On 3D Anisotropic Local Remeshing for Surface, Volume and Boundary Layers
Loseille, Adrien and Rainald Lohner
Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.611-630, October 25-28 2009
18th International Meshing Roundtable
Salt Lake City, UT, USA.
October 25-28, 2009
CFD Center, Dept. of Computational and Data Sciences, College of Science, MS
6A2, George Mason University, Fairfax, VA 22030-4444, USA
A simple strategy for generating anisotropic meshes is introduced. The
approach belongs to the class of metric-based mesh adaptation procedures where
a field of metric tensors governs the adaptation. This development is motivated
by the need of generating anisotropic meshes for complex geometries and complex
flows. The procedure may be used advantageously for cases where global remeshing
techniques become either unfeasible or unreliable. Each of the local operations used
is checked in a variety of ways by taking into account both the volume and the
surface mesh. This strategy is illustrated with surface mesh adaptation and with
the generation of meshes suited for boundary layers analysis.
Two simple mesh operators are used to recursively modify the mesh: edge collapse
and point insertion on edge. It is shown that using these operators jointly
with a quality function allows to quickly produce an quality anisotropic mesh.
Each adaptation entity, ie surface, volume or boundary layers, relies on a specific
metric tensor field. The metric-based surface estimate is used to control the deviation
to the surface and to adapt the surface mesh. The volume estimate aims
at controlling the interpolation error of a specific field of the flow. The boundary
layers metric-based estimate is deduced from a level-set distance function.
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