A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations

K. Adamy, A. Bousquet, S. Faure, J. Laminie, R. Temam

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this article we propose and implement a multilevel method to simulate the solution of the two-dimensional nonlinear shallow-water equations. The multilevel method is based on a central-upwind finite volume scheme and uses new incremental unknowns which enable to preserve the numerical conservation of the scheme. The method is tested and analyzed on two and three levels of discretization on different test cases and turns out to furnish a good solution of the problems while saving CPU time.

Original languageEnglish (US)
Pages (from-to)235-256
Number of pages22
JournalOcean Modelling
Volume33
Issue number3-4
DOIs
StatePublished - Mar 26 2010

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Oceanography
  • Geotechnical Engineering and Engineering Geology
  • Atmospheric Science

Fingerprint Dive into the research topics of 'A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations'. Together they form a unique fingerprint.

Cite this