WIT Press


Solving The 2d Shallow Water Equations By Explicit And ADI Methods On A Distributed Memory Parallel Computer

Price

Free (open access)

Paper DOI

10.2495/ASE930171

Volume

3

Pages

14

Published

1993

Size

1,245 kb

Author(s)

Z.W. Song, C.S. Yu, D. Roose & J. Berlamont

Abstract

Solving the 2d shallow water equations by explicit and ADI methods on a distributed memory parallel computer Z.W. Song, C.S. Yu, D. Roose, J. Berlamont Laboratory of Hydraulics and Department of Computer Science, Katholieke Universiteit te Leuven, de Croylaan 2, B-3001 Heverlee, Belgium ABSTRACT In this paper we compare parallel implementations of an explicit method and an alternating direction implicit (ADI) method for solving the two- dimensional shallow water equations. The implementation of an explicit solver on parallel computers is straightforward, the key issue is the achievement of a good load-balance. The difficulty of implementing an ADI method on a parallel computer lies in the solution of the resulting tridiagonal systems in both X and Y directions. In real world applications, the domain is irregular and the boundary conditions are complex. This poses additional difficulties. We compare the performance of different solvers of the 2D shallow

Keywords