Discretizations for the Incompressible Navier-Stokes Equations based on the Lattice Boltzmann Method
- A discrete velocity model with spatial and velocity discretization based on a lattice Boltzmann method is considered in the low Mach number limit. A uniform numerical scheme for this model is investigated. In the limit, the scheme reduces to a finite difference scheme for the incompressible Navier-Stokes equation which is a projection method with a second order spatial discretization on a regular grid. The discretization is analyzed and the method is compared to Chorin's original spatial discretization. Numerical results supporting the analytical statements are presented.
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| Author: | Michael Junk, Axel Klar |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-6215 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (212) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1999 |
| Year of first Publication: | 1999 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/06/25 |
| Tag: | Chorin's projection scheme; Discrete velocity models; incompressible Navier-Stokes equations; lattice Boltzmann method; low Mach number limit |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |