Abstract

Simulations of passive scalar transport on a three-dimensional (3D) multiresolution grid are presented within the framework of single relaxation time lattice Boltzmann method. The combined modeling of the fluid flow and scalar transport is handled by a double distribution function approach in which the velocity in the fluid flow equation is solved first and then copied to the scalar equation to solve the corresponding scalar quantities. A 3D scaling technique, considering both external forces and scalar source terms, and two-dimensional bicubic interpolation scheme are developed for coupling nonequilibrium velocity and scalar distributions on the interfaces of different resolution grids. The proposed algorithm is validated for three benchmark cases, i.e., the forced convection in a 3D channel, natural convection in a cubical cavity, and turbulent channel flow with heat transfer. Good agreements are found between the present predictions and previous data, which confirms the capability of the proposed method for the computation of passive scalar transport in 3D domains.

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