Automatic directional refinement in adaptive analysis of compressible flows. (English) Zbl 0810.76045

Zienkiewicz, O. C.; Wu, J.

Int. J. Numer. Methods Eng. 37, No. 13, 2189-2210 (1994).

In such local phenomena as shocks and boundary layers, etc., the discretization errors are directional and the use of elongated elements is obvious if economy is to be achieved. We present a procedure which achieves the combination of such locally structured meshes with a general unstructured mesh generator in an automatic and fully adaptive manner. The procedure is illustrated in the context of compressible, viscous and inviscid, flows but has obvious applications in other (solid mechanics) problems involving localization.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
65M50	Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs

Keywords:

elongated elements; locally structured meshes; general unstructured mesh generator

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