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Towards a consistency proof for immiscible lattice BGK
Author(s) -
Kehrwald Dirk
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310321
Subject(s) - consistency (knowledge bases) , lattice (music) , compressibility , mathematics , moment (physics) , flow (mathematics) , mathematical analysis , statistical physics , physics , classical mechanics , mechanics , geometry , acoustics
Emanating from the incompressible Navier‐Stokes equations, a widely used mathematical model of immiscible twophase flow is rigorously derived. Once the model is fixed, it is analysed to what extend the immiscible lattice BGK method approximates the solution of the model equations. Using equivalent moment analysis and some elementary tools from differential geometry we are able to show weak consistency if certain well founded but unproven presumptions hold.