A parallel space-time finite difference solver for periodic solutions of the shallow-water equation

Authors:
Peter Arbenz;Andreas Hiltebrand;Dominik Obrist
Affiliations:
Chair of Computational Science, ETH Zürich, Zürich, Switzerland;Seminar for Applied Mathematics, ETH Zürich, Zürich, Switzerland;Institute of Fluid Dynamics, ETH Zürich, Zürich, Switzerland
Venue:
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
Year:
2011

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Abstract

We investigate parallel algorithms for the solution of the shallow-water equation in a space-time framework. For periodic solutions, the discretized problem can be written as a large cyclic non-linear system of equations. This system of equations is solved with a Newton iteration which uses two levels of preconditioned GMRES solvers. The parallel performance of this algorithm is illustrated on a number of numerical experiments.