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1 IFPEN - IFP Energies nouvelles 2 LJLL - Laboratoire Jacques-Louis Lions 3 LT - Laboratoire de tectonique

Abstract : We present a strategy for solving time-dependent problems on grids with local refinements in time using different time steps in different regions of space. We discuss and analyze two conservative approximations based on finite volume with piecewise constant projections and domain decomposition techniques. Next we present an iterative method for solving the composite-grid system that reduces to solution of standard problems with standard time stepping on the coarse and fine grids. At every step of the algorithm, conservativity is ensured. Finally, numerical results illustrate the accuracy of the proposed methods.

keyword : local time step finite volume domain decomposition

Author: Isabelle Faille - Frédéric Nataf - Françoise Willien - Sylvie Wolf -

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


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