Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme

Finite Volume Multilevel Approximation of the Shallow Water Equations with a Time Explicit Scheme

Year:    2014

International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 762–786

Abstract

We consider a simple advection equation in space dimension one and the linearized shallow water equations in space dimension two and describe and implement two different multilevel finite volume discretizations in the context of the utilization of the incremental methods with time explicit or semi-explicit schemes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2014-IJNAM-551

International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 762–786

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    finite volume methods multilevel methods Euler explicit schemes shallow water equations stability analysis.