Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow

Emmanuel Audusse (1, 2) , Olivier Delestre (3) , Le Minh-Hoang (4) , Mathias Masson-Fauchier (5) , Pierre Navaro (6) , Romain Serra (5)

1 ANGE - Numerical Analysis, Geophysics and Ecology
2 LAGA - Laboratoire Analyse, Géométrie et Applications
3 JAD - Laboratoire Jean Alexandre Dieudonné
4 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
5 EPU Nice -Polytech'Nice-Sophia - Ecole Polytechnice Universitaire de Nice
6 IRMA - Institut de Recherche Mathématique Avancée

In this work we are interested in numerical simulations for bedload erosion processes. We present a relaxation solver that we apply to moving dunes test cases in one and two dimensions. In particular we retrieve the so-called anti-dune process that is well described in the experiments. In order to be able to run 2D test cases with reasonable CPU time, we also describe and apply a parallelization procedure by using domain decomposition based on the classical MPI library.

Mots clés: erosion; relaxation method; Saint-Venant; Exner; bedload; MPI; parallelization; test

Domaines: Analyse numérique [math.NA]

Emmanuel Audusse, Olivier Delestre, Le Minh-Hoang, Mathias Masson-Fauchier, Pierre Navaro, et al.. Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow. ESAIM: Proceedings, 2013, 43, pp.80-94. ⟨10.1051/proc/201343005⟩. ⟨hal-00840200⟩