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Anisotropic mesh adaptation for 3D flows on structured and unstructured grids. (English) Zbl 1005.76061
From the summary: We present a mesh optimization methodology in three dimensions. An initial mesh is continually adapted during the solution process without the need for global remeshing. The adaptation procedure uses an interpolation error estimate whose magnitude and direction are controlled by Hessian (the matrix of second derivatives of the solution). This metric error is projected over mesh edges, and drives the nodal movement scheme as well as the edge refinement and coarsening strategies. These operations yield highly anisotropic grids in which the mesh movement significantly contributes to the stretching and to the realignment of edges along the unidirectional flow. The results are illustrate by some examples.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
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