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 - <p style="text-align: justify;">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.</p>