Imposing Boundary Conditions to Match a CAD Virtual Geometry for the Mesh Curving Problem
| Autor: | Xevi Roca, Eloi Ruiz-Gironés |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Computer science
Process (computing) Shell (structure) Boundary (topology) Geometry 010103 numerical & computational mathematics Curvature 01 natural sciences 010101 applied mathematics Penalty method Polygon mesh Node (circuits) Boundary value problem 0101 mathematics ComputingMethodologies_COMPUTERGRAPHICS |
| Zdroj: | Lecture Notes in Computational Science and Engineering ISBN: 9783030139919 IMR 27th International Meshing Roundtable Lecture Notes in Computational Science and Engineering Lecture Notes in Computational Science and Engineering-27th International Meshing Roundtable |
| ISSN: | 1439-7358 2197-7100 |
| DOI: | 10.1007/978-3-030-13992-6_19 |
| Popis: | We present a high-order mesh curving method where the mesh boundary is enforced to match a target virtual geometry. Our method has the unique capability to allow curved elements to span and slide on top of several CAD entities during the mesh curving process. The main advantage is that small angles or small patches of the CAD model do not compromise the topology, quality and size of the boundary elements. We associate each high-order boundary node to a unique group of either curves (virtual wires) or surfaces (virtual shell). Then, we deform the volume elements to accommodate the boundary curvature, while the boundary condition is enforced with a penalty method. At each iteration of the penalty method, the boundary condition is updated by projecting the boundary interpolative nodes of the previous iteration on top of the corresponding virtual entities. The method is suitable to curve meshes featuring non-uniform isotropic and highly stretched elements while matching a given virtual geometry. |
| Databáze: | OpenAIRE |
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