Acceleration of steady-state lattice Boltzmann simulations for exterior flows

Liu, B.; Khalili, A.

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Acceleration of steady-state lattice Boltzmann simulations for exterior flows

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Liu, B.
Department of Biogeochemistry, Max Planck Institute for Marine Microbiology, Max Planck Society;

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Khalili, A.
Department of Biogeochemistry, Max Planck Institute for Marine Microbiology, Max Planck Society;

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Liu, B., & Khalili, A. (2008). Acceleration of steady-state lattice Boltzmann simulations for exterior flows. Physical Review E, 78(5): 056701.

Cite as: https://hdl.handle.net/21.11116/0000-0001-CD10-6

Abstract

The simulation of a stationary fluid flow past an obstacle by the lattice Boltzmann method (LBM) in two dimensions is discussed. The combination of second-order expressions for far-field boundary conditions and a suitable treatment of the no-slip boundary condition at the obstacle surface with the nested grid-refinement technique can be applied to the LBM, resulting in a highly efficient method for the treatment of exterior flows. Furthermore, via replacing the nested time stepping by local time stepping, the resolution process can be substantially accelerated. A highly accurate drag coefficient was used to make an error assessment for various no-slip boundary conditions imposed on the obstacle surface. The analysis showed that the equilibrium method for treating the no-slip conditions is superior to halfway bounce-back and full-way bounce-back no-slip conditions when the relaxation time τ=1. Also a τ-dependence test was made to evaluate the performance of different methods in the treatment of the no-slip boundary conditions.