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A Lattice Boltzmann Subgrid Model For High Reynolds Number Flows, S. Hou, James D. Sterling, S. Chen, G. D. Doolen Jan 1996

A Lattice Boltzmann Subgrid Model For High Reynolds Number Flows, S. Hou, James D. Sterling, S. Chen, G. D. Doolen

Business and Information Technology Faculty Research & Creative Works

A sub grid turbulence model for the lattice Boltzmann method is proposed for high Reynolds number fluid flow applications. The method, based on the standard Smagorinsky sub grid model and a single-time relaxation lattice Boltzmann method, incorporates the advantages of the lattice Boltzmann method for handling arbitrary boundaries and is easily implemented on parallel machines. The method is applied to a two-dimensional driven cavity flow for studying dynamics and the Reynolds number dependence of the flow structures. The substitution of other sub grid models, such as the dynamic sub grid model, in the framework of the LB method is discussed.


Lattice Boltzmann Thermohydrodynamics, F. J. Alexander, S. Chen, J. D. Sterling Jan 1993

Lattice Boltzmann Thermohydrodynamics, F. J. Alexander, S. Chen, J. D. Sterling

Business and Information Technology Faculty Research & Creative Works

We introduce a lattice Boltzmann computational scheme capable of modeling thermohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient alternative to traditional methods of computational fluid dynamics. The scheme uses a small number of discrete velocity states and a linear, single-time relaxation collision operator. Numerical simulations in two dimensions agree well with exact solutions for adiabatic sound propagation and Couette flow with heat transfer. © 1993 The American Physical Society.