Lattice Boltzmann methods for shallow water flow applications
Date
2011-06-23
Authors
Uoane, Tumelo R.A.
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Abstract
The lattice Boltzmann (LB) method has become an e ective numerical technique for
computational
uid dynamics (CFD). The method is based on gas kinetic theory and is
used as an alternative numerical method to simulate shallow water equations (SWEs). In
this work, an overview of the Shallow Water LB method will be presented and the stability
of this approach will be investigated. The stability structure will be used as a guideline
to determine the stability of LB equations applied to SWEs. For instant some of the
parameters in the LB equations are adjusted based on the stability structure. With this
method, stable LB models are prescribed. To verify the stability theory, computational
results for a few examples used in the literature are presented.