Merging Finite-Difference Schemes Having Dissimilar Time-Differencing Operators

Philip S. Brown Jr. The Center for the Environment and Man, Inc., Hartford, Conn. 06120

Search for other papers by Philip S. Brown Jr. in
Current site
Google Scholar
PubMed
Close
and
Joseph P. Pandolfo The Center for the Environment and Man, Inc., Hartford, Conn. 06120

Search for other papers by Joseph P. Pandolfo in
Current site
Google Scholar
PubMed
Close
Full access

Abstract

A procedure is given here that allows two finite-difference schemes having dissimilar time-differencing operators (say, a horizontal advection-diffusion scheme and a vertical diffusion scheme) to be merged into a single equation at the cost of increasing storage requirements through the introduction of an additional time level. lie accuracy and stability of the combined scheme are investigated.

Abstract

A procedure is given here that allows two finite-difference schemes having dissimilar time-differencing operators (say, a horizontal advection-diffusion scheme and a vertical diffusion scheme) to be merged into a single equation at the cost of increasing storage requirements through the introduction of an additional time level. lie accuracy and stability of the combined scheme are investigated.

Save