeling method based on cylindrical side surface conformal grid generation - Google Patents
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Abstract
The application relates to the field of electromagnetic modeling, and particularly discloses an electromagnetic modeling method based on cylindrical side surface conformal grid generation, which comprises the following steps: s1, establishing a rectangular model to be conformal to the side surface of a cylinder, and performing triangle mesh dissection; s2, establishing a mapping relation between the surface elements and the materials in the rectangular model; s3, reading the grid file to obtain a rectangular point coordinate listAnd triangle bin listThe method comprises the steps of carrying out a first treatment on the surface of the S4, converting the triangular surface element and the point coordinates on the rectangular model into cylindrical side surfaces; s5, converting each triangular surface element of the rectangular model to finish generation of a cylindrical side surface conformal grid; s6, according to the new point coordinate listNew triangle bin listAnd a new triangle bin listAnd constructing an electromagnetic model by using the materials corresponding to each triangular surface element. According to the application, the grid of the rectangular model is converted to the cylindrical side surface, so that conformal grid generation of the cylindrical side surface is completed, and electromagnetic modeling of the cylindrical side surface is realized.
Description
Technical Field
The application relates to electromagnetic modeling auxiliary means, in particular to a means for assisting electromagnetic modeling by generating a conformal grid of a cylindrical side surface.
Background
In the fields of computer graphics, computer aided design, computer aided engineering, etc., mesh generation of cylindrical side surfaces is an important issue. Conventional mesh generation methods for cylindrical side surfaces generally employ parameterization methods or mesh division directly on the cylindrical side surfaces, but these methods have some problems in handling complex geometries, such as mesh deformation, mesh density non-uniformity, and the like. Therefore, there is a need for a more efficient and accurate method of generating a cylindrical side surface mesh.
Conformal mesh generation techniques for cylindrical side surfaces can be used for the design and fabrication of mechanical parts. By generating an accurate grid model, simulation analysis and optimization design can be better performed. In electromagnetic modeling, the cylindrical side surface conformal grid generation technology can realize the generation of cylindrical grids with complex surfaces and multiple materials;
while the mesh generated based on this technique is technically updated and optimized, there are problems in any particular application, such as the conformal mesh generation method of cylindrical side surfaces may present challenges when processing cylindrical side surfaces of complex shape. For example, when there are multiple branches and curved surfaces on the side surface of the cylinder, the difficulty of generating the mesh increases, and direct modeling is difficult.
Disclosure of Invention
The application aims to overcome the defects of the prior art, and provides an electromagnetic modeling method based on cylindrical side surface conformal grid generation.
The aim of the application is realized by the following technical scheme: an electromagnetic modeling method based on cylindrical side surface conformal grid generation comprises the following steps:
s1, establishing a rectangular model to be conformal to the side surface of a cylinder, completing triangular mesh subdivision of the model, and deriving a mesh file for generating subdivision;
the grid file includes a list of point coordinates of a rectangular modelAnd triangle bin list->；
The point coordinate listThe number of midpoints is +.>And Point coordinate List->Each point has a sequence number, wherein the ith point coordinate is expressed as: />，
Triangle bin listThe number of the medium triangle surface elements is +.>The point number of the j-th triangle bin is expressed as: />；
S2, establishing a mapping relation between each surface element and the material in the rectangular model;
s3, reading the grid file to obtain a point coordinate listAnd triangle bin list->；
S4, selecting three vertexes from four vertexes of the rectangular model, wherein the coordinates of the selected three vertexes are P1, P2 and P3; p1 and P2 form the side of the cylinder, P2 and P3 form the bottom circumference of the cylinder, P1 and P2 are taken as axes to form the cylinder, and the triangle surface element and the point coordinates on the rectangular model are converted to the side surface of the cylinder to obtain a new point coordinate listAnd a new triangle bin list ++>And a new triangle bin list +.>Material numbers corresponding to each triangular surface element to finish the generation of the conformal grid on the side surface of the cylinder;
s5, according to the new point coordinate listNew triangle surface element list->And a new triangle bin list +.>And constructing an electromagnetic model of the side surface of the cylinder by using the materials corresponding to each triangular surface element.
