Stability and Accuracy of Lattice Boltzmann Method
Date
2013-08-01
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Abstract
The advection di usion and Navier Stokes equation can be recovered from Lattice Boltzmann
equation. The stability and accuracy analysis need to be performed to ensure that
those equations are recovered correctly. The Lattice Boltzmann stability analysis is still an
open research area. The von Neumann stability is used to investigate the maximum stable
velocity of multi-relaxation time (MRT) model as a function of relaxation parameters for
di erent lattice models. The maximum stable velocity is the maximum velocity that keep
the error bounded. The accuracy of each lattice model is investigated as a function of velocity
and number of mesh points. It is noted that the maximum velocity calculated from
stability analysis becomes signi cant when the relaxation parameter is approaching 2 (zero
viscosity), while the maximum velocity that ensures the accuracy becomes signi cant when
the relaxation parameter is away from 2.
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Keywords
Energy, Mechanical
Citation
Bawazeer, S. (2013). Stability and Accuracy of Lattice Boltzmann Method (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/27861