An adaptive mesh procedure controlled by an error estimate for the Navier–Stokes equations is developed. The mesh can be refined but also coarsened by the mean of an agglomeration algorithm. The error estimation is based on an equation for the discretization error with a source term approximated by the use of a higher order discretized operator. The whole procedure is applied to a turbulent flow around a square-cross section cylinder. The efficiency of the method, evaluated in terms of CPU time and number of cells, shows interesting gains compared to single mesh computations.
Une procédure d'adaptation de maillage guidée par un estimateur d'erreur pour les équations de Navier–Stokes est développée. L'outil permet de raffiner le maillage et de le déraffiner par un algorithme d'agglomération de cellules. L'estimateur d'erreur est basée sur la résolution d'une équation pour l'erreur de discrétisation dont le terme source est approché en utilisant un schéma de discrétisation d'ordre élevé. La méthode est appliquée à un écoulement turbulent autour d'un cylindre de section carrée. On quantifie les gains obtenus par l'utilisation de la procédure adaptative en terme de temps et de nombre de points de calcul.
Mots-clés : Mécanique des fluides numérique, Volumes finis, Maillage adaptatif, Estimation d'erreur, Ecoulement turbulent
Alexander Hay 1; Michel Visonneau 1
@article{CRMECA_2005__333_1_103_0,
author = {Alexander Hay and Michel Visonneau},
title = {Adaptive mesh strategy applied to turbulent flows},
journal = {Comptes Rendus. M\'ecanique},
pages = {103--110},
publisher = {Elsevier},
volume = {333},
number = {1},
year = {2005},
doi = {10.1016/j.crme.2004.09.014},
language = {en},
}
Alexander Hay; Michel Visonneau. Adaptive mesh strategy applied to turbulent flows. Comptes Rendus. Mécanique, High-order methods for the numerical simulation of vortical and turbulent flows , Volume 333 (2005) no. 1, pp. 103-110. doi : 10.1016/j.crme.2004.09.014. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.09.014/
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