High order well-balanced scheme for river flow modeling

Marek Brandner, Jiří Egermaier and Hana Kopincová

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 10, 1773-1787

Abstract: We propose a new numerical scheme based on the finite volumes to simulate the river flow in the presence of a variable bottom surface. Our approach is based on the Riemann solver designed for the augmented quasilinear homogeneous formulation. The scheme has general semidiscrete wave-propagation form and can be extended to an arbitrary high order accuracy. The main goal is to construct the scheme, which is well-balanced, i.e. maintains not only some special steady states, but all steady states which can occur.

Keywords: Hyperbolic conservation laws; Finite volume methods; steady states; semidiscrete schemes (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:10:p:1773-1787

DOI: 10.1016/j.matcom.2012.05.013

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