Abstract
AbstractThe central moments formalism of the cascaded lattice Boltzmann automaton is a natural approach to stabilize under‐resolved unsteady high Reynolds number flow simulations. On the basis of the two absolute length scales of shear flow simulations which are the physical scale η (Kolmogorov scale) and the numerical scale h (grid spacing), it is argued that higher central moments of the local momentum distribution should go much faster to zero than the explicitly traced hydrodynamic moments. The lattice Boltzmann formalism allows one to adjust these higher moments without affecting the velocity field and its gradients in the same time step. It is shown that setting the higher central moments to zero in each time step stabilizes the model. As an example vortex shedding behind an obstacle which is only one grid spacing wide is shown. Copyright © 2007 John Wiley & Sons, Ltd.
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