Local Time Stepping for Implicit-Explicit Methods on Time Varying Grids

F. Coquel (), Q. -L. Nguyen (), M. Postel () and Q. -H. Tran ()
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F. Coquel: CNRS, UMR 7598, Laboratoire Jacques-Louis Lions
Q. -L. Nguyen: Institut Français du Pétrole, Département Mathématiques Appliquées
M. Postel: UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions
Q. -H. Tran: Institut Français du Pétrole, Département Mathématiques Appliquées

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 257-264 from Springer

Abstract: Abstract In the context of nonlinear conservation laws a model for multiphase flows where slow kinematic waves co-exist with fast acoustic waves is discretized with an implicit-explicit time scheme. Space adaptivity of the grid is implemented using multiresolution techniques and local time stepping further enhances the computing time performances. A parametric study is presented to illustrate the robustness of the method.

Date: 2008
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DOI: 10.1007/978-3-540-69777-0_30

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