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High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form

High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form

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.

Author Details

J. Koellermeier

M.J. Castro

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