A finite difference interpretation of the lattice Boltzmann method | Zendy

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A finite difference interpretation of the lattice Boltzmann method

Author(s) -

Junk Michael

Publication year - 2001

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1018

Subject(s) - lattice boltzmann methods , mathematics , discretization , compressibility , partial differential equation , finite difference , mathematical analysis , finite difference method , physics , mechanics

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 equation. 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 equation are obtained. © John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:383 402, 2001

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