A multiscale LATIN-FAS algorithm with time-space model reduction for frictional contact problemsReport as inadecuate




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1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures Villeurbanne 2 ANSYS France 3 MSE - Mécanique des Solides et des Endommagements LaMCoS - Laboratoire de Mécanique des Contacts et des Structures Villeurbanne

Abstract : A multiscale strategy using model reduction for frictional contact computation is presented. This new approach aims to improve computation time of finite element simulations involving frictional contact between linear and elastic bodies. This strategy is based on a combination between the LATIN LArge Time INcrement method and the FAS multigrid solver. The LATIN method is an iterative solver operating on the whole time-space domain. Applying an a posteriori analysis on solutions of different frictional contact problems shows a great potential as far as reducibility for frictional contact problems is concerned. Time-space vectors forming the so-called reduced basis depict particular scales of the problem. It becomes easy to make analogies with multigrid method to take full advantage of multiscale information.

Keywords : frictional contact LATIN model reduction proper orthogonal decomposition POD multigrid MG-FAS





Author: Anthony Giacoma - David Dureisseix - Anthony Gravouil - Michel Rochette -

Source: https://hal.archives-ouvertes.fr/



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