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Kinetic derivation of a finite difference scheme for the incompressible Navier–Stokes equation
- Source :
-
Journal of Computational & Applied Mathematics . May2003, Vol. 154 Issue 2, p341. 14p. - Publication Year :
- 2003
-
Abstract
- In the present paper the low Mach number limit of kinetic equations is used to develop a discretization for the incompressible Navier–Stokes equation. The kinetic equation is discretized with a first- and second-order discretization in space. The discretized equation is then considered in the low Mach number limit. Using this limit a second-order discretization for the convective part in the incompressible Navier–Stokes equation is obtained. Numerical experiments are shown comparing different approaches. [Copyright &y& Elsevier]
- Subjects :
- *NAVIER-Stokes equations
*ASYMPTOTIC expansions
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 154
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 9602699
- Full Text :
- https://doi.org/10.1016/S0377-0427(02)00857-9