@Article{CMR-36-247,
author = {Klingenberg , ChristianKurganov , AlexanderLiu , Yongle and Zenk , Markus},
title = {Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations},
journal = {Communications in Mathematical Research },
year = {2020},
volume = {36},
number = {3},
pages = {247--271},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2020-0013},
url = {http://global-sci.org/intro/article_detail/cmr/17848.html}
}