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Parallel Conservative Scheme for Solving the Shallow-Water Equations

B. NetaDepartment of Mathematics, Naval Postgraduate School, Monterey, California

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L. LustmanDepartment of Mathematics, Naval Postgraduate School, Monterey, California

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Abstract

To improve the simulation of nonlinear aspects of the flow over steep topography, a potential enstrophy-and energy-conserving finite-difference scheme for the shallow-water equations was derived by Arakawa and Lamb.

Here a parallel algorithm is developed for the solution of these equations, which is based on Arakawa and Lamb's scheme. It is shown that the efficiency of the scheme on an eight-node INTEL iPSC/2 hypercube is 81%. Forty mesh points in the x direction and 19 in the y direction were used in each subdomain.

Abstract

To improve the simulation of nonlinear aspects of the flow over steep topography, a potential enstrophy-and energy-conserving finite-difference scheme for the shallow-water equations was derived by Arakawa and Lamb.

Here a parallel algorithm is developed for the solution of these equations, which is based on Arakawa and Lamb's scheme. It is shown that the efficiency of the scheme on an eight-node INTEL iPSC/2 hypercube is 81%. Forty mesh points in the x direction and 19 in the y direction were used in each subdomain.

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