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Frey, P. J.; Alauzet, F.

Anisotropic mesh adaptation for CFD computations. (English) Zbl 1092.76054

Comput. Methods Appl. Mech. Eng. 194, No. 48-49, 5068-5082 (2005).
Summary: Unstructured mesh adaptation is now widely used in numerical simulations to improve the accuracy of the solutions as well as to capture the behavior of physical phenomena. In this paper, we propose a general purpose error estimate based on the interpolation error that produces an anisotropic metric map used to govern the mesh element creation. Application examples of CFD computations emphasize the efficiency of this approach.

Cited in 75 Documents

MSC:

76M99 Basic methods in fluid mechanics
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs

Keywords:

a posteriori error estimate; interpolation error; metric map

Software:

NSC2KE
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\textit{P. J. Frey} and \textit{F. Alauzet}, Comput. Methods Appl. Mech. Eng. 194, No. 48--49, 5068--5082 (2005; Zbl 1092.76054)
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References:

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