An asymptotic preserving multidimensional ALE method for a system of two compressible flows coupled with friction
We present a multidimensional asymptotic preserving scheme for the approximation of a mixture of compressible flows. Fluids are modelled by two Euler systems of equations coupled with a friction term. The asymptotic preserving property is mandatory for this kind of model, to derive a scheme that beh...
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| Veröffentlicht in: | Journal of computational physics 2018-06, Vol.363, p.268-301 |
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| container_title | Journal of computational physics |
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| creator | Del Pino, S. Labourasse, E. Morel, G. |
| description | We present a multidimensional asymptotic preserving scheme for the approximation of a mixture of compressible flows. Fluids are modelled by two Euler systems of equations coupled with a friction term.
The asymptotic preserving property is mandatory for this kind of model, to derive a scheme that behaves well in all regimes (i.e. whatever the friction parameter value is). The method we propose is defined in ALE coordinates, using a Lagrange plus remap approach. This imposes a multidimensional definition and analysis of the scheme.
•Compressible gas dynamics.•Multidimensional bi-fluid model.•Multidimensional Asymptotic preserving scheme.•Indirect ALE approach (each fluid is associated to its own mesh). |
| doi_str_mv | 10.1016/j.jcp.2018.02.016 |
| format | Article |
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The asymptotic preserving property is mandatory for this kind of model, to derive a scheme that behaves well in all regimes (i.e. whatever the friction parameter value is). The method we propose is defined in ALE coordinates, using a Lagrange plus remap approach. This imposes a multidimensional definition and analysis of the scheme.
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The asymptotic preserving property is mandatory for this kind of model, to derive a scheme that behaves well in all regimes (i.e. whatever the friction parameter value is). The method we propose is defined in ALE coordinates, using a Lagrange plus remap approach. This imposes a multidimensional definition and analysis of the scheme.
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The asymptotic preserving property is mandatory for this kind of model, to derive a scheme that behaves well in all regimes (i.e. whatever the friction parameter value is). The method we propose is defined in ALE coordinates, using a Lagrange plus remap approach. This imposes a multidimensional definition and analysis of the scheme.
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| identifier | ISSN: 0021-9991 |
| ispartof | Journal of computational physics, 2018-06, Vol.363, p.268-301 |
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| subjects | Arbitrary-Lagrangian–Eulerian (ALE) Asymptotic methods Asymptotic preserving Asymptotic properties Compressibility Compressible gas dynamics Computational fluid dynamics Computational physics Finite element analysis Finite volume method Finite volumes Fluid mechanics Friction Gases Multi-fluid Unstructured meshes |
| title | An asymptotic preserving multidimensional ALE method for a system of two compressible flows coupled with friction |
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