@Article{CMR-36-3,
author = {Klingenberg, Christian and Kurganov, Alexander and Yongle, Liu 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 = {https://global-sci.com/article/81532/moving-water-equilibria-preserving-hll-type-schemes-for-the-shallow-water-equations}
}