Moving mesh system and method for finite element/finite volume simulations
US-9477798-B1 · Oct 25, 2016 · US
US9902114B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9902114-B2 |
| Application number | US-201514591320-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jan 7, 2015 |
| Priority date | Jan 9, 2014 |
| Publication date | Feb 27, 2018 |
| Grant date | Feb 27, 2018 |
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Methods for creating three dimensional lattice structures in computer-aided design models. A method includes receiving a solid model containing a plurality of boundary surfaces for a void region, computing a bounding box of the solid model and a plurality of grid points on an axis-aligned grid within the bounding box, creating a lattice cell layout for a lattice structure within the void region, computing an implicit model defined by a scalar value for each of the grid points on the axis-aligned grid, extracting the lattice structure in the solid model based on the implicit model.
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What is claimed is: 1. A method for creating three dimensional lattice structures in computer-aided design models and comprising: receiving a solid model containing a plurality of boundary surfaces for a void region; computing a bounding box of the solid model and a plurality of grid points on an axis-aligned grid within the bounding box; creating a lattice cell layout for a lattice structure within the void region; computing an implicit model defined by a scalar value for each of the grid points on the axis-aligned grid, wherein the scalar value for each grid point is determined by: calculating a surface distance based on a minimum distance for the grid point to the plurality of boundary surfaces; calculating a lattice distance based on the minimum distance for the grid point to the lattice structure; and setting the scalar value based on a lesser of the surface distance and the lattice distance; extracting the lattice structure in the solid model based on the implicit model; and manufacturing the extracted lattice structure. 2. The method of claim 1 , wherein calculating the surface distance comprises subtracting a surface thickness from the minimum distance for the grid point to the plurality of boundary surfaces when hollowing is required. 3. The method of claim 1 , wherein the surface distance is based on the minimum distance for the grid point to a hollowed surface when a variable thickness is applied to the solid model. 4. The method of claim 1 , wherein calculating the lattice distance comprises subtracting a lattice thickness from the minimum distance for the grid point to the lattice cell layout. 5. The method of claim 1 , wherein the lattice structure comprises a lattice cell template applied at each lattice cell in the lattice cell layout. 6. The method of claim 5 , wherein calculating the lattice distance comprises subtracting a lattice thickness from the minimum distance for the grid point to the lattice cell template. 7. The method of claim 6 , wherein lattice distance is compared to the minimum distance for the grid point to a lattice cell template of neighboring lattice cells when the grid point lies on an edge or vertex of the lattice cell. 8. A data processing system comprising: a processor; and an accessible memory, the data processing system particularly configured to: receive a solid model containing a plurality of boundary surfaces for a void region; compute a bounding box of the solid model and a plurality of grid points on an axis-aligned grid within the bounding box; create a lattice cell layout for a lattice structure within the void region; compute an implicit model defined by a scalar value for each of the grid points on the axis-aligned grid, wherein the scalar value for each grid point is determined by: calculating a surface distance based on a minimum distance for the grid point to the plurality of boundary surfaces; calculating a lattice distance based on the minimum distance for the grid point to the lattice structure; and setting the scalar value based on a lesser of the surface distance and the lattice distance; extract the lattice structure in the solid model based on the implicit model; and manufacture the extracted lattice structure. 9. The data processing system of claim 8 , wherein calculating the surface distance comprises subtracting a surface thickness from the minimum distance for the grid point to the plurality of boundary surfaces when hollowing is required. 10. The data processing system of claim 8 , wherein the surface distance is based on the minimum distance for the grid point to a hollowed surface when a variable thickness is applied to the solid model. 11. The data processing system of claim 8 , wherein calculating the lattice distance comprises subtracting a lattice thickness from the minimum distance for the grid point to the lattice cell layout. 12. The data processing system of claim 8 , wherein the lattice structure comprises a lattice cell template applied at each lattice cell in the lattice cell layout. 13. The data processing system of claim 12 , wherein calculating the lattice distance comprises subtracting a lattice thickness from the minimum distance for the grid point to the lattice cell template. 14. The data processing system of claim 13 , wherein lattice distance is compared to the minimum distance for the grid point to a lattice cell template of neighboring lattice cells when the grid point lies on an edge or vertex of the lattice cell. 15. A non-transitory computer-readable medium encoded with executable instructions that, when executed, cause one or more data processing systems to: receive a solid model containing a plurality of boundary surfaces for a void region; compute a bounding box of the solid model and a plurality of grid points on an axis-aligned grid within the bounding box; create a lattice cell layout for a lattice structure within the void region; compute an implicit model defined by a scalar value for each of the grid points on the axis-aligned grid, wherein the scalar value for each grid point is determined by: calculating a surface distance based on a minimum distance for the grid point to the plurality of boundary surfaces; calculating a lattice distance based on the minimum distance for the grid point to the lattice structure; and setting the scalar value based on a lesser of the surface distance and the lattice distance; extract the lattice structure in the solid model based on the implicit model; and manufacture the extracted lattice structure. 16. The non-transitory computer-readable medium of claim 15 , wherein calculating the surface distance comprises subtracting a surface thickness from the minimum distance for the grid point to the plurality of boundary surfaces when hollowing is required. 17. The non-transitory computer-readable medium of claim 15 , wherein the surface distance is based on the minimum distance for the grid point to a hollowed surface when a variable thickness is applied to the solid model. 18. The non-transitory computer-readable medium of claim 15 , wherein calculating the lattice distance comprises subtracting a lattice thickness from the minimum distance for the grid point to the lattice cell layout. 19. The non-transitory computer-readable medium of claim 15 , wherein the lattice structure comprises a lattice cell template applied at each lattice cell in the lattice cell layout. 20. The non-transitory computer-readable medium of claim 19 , wherein calculating the lattice distance comprises subtracting a lattice thickness from the minimum distance for the grid point to the lattice cell template.
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