Wall-modeled large eddy simulation of turbulent heat transfer by the lattice Boltzmann method

Abstract

A novel implementation route of the wall-function method to the lattice Boltzmann method (LBM) is proposed to extend the applicability of the LBM for high Reynolds number turbulent heat transfer in complