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
October 23-26, 2011
Institut fur Geometrie und Praktische Mathematik, RWTH Aachen, 52056 Aachen, Germany,
German Research School for Simulation Sciences, 52425 Julich, Germany
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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