Summary: Anisotropic mesh adaptation for CFD computations
P.J. Frey a,*, F. Alauzet b
Laboratoire Jacques Louis Lions, Universite´ Pierre et Marie Curie (Paris VI), 175 rue de Chevaleret, F-75252 Paris Cedex 05, France
INRIA, Projet Gamma, Domaine de Voluceau, Rocquencourt, BP 105, F-78153 Le Chesnay Cedex, France
Received 8 December 2003; received in revised form 24 June 2004; accepted 26 November 2004
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 are given to emphasize the efficiency of this approach.
Ó 2005 Elsevier B.V. All rights reserved.
Keywords: Anisotropic mesh generation; CFD; Metric; A posteriori estimate
Nowadays, in the context of numerical simulations based on finite elements (or finite volumes) methods,
unstructured mesh adaptation has largely proved its efficiency for improving the accuracy of the numerical
solution as well as for capturing the behavior of physical phenomena. In principle, this technique allows (i)
to substantially reduce the number of degrees of freedom, thus impacting favorably the cpu time and (ii) to
compute the numerical solution within a desired accuracy. Both these considerations combined with the