TY - JOUR
T1 - High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form
AU - Koellermeier , J.
AU - Castro , M.J.
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 435
EP - 467
PY - 2021
DA - 2021/05
SN - 11
DO - http://doi.org/10.4208/eajam.090920.130121
UR - https://global-sci.org/intro/article_detail/eajam/19136.html
KW - Hyperbolic moment model, non-conservative, high-order scheme.
AB - <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>