Simultaneous incorporation of mass and force terms in the multi-relaxation-time framework for lattice Boltzmann schemes

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Simultaneous incorporation of mass and force terms in the multi-relaxation-time framework for lattice Boltzmann schemes.

This paper presents an analysis of the simultaneous incorporation of force and mass source terms into the multi-relaxation-time (MRT) collision operator. MRT force incorporation was obtained through Chapman-Enskog analysis. The numerical scheme was tested on different benchmark problems, including the decay of a shear wave with different bulk and kinematic viscosities and axisymmetric flow.

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ژورنال

عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

سال: 2011

ISSN: 1364-503X,1471-2962

DOI: 10.1098/rsta.2011.0018