Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes. (English) Zbl 0917.68214

Summary: The present paper deals with an anisotropic mesh adaptation (AMA) of triangulation which can be employed for the numerical solution various problems of physics. AMA tries to construct an optimal triangulation of the domain of computation in the sense that an “error” of the solution of the problem considered is uniformly distributed over the whole triangulation. First, we describe the main idea of AMA. We define an optimal triangle and an optimal triangulation. Then we describe the process of optimization of the triangulation and the complete multilevel computational process. We apply AMA to a problem of CFD, naimely to inviscid compressible flow. The computational results for a channel flow are presented.


68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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