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

doi:10.1016/j.ocemod.2010.02.006

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

Mathematics

Research output: Contribution to journal › Article › peer-review

14 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 language	English (US)
Pages (from-to)	235-256
Number of pages	22
Journal	Ocean Modelling
Volume	33
Issue number	3-4
DOIs	https://doi.org/10.1016/j.ocemod.2010.02.006
State	Published - 2010

All Science Journal Classification (ASJC) codes

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

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10.1016/j.ocemod.2010.02.006

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

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.",

author = "K. Adamy and A. Bousquet and S. Faure and J. Laminie and R. Temam",

note = "Funding Information: The authors wish to thank the anonymous referees for their judicious comments which helped improve the article and they wish to thank T. Dubois and F. Jauberteau for their helpful advice and for making available to them the initial data for the second test case. This work was supported in part by NSF Grants DMS 0604235 and DMS 0906440 , and by the Research Fund of Indiana University . ",

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T1 - A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations

AU - Adamy, K.

AU - Bousquet, A.

AU - Faure, S.

AU - Laminie, J.

AU - Temam, R.

N1 - Funding Information: The authors wish to thank the anonymous referees for their judicious comments which helped improve the article and they wish to thank T. Dubois and F. Jauberteau for their helpful advice and for making available to them the initial data for the second test case. This work was supported in part by NSF Grants DMS 0604235 and DMS 0906440 , and by the Research Fund of Indiana University .

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

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JO - Ocean Modelling

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ER -

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

Abstract

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