@Article{EAJAM-11-435,
author = {Koellermeier , J. and Castro , M.J.},
title = {High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {3},
pages = {435--467},
abstract = {<p style="text-align: justify;">In this paper the first dedicated study on high-order non-conservative numerical schemes for hyperbolic moment models is presented. The implementation uses
a new formulation that allows for explicit evaluation of the model while satisfying conservation of mass, momentum, and energy. The high-order numerical schemes use a
path-conservative treatment of the non-conservative terms and a new consistent evaluation of the eigenvalues. The numerical results of two initial value problems, one stationary test case and a boundary value problem, yield stable and accurate solutions with
convergence towards the reference solution despite the presence of a non-conservative
term. A large speedup or accuracy gain in comparison to existing first-order codes could
be demonstrated.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090920.130121},
url = {http://global-sci.org/intro/article_detail/eajam/19136.html}
}