Year: 2022
Author: Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 5 : pp. 1181–1200
Abstract
It is well known that developing well-balanced schemes for the balance laws is useful for reducing numerical errors. In this paper, a well-balanced weighted compact nonlinear scheme (WCNS) is proposed for shallow water equations in pre-balanced forms. The scheme is proved to be well-balanced provided that the source term is treated appropriately as the advection term. Some numerical examples in one- and two-dimensions are also presented to demonstrate the well-balanced property, high order accuracy and good shock capturing capability of the proposed scheme.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2021-0117
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 5 : pp. 1181–1200
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Shallow water equation weighted compact nonlinear scheme well-balanced property shock capturing property.