Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 2002 · 2K citations · 26 references
Natural SciencesComputational EngineeringPhysicsComputational Fluid DynamicsComputational PhysicsFluid DynamicsBoltzmann Transport EquationLattice Boltzmann MethodsBoltzmann EquationsLattice Boltzmann EquationLattice Boltzmann SimulationMulti-relaxation-time ModelsNumerical Stability AnalysisNumerical Stability In DynamicsRelaxation Time ApproximationStability Of Numerical Schemes
This article provides a concise exposition of the multiple-relaxation-time lattice Boltzmann equation, with examples of 15-velocity and 19-velocity models in three dimensions. Simulation of a diagonally lid-driven cavity flow in three dimensions at Re = 500 and 2000 is performed. The results clearly demonstrate the superior numerical stability of the multiple-relaxation-time lattice Boltzmann equation over the popular lattice Bhatnagar-Gross-Krook equation.
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