Efficient Adaptive Meshing of Parametric Models

[+] Author and Article Information
Alla Sheffer

Computer Science Department, Technion, Haifa, Israel, 32000

Alper Üngör

Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL, 61801

J. Comput. Inf. Sci. Eng 1(4), 366-375 (Oct 01, 2001) (10 pages) doi:10.1115/1.1429640 History: Received August 01, 2001; Revised October 01, 2001
Copyright © 2001 by ASME
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Meshing an “L” shaped model. (a) Original design model. (b) Mesh model (after simplification). (c) Hexahedral mesh.
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Adjusting the mesh of “L” shape in Fig. 1 to different parameter sizes. (a) Design model. (b) Mesh Model (same topology as original mesh model). (c) Reassigned Mesh. (d) Mesh after connectivity adjustment (whisker-sheet splitting, 5.2.2).
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A pump housing model. (a) Design model. (b) Mesh model (after simplification). (c) A tetrahedral mesh of the model.
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Feature size impact on mesh generation. A notch narrower than prescribed element size (a), has little impact on analysis, and hence can be suppressed in the mesh model (b). When the notch width increases above the mesh size (c), it starts to have an impact on analysis results. Hence, the model needs a mesh reflecting it (d).
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Copy of interior face nodes using a background mesh. (a) Mesh of the original face. (b) New, modified face with copied boundary nodes. (c) Background mesh of (a). (d) Background mesh and copied interior node on (b).
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Adjusting the mesh for a simple bracket. The changed parameters include: hole radii, blends radius, and base width. The changes are relatively small, hence mesh copy with smoothing is sufficient to get a good quality mesh. (a) Original model. (b) New model.
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Adaptive re-meshing of a 2D graded mesh using the refinement technique. (a) Original mesh with 169 nodes. (b) The model is stretched by a factor of 2 along X direction. This creates 54 bad elements in the mesh. (c) Final mesh is a result of 75 circumcenter points insertions.
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Surface mesh of a dodecahedron. (a) Original mesh with 290 nodes. (b) The model is stretched by a factor of 2 along X direction (for illustration purposes the top view is chosen). The stretching creates 98 bad simplices. (c) Inserting 43 circumcenter points removes all the bad simplices.
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Maintaining a sphere packing (a) Original mesh generated by a sphere packing. (b) Packing is no longer good as big gaps in the domain are introduced. (c) Packing is modified to be a good packing. (d) Delaunay Triangulation of the points in the packing gives a good quality mesh.
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Refinement algorithm may create over-refined meshes. (a) Original mesh. (b) Refinement based method computes mesh of the same model shrunk in Y direction by a factor of 1/2.
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Adjusting the mesh for a model composed of two sweepable parts. The parameter that changes is the tube height (from 2 to 5). Applying only copy and smoothing will generate highly stretched elements on the pipe. (a) Original model. (b) Mesh after copy. (c) Mesh after re-meshing the pipe part.
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(a) Four whisker sheets (a-d) in a two element hexahedral mesh. (b) Two whisker sheets in a cylinder mesh (highlighted).
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A whisker sheet S with Z pointing in the direction of the sheet axis.
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Whisker sheet removal and split. (a) Initial model. (b) Model after a sheet removal. (c) Model after a sheet split.
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Adapting a hexahedral mesh using the whisker sheet removal operation. (a) Mesh of the original model. (b) Copied mesh of the new model (cylinder radius of 5, replaced by two radii of 7 and 3). (c) Mesh after single sheet removal. (d) Mesh after smoothing. (e) Final mesh after one more sequence of sheet removal and smoothing.
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Volume mesh of part of a booster rocket containing the solid propellant and the star shaped cavity inside it. The fins of the star are about two elements thick. (a) Original mesh with 36726 tetrahedra. (b) Stretching the model along X and Z directions makes about 3% of the tetrahedra bad. (c) Inserting 2170 circumcenters removes all of the bad simplices.
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Meshing a crank-shaft model after parameter modification. (a) Original design model. (b) Mesh model, after suppression of blends and subdivision into 5 sub-volumes. (c) Mesh of the original model. (d) New design model. (e) New mesh model with mesh mapped from (c). (f) Final mesh of the new model. The mesh adjustment included removal of a mesh sheet in the central board and several sheet splits in the right cylindrical tip.




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