Finite volume approximation of the Linearized shallow water equations in hyperbolic mode

Arthur Bousquet, Aimin Huang

Research output: Contribution to journalArticle

Abstract

In this article, we consider the linearized inviscid shallow water equations in space dimension two in a rectangular domain. We implement a finite volume discretization and prove the numerical stability and convergence of the scheme for three cases that depend on the background flow ũ0, ṽ0 and φ0 (sub- or super-critical flow at each part of the boundary). The three cases that we consider are fully hyperbolic modes.

Original languageEnglish (US)
Pages (from-to)816-840
Number of pages25
JournalInternational Journal of Numerical Analysis and Modeling
Volume11
Issue number4
StatePublished - Jan 1 2014

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Shallow Water Equations
Convergence of numerical methods
Finite Volume
Numerical Stability
Stability and Convergence
Approximation
Water
Two Dimensions
Discretization
Background

All Science Journal Classification (ASJC) codes

  • Numerical Analysis

Cite this

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Finite volume approximation of the Linearized shallow water equations in hyperbolic mode. / Bousquet, Arthur; Huang, Aimin.

In: International Journal of Numerical Analysis and Modeling, Vol. 11, No. 4, 01.01.2014, p. 816-840.

Research output: Contribution to journalArticle

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