Year: 2021
Author: J. Koellermeier, M.J. Castro
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 435–467
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.090920.130121
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 435–467
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Hyperbolic moment model non-conservative high-order scheme.