In recent years, the lattice Boltzmann method (LBM) has developed into an alternative and promising numerical scheme for simulating fluid flows and modeling physics in fluids. In order to proposing lattice Boltzmann method for high Reynolds number fluid flow applications, as well as conforming the value of Smagorinsky coefficient of subgrid model appropriately, a dynamic subgrid turbulence model for lattice Boltzmann method was proposed on the base of dynamic Smagorinsky subgrid model and LBGK model. Then the subgrid LBGK model was used to simulate the two-dimensional driven cavity flow at some high Reynolds numbers. The simulation results including distribution of stream lines, dimensionless velocities distribution, stream function, as well as location of vertex center, were compared with benchmark solution. Both simulation results and benchmark solution are agreed with each other.
A Lattice Boltzmann Dynamic Subgrid Model for Lid-Driven Cavity Flow
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Yang, F, Wu, Y, & Liu, S. "A Lattice Boltzmann Dynamic Subgrid Model for Lid-Driven Cavity Flow." Proceedings of the ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. Volume 2, Parts A and B. Charlotte, North Carolina, USA. July 11–15, 2004. pp. 241-245. ASME. https://doi.org/10.1115/HT-FED2004-56100
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