The beneficial effects of the application are as follows: the application can complete the generation of the conformal grid of the cylindrical side surface by constructing the rectangular model, corresponding the surface elements of the rectangular model to the materials, and then converting the rectangular model to the cylindrical side surface, and complete the electromagnetic modeling based on the material numbers corresponding to the surface elements.
Drawings
FIG. 1 is a flow chart of the method of the present application;
FIG. 2 is a schematic diagram of the locations of points within the matrix and the locations of points on the sides of the computation cylinder model;
fig. 3 is a schematic diagram of the point location after the completion of the conformal process in the embodiment.
Detailed Description
The technical solution of the present application will be described in further detail with reference to the accompanying drawings, but the scope of the present application is not limited to the following description.
As shown in fig. 1, an electromagnetic modeling method based on cylindrical side surface conformal grid generation includes the following steps:
s1, establishing a rectangular model to be conformal to the side surface of a cylinder, completing triangular mesh subdivision of the model, and deriving a mesh file for generating subdivision;
the grid file includes a list of point coordinates of a rectangular modelAnd triangle bin list->；
The point coordinate listThe number of midpoints is +.>And Point coordinate List->Each point has a sequence number, wherein the ith point coordinate (the point coordinate of the point with the sequence number i) is expressed as follows:，
triangle bin listThe number of the medium triangle surface elements is +.>The point number of the j-th triangle bin is expressed as: />；
In the embodiment of the application, the coordinates involved in the rectangular model are all the coordinates in the space rectangular coordinate system XYZ.
S2, establishing a mapping relation between each surface element and the material in the rectangular model;
s201, setting materials for different surface elements of a rectangular model, wherein a material list is { icoat }, and each material in the list is provided with a number;
s202, list triangle surface elementsOne-to-one correspondence with the material list { icoat }, i.e. each triangle element has a corresponding number in the material list, the material number of the j-th triangle element is expressed asThe material numbers are integers.
S3, reading the grid file to obtain a point coordinate listAnd triangle bin list->；
S4, selecting three vertexes from four vertexes of the rectangular model, wherein the selected three vertexes have coordinates of P1, P2 and P3; p1 and P2 form the side of the cylinder, P2 and P3 form the circumference of the bottom side of the cylinder, P1 and P2 are taken as axes to form the cylinder, and the triangle surface element and the point coordinate on the rectangular model are converted to the side surface of the cylinder to obtain a new modelPoint coordinate listAnd a new triangle bin list ++>And a new triangle bin list +.>Material numbers corresponding to each triangular surface element to finish the generation of the conformal grid on the side surface of the cylinder;
in the step S4, setting a parameter C to control the proportion degree of the rectangular model covering the cylinder, wherein 0< C is less than or equal to 1,0 represents no covering at all, and 1 represents covering only the surface area of the side of the cylinder;
the broadside of the rectangle is mapped to the boundary line of the cylinder after conformal by utilizing a conformal method;
any point on the rectangleObtaining point +.>Initializing a new triangle bin list +.>The number of units is->And the material number icoat of each cell is set to-1; initializing a new point coordinate list +.>Is->A two-dimensional array of (a) is provided; the first three columns store a new list of point coordinatesXYZ coordinate floating point data of (2) in the fourth column for determining pointsWhether the calculation has been completed, 0 indicates no assignment, and 1 indicates an assigned value.
In S4, a new triangle face element list is acquiredAnd a new triangle bin list +.>The specific generation steps of the material numbers corresponding to each triangle surface element are as follows:
s401, as shown in fig. 2-3, selecting three vertexes from four vertexes of a rectangular model, and calculating the side length of the rectangle by using the coordinates of the selected three vertexes as P1, P2 and P3Rectangular width->Diameter of cylinder bottom side->And coordinate system XYZ three coordinate axis direction vector +.>：
；
S402, traversing a triangle face element listObtaining three vertex numbers of the jth triangle surface elementThe triangle surface element has the material number of；
S403, obtaining a new triangle face element listIs the j-th triangle bin->Assigning the three vertex numbers as +.>I.e.
