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 -

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.