Premium
Analysis of lattice Boltzmann boundary conditions
Author(s) -
Junk M.,
Yang Z.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310320
Subject(s) - lattice boltzmann methods , boundary value problem , hpp model , mathematics , boltzmann constant , boltzmann equation , consistency (knowledge bases) , statistical physics , lattice (music) , mathematical analysis , physics , mechanics , geometry , quantum mechanics , reynolds number , acoustics , turbulence
The correct implementation of Navier‐Stokes boundary conditions in the framework of lattice Boltzmann schemes is complicated by the non‐availability of analytical methods to assess the consistency of such discretizations. To close this gap, we propose a simple direct asymptotic analysis which is readily applicable to finite difference discretizations of initial boundary value problems in general and to lattice Boltzmann methods in particular. Results of the analysis applied to the classical lattice Boltzmann scheme with bounce back boundary condition are reported.