，/>，For->Is assigned with the material number:；
s404, slave point coordinate listTriangle face element is obtained>Respectively marked as three vertex coordinates of，/>And->The method comprises the following steps:
s405. Calculate，/>And->Mapping points of +.>，/>And->：
Is provided withIs->，/>Or->，/>Perimeter mapped to cylinder for rectangular long side, +.>For the angle contained by the circumference length after mapping, D is the cylinder diameter, +.>，/>，/>Point +.>The x-coordinate of (2) is>Mapping of the directions the direction of the light is to be changed,，/>，/>point +.>The y coordinate of (2) is>Mapping of directions>，/>，/>Point +.>Is in +.>Mapping of directions; />，/>，/>Is the center of a cylinder +.>X, y, z coordinates, +.>Is a cylinder radius
Wherein whenGet->The resulting coordinates ∈ ->For mapping points->Coordinates of>Get->The resulting coordinates ∈ ->For mapping points->Coordinates of (c); when->Get->The resulting coordinatesFor mapping points->Coordinates of (c);
s406, updateThe coordinates of the three vertices are mapping points:
；
s407 updateThe material number of (B) is->，
；
S408, where j=1, 2, …,and repeating the steps S402-S407 to obtain a new triangle face element listAnd the material number of each triangle bin in the list.
Converting the point coordinates to the cylindrical side surface in the S4 to obtain a new point coordinate listThe process of (1) comprises:
for point coordinate listAny one of->Calculating the mapping point on the side of the cylindrical model +.>：
Is provided withThe center coordinates are:
perimeter mapped to cylinder for rectangular long side, +.>For the angle contained by the circumference length after mapping, D is the cylinder diameter, +.>Is a cylindrical radius;
namely:
；
list the coordinates of the pointsAfter mapping each point of (a) is obtained +.>Mapping coordinates of points on the cylindrical side surface to form a new point coordinate list +.>。
S5, according to the new point coordinate listNew triangle surface element list->And a new triangle bin list +.>And constructing an electromagnetic model of the side surface of the cylinder by using the materials corresponding to each triangular surface element.
In the application, the rectangular model is firstly constructed, then divided and then conformal to the cylindrical side surface, the cylindrical side surface can be divided into a plurality of small grid areas so as to generate a more accurate grid model, the construction of the electromagnetic model is completed based on the material number of each grid area (surface element), and in the process of converting and generating the cylindrical side surface conformal grid, the input data is processed and mapped so as to ensure the quality and accuracy of the data, thereby generating a more accurate grid model; and the generation of the conformal grid on the side surface of the cylinder can be performed in parallel, and a plurality of grid areas can be processed simultaneously, so that the generation efficiency and speed are improved.
The foregoing is a preferred embodiment of the application, and it is to be understood that the application is not limited to the form disclosed herein, but is not to be construed as limited to other embodiments, but is capable of other combinations, modifications and environments and is capable of changes or modifications within the scope of the inventive concept, either as a result of the foregoing teachings or as a result of the knowledge or knowledge of the relevant art. And that modifications and variations which do not depart from the spirit and scope of the application are intended to be within the scope of the appended claims.
Claims (4)
1. An electromagnetic modeling method based on cylindrical side surface conformal grid generation is characterized by comprising the following steps of: the method comprises the following steps:
s1, establishing a rectangular model to be conformal to the side surface of a cylinder, completing triangular mesh subdivision of the model, and deriving mesh files generated by subdivision;
the grid file includes a list of point coordinates of a rectangular modelAnd triangle bin list->；
The point coordinate listThe number of midpoints is +.>And Point coordinate List->Each point has a sequence number, wherein the ith point coordinate is expressed as: />，
Triangle bin listTriangle surface element number is->The point number of the j-th triangle bin is expressed as:；
s2, establishing a mapping relation between each surface element and the material in the rectangular model;
s3, reading the grid file to obtain a point coordinate listAnd triangle bin list->；
S4, selecting three vertexes from four vertexes of the rectangular modelThe coordinates of the selected three vertexes are P1, P2 and P3; p1 and P2 form the side of the cylinder, P2 and P3 form the bottom circumference of the cylinder, P1 and P2 are taken as axes to form the cylinder, and the triangle surface element and the point coordinates on the rectangular model are converted to the side surface of the cylinder to obtain a new point coordinate listAnd a new triangle bin list ++>And a new triangle bin list +.>Material numbers corresponding to each triangular surface element to finish the generation of the conformal grid on the side surface of the cylinder;
in S4, a new triangle face element list is acquiredAnd a new triangle bin list +.>The specific generation steps of the material numbers corresponding to each triangle surface element are as follows:
s401, selecting three vertexes from four vertexes of a rectangular model, and calculating the side length of the rectangle by using the coordinates of the selected three vertexes as P1, P2 and P3Rectangular width->Diameter of cylindrical bottom edge->Three coordinate axis direction vectors of coordinate system +.>：
Wherein, the parameter C is used for controlling the proportion degree of the rectangular model covering the cylinder, wherein 0< C is less than or equal to 1,0 represents no covering at all, and 1 represents covering only the surface area of the side of the cylinder;
s402, traversing a triangle face element listObtaining three vertex numbers of the jth triangle surface elementThe triangle is provided with material number +.>；
S403, obtaining a new triangle face element listIs the j-th triangle bin->Assigning the three vertex numbers as +.>I.e.
