@Article{AAMM-14-5,
author = {Mingyang, Cheng and Tang, Lingyan and Yaming, Chen and Songhe, Song},
title = {A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2022},
volume = {14},
number = {5},
pages = {1181--1200},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0117},
url = {https://global-sci.com/article/72937/a-well-balanced-weighted-compact-nonlinear-scheme-for-pre-balanced-shallow-water-equations}
}