On the Lattice Boltzmann Method stabilization for turbulent flow regimes with extremely high Reynolds numbers
Abstract
The paper considers a lattice Boltzmann method stabilization when Reynolds number goes to infinity, i.e. infinitely small viscosity. Stream and collide algorithm is considered and every fractural step is analyzed for stability. As the result of the analysis, the local limiter of the particle probability distribution function evolution is introduced for entropy deviation. The limiter is equivalent to the classic CFD TVD limiters. A set of initial-boundary value problems is solved on D2Q9 lattice to verify the method and its stability properties. The work is supported by RFFI grants 08-07-00074а and 09-07-00078а
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