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Volume 26, Issue 3
An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation

Bin Wang

J. Comp. Math., 26 (2008), pp. 404-409.

Published online: 2008-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N06, 65L12.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-404, author = {Bin Wang}, title = {An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8634.html} }
TY - JOUR T1 - An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation AU - Bin Wang JO - Journal of Computational Mathematics VL - 3 SP - 404 EP - 409 PY - 2008 DA - 2008/06 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8634.html KW - Explicit finite difference scheme, Multi-conservation, Shallow-water-wave, Physical integral. AB -

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.

Bin Wang. (2008). An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation. Journal of Computational Mathematics. 26 (3). 404-409. doi:
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