An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation

An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 404–409

Abstract

An explicit multi-conservation finite-difference scheme for solving the spherical shallow-water-wave equation set of barotropic atmosphere has been proposed. The numerical scheme is based on a special semi-discrete form of the equations that conserves four basic physical integrals including the total energy, total mass, total potential vorticity and total enstrophy. Numerical tests show that the new scheme performs closely like but is much more time-saving than the implicit multi-conservation scheme.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8634

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 404–409

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Explicit finite difference scheme Multi-conservation Shallow-water-wave Physical integral.