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A multi-block lattice Boltzmann method for viscous fluid flows. (English) Zbl 1036.76051
The authors introduce a D2Q9 lattice Boltzmann algorithm on block-refined grids. At grid interfaces, continuity of density, momentum and viscous stress is used as construction criterion for coupling conditions. The relaxation times on different grids are chosen in such a way that the viscosity is grid-independent. The number of temporal substeps in a refined region is equal to the integer factor between the coarse and fine grid length, thus reflecting a hydrodynamical scaling. Several numerical examples are presented (lid driven cavity, flow around a cylinder, flow over NACA0012 airfoil), and the smooth transition of fields across the grid interfaces is demonstrated.

MSC:
76M28 Particle methods and lattice-gas methods
76D05 Navier-Stokes equations for incompressible viscous fluids
76N15 Gas dynamics (general theory)
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