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EnglishA relaxation system based on a Lattice-Boltzmann type discrete velocity model is considered in the low Mach number limit. A third order relaxation scheme is developed working uniformly for all ranges of the mean free path and Mach number. In the incompressible Navier-Stokes limit the scheme reduces to an explicit high order finite difference scheme for the incompressible Navier-Stokes equations based on nonoscillatory upwind discretization. Numerical results and comparisons with other approaches are presented for several test cases in one and two space dimensions.
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http://hdl.handle.net/11392/525760| Titolo: | Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations |
| Autori interni: | PARESCHI, Lorenzo |
| Data di pubblicazione: | 2008 |
| Rivista: | MATHEMATICS OF COMPUTATION |
| Abstract: | A relaxation system based on a Lattice-Boltzmann type discrete velocity model is considered in the low Mach number limit. A third order relaxation scheme is developed working uniformly for all ranges of the mean free path and Mach number. In the incompressible Navier-Stokes limit the scheme reduces to an explicit high order finite difference scheme for the incompressible Navier-Stokes equations based on nonoscillatory upwind discretization. Numerical results and comparisons with other approaches are presented for several test cases in one and two space dimensions. |
| Handle: | http://hdl.handle.net/11392/525760 |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
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