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Title:

Implicit time schemes for compressible fluid models based on relaxation methods

Document type:
Zeitschriftenaufsatz
Author(s):
Coulette, D.; Franck, E.; Helluy, P.; Ratnani, A.; Sonnendrücker, E.
Abstract:
In this work, we are interested in the implicit discretization of compressible fluid models. When applied to this type of models, standard implicit schemes suffer from a lack of efficiency due to the ill-conditioning of the associated matrices. In this paper we propose an alternative strategy based on a relaxation method coupled with an implicit scheme. This method allows us to approximate the full complex problem by a collection of simpler ones that can be solved with standard methods. We obtai...     »
Keywords:
Implicit method, Hyperbolic systems, Conditioning, Relaxation, High-order
Journal title:
Computers & Fluids
Year:
2019
Journal volume:
188
Pages contribution:
70-85
Fulltext / DOI:
doi:https://doi.org/10.1016/j.compfluid.2019.05.009
WWW:
https://www.sciencedirect.com/science/article/pii/S0045793019301483
Print-ISSN:
0045-7930
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