Relaxation schemes for the shallow water equations

A. I. Delis; Th Katsaounis

doi:10.1002/fld.462

Relaxation schemes for the shallow water equations

A. I. Delis^*, Th Katsaounis

^*Corresponding author for this work

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

42 Scopus citations

Abstract

We present a class of first and second order in space and time relaxation schemes for the shallow water (SW) equations. A new approach of incorporating the geometrical source term in the relaxation model is also presented. The schemes are based on classical relaxation models combined with Runge-Kutta time stepping mechanisms. Numerical results are presented for several benchmark test problems with or without the source term present.

Original language	English (US)
Pages (from-to)	695-719
Number of pages	25
Journal	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume	41
Issue number	7
DOIs	https://doi.org/10.1002/fld.462
State	Published - Mar 10 2003
Externally published	Yes

Keywords

Finite differences
Relaxation schemes
Swallow water equations

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Applied Mathematics

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10.1002/fld.462

Cite this

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title = "Relaxation schemes for the shallow water equations",

abstract = "We present a class of first and second order in space and time relaxation schemes for the shallow water (SW) equations. A new approach of incorporating the geometrical source term in the relaxation model is also presented. The schemes are based on classical relaxation models combined with Runge-Kutta time stepping mechanisms. Numerical results are presented for several benchmark test problems with or without the source term present.",

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AU - Delis, A. I.

AU - Katsaounis, Th

PY - 2003/3/10

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N2 - We present a class of first and second order in space and time relaxation schemes for the shallow water (SW) equations. A new approach of incorporating the geometrical source term in the relaxation model is also presented. The schemes are based on classical relaxation models combined with Runge-Kutta time stepping mechanisms. Numerical results are presented for several benchmark test problems with or without the source term present.

AB - We present a class of first and second order in space and time relaxation schemes for the shallow water (SW) equations. A new approach of incorporating the geometrical source term in the relaxation model is also presented. The schemes are based on classical relaxation models combined with Runge-Kutta time stepping mechanisms. Numerical results are presented for several benchmark test problems with or without the source term present.

KW - Finite differences

KW - Relaxation schemes

KW - Swallow water equations

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U2 - 10.1002/fld.462

DO - 10.1002/fld.462

M3 - Article

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SN - 0271-2091

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JO - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

JF - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

IS - 7

ER -

Relaxation schemes for the shallow water equations

Abstract

Keywords

ASJC Scopus subject areas

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