Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography

Chang, Wei Shyang, Bazuhair, Muna Mohammed, Ismail, Farzad, Chizari, Hossain ORCID: https://orcid.org/0000-0002-6630-1880 and Ishak, Mohammad Hafifi Hafiz 2023. Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography. Computers and Mathematics with Applications 148 , pp. 188-199. 10.1016/j.camwa.2023.08.006

Full text not available from this repository.

Abstract

This paper presents an alternative well-balanced and energy stable method for the system of non-homogeneous Shallow Water Equations (SWE) on unstructured grids based on the residual distribution (RD) approach. The motivation of the work is based on the grid insensitivity of RD method. The newly proposed method has a positive first order part, a linearity-preserving second order scheme as well as a limited scheme which works for both steady and unsteady problems using simple, explicit time integration techniques. Numerical results herein confirm the accuracy and efficacy of the new methods in preserving both energy stability and well-balancedness.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0898-1221
Date of Acceptance:	10 August 2023
Last Modified:	31 Oct 2023 11:00
URI:	https://orca.cardiff.ac.uk/id/eprint/163407

Actions (repository staff only)

Edit Item