A Finite Difference Interpretation of the Lattice Boltzmann Method
- Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier-Stokes equations. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side effect, new starting points for a discretization of the incompressible Navier-Stokes equations are obtained.
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| Author: | Michael Junk |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-6208 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (211) |
| 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): | 2000/04/03 |
| Tag: | discrete velocity models; finite difference method; incompressible Navier-Stokes equations; lattice Boltzmann method; low Mach number limit; rela |
| 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 |