,For->Is assigned with the material number:；
s404, slave point coordinate listTriangle face element is obtained>Respectively marked as three vertex coordinates ofThe method comprises the following steps:
；
s405. CalculateMapping points of +.>：
Is provided withIs->，/>Perimeter mapped to cylinder for rectangular long side, +.>For the angle contained by the circumference length after mapping, D is the cylinder diameter, +.>，/>Point +.>The x-coordinate of (2) is>Mapping of directions>，Point +.>The y coordinate of (2) is>Mapping of directions>，/>Point +.>Is at the z-axis coordinate of (2)Mapping of directions; />，/>，/>Is the center of a cylinder +.>X, y, z coordinates, +.>Is a cylinder radius
Wherein whenGet->The resulting coordinates (+)>，/>，/>) For mapping points->Coordinates of>Get->The resulting coordinates (+)>，/>，/>) For mapping points->Coordinates of (c); when->Get->The resulting coordinates (+)>，/>，/>) For mapping pointsCoordinates of (c);
s406, updateThe coordinates of the three vertices are mapping points:
；
s407 updateThe material number of (B) is->，
；
Representing triangle bin list ++>Material number of the j-th triangle bin;
s408, where j=1, 2, …,in the process, steps S402-S407 are repeated to obtain a new triangle face list +.>And the material number of each triangle bin in the list;
s5, according to the new point coordinate listNew triangle surface element list->And a new triangle bin list +.>And constructing an electromagnetic model of the side surface of the cylinder by using the materials corresponding to each triangular surface element.
2. An electromagnetic modeling method based on cylindrical side surface conformal mesh generation according to claim 1, wherein: the step S2 comprises the following steps:
s201, setting materials for different surface elements of a rectangular model, wherein a material list is { icoat }, and each material in the list is provided with a number;
s202, list triangle surface elementsOne-to-one correspondence with the material list { icoat }, i.e. each triangle unit has a corresponding number in the material list, the material number of the j-th triangle unit is denoted +.>The material numbers are integers.
3. An electromagnetic modeling method based on cylindrical side surface conformal mesh generation according to claim 1, wherein: in the step S4, setting a parameter C to control the proportion degree of the rectangular model covering the cylinder, wherein 0< C is less than or equal to 1,0 represents no covering at all, and 1 represents covering only the surface area of the side of the cylinder;
the broadside of the rectangle is mapped to the boundary line of the cylinder after conformal by utilizing a conformal method;
any point on the rectangleObtaining a cylindrical side through conformal mapping of the cylindrical side surfacePoints on the sides->Initializing a new triangle bin list +.>The number of units is->And the material number icoat of each cell is set to-1; initializing a new point coordinate list +.>Is->A two-dimensional array of (a) is provided; the first three columns store a new list of point coordinates +.>The fourth column is used to determine whether the point has completed calculation, 0 indicates unassigned, and 1 indicates assigned.
4. An electromagnetic modeling method based on cylindrical side surface conformal mesh generation according to claim 3, wherein: converting the point coordinates to the cylindrical side surface in the S4 to obtain a new point coordinate listThe process of (1) comprises:
for point coordinate listAny one of->Calculating mapping points on sides of cylindrical models：
Is provided withThe center coordinates are:
perimeter mapped to cylinder for rectangular long side, +.>For the angle encompassed by the circumference length after mapping, D is the cylinder diameter,is a cylindrical radius;
namely:
；
list the coordinates of the pointsAfter mapping each point of (a) is obtained +.>Mapping coordinates of points on the cylindrical side surface to form a new point coordinate list +.>。
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