Year: 2020
Author: Christian Klingenberg, Alexander Kurganov, Yongle Liu, Markus Zenk
Communications in Mathematical Research , Vol. 36 (2020), Iss. 3 : pp. 247–271
Abstract
We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography. The designed first- and second-order schemes are tested on a number of numerical examples, in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0013
Communications in Mathematical Research , Vol. 36 (2020), Iss. 3 : pp. 247–271
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Shallow water equations Harten-Lax-Van Leer (HLL) scheme well-balanced method steady-state solutions (equilibria) moving-water and still-water equilibria.