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- Title
Projective integration schemes for hyperbolic moment equations.
- Authors
Koellermeier, Julian; Samaey, Giovanni
- Abstract
In this paper, we apply projective integration methods to hyperbolic moment models of the Boltzmann equation and the BGK equation, and investigate the numerical properties of the resulting scheme. Projective integration is an explicit scheme that is tailored to problems with large spectral gaps between slow and (one or many) fast eigenvalue clusters of the model. The spectral analysis of a linearized moment model clearly shows spectral gaps and reveals the multi-scale nature of the model for which projective integration is a matching choice. The combination of the non-intrusive projective integration method with moment models allows for accurate, but efficient simulations with significant speedup, as demonstrated using several 1D and 2D test cases with different collision terms, collision frequencies and relaxation times.
- Subjects
MOMENTS method (Statistics); MULTISCALE modeling; EQUATIONS; POLYNOMIAL chaos
- Publication
Kinetic & Related Models, 2021, Vol 14, Issue 2, p353
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2021008