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

by P. Arbenz and A. Hiltebrand and D. Obrist

(Report number 2011-72)

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.

Keywords:

@Techreport{AHO11_151,
  author = {P. Arbenz and A. Hiltebrand and D. Obrist},
  title = {A parallel space-time finite difference solver for periodic solutions of the shallow-water equation},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-72},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-72.pdf },
  year = {2011}
}

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