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Volume Mesh Generation for Numerical Flow Simulations using Catmull-Clark and Surface Approximation Methods

Rom, Michael and Karl-Heinz Brakhage

Research Notes, 20th International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 23-26 2011


20th International Meshing Roundtable
Paris, France
October 23-26, 2011

Institut fur Geometrie und Praktische Mathematik, RWTH Aachen, 52056 Aachen, Germany,
German Research School for Simulation Sciences, 52425 Julich, Germany
Email: {rom,brakhage}

We present a new technique for the semi-automatic generation of volume meshes which can be used for numerical flow simulations. Our aim is to end up with a fine block-structured volume mesh connected to a smooth surface mesh. For this purpose we start with a polyhedron giving a rough approximation of the target surface geometry which can be of arbitrary genus. To this initial polyhedron we apply an alternating iterative process of Catmull-Clark subdivisions and approximations of the target surface. Usually, such a surface is given by a collection of trimmed B-spline surfaces so that the best approximation results can be achieved by projecting the points of the Catmull-Clark limit surface, which converges to uniform bi-cubic B-spline patches, onto it and subsequently recomputing the control mesh. If we construct another polyhedron surrounding the initial polyhedron, both being automatically connected to each other, we can perform three-dimensional Catmull-Clark subdivision to the flow field between the inner and the outer surface.

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