Modified time splitting scheme for shallow water equations

Andrei Bourchtein and Ludmila Bourchtein

Mathematics and Computers in Simulation (MATCOM), 2006, vol. 73, issue 1, 52-64

Abstract: An alternating direction implicit scheme for the shallow water equations is considered. The truncation error related to application of splitting technique is separated and analyzed. An approach to reducing the splitting errors is considered and corresponding modified time splitting scheme is presented. An analysis of the linear stability shows that both schemes allow the same maximum time step, which is great enough for atmospheric modeling. Numerical experiments confirm extended stability of both schemes and evaluate their splitting errors as functions of time step. The results of integrations with increased time steps show a clear advantage of the modified version over the traditional scheme.

Keywords: Shallow water equations; Time splitting schemes; Truncation error (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475406001704
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:73:y:2006:i:1:p:52-64

DOI: 10.1016/j.matcom.2006.06.005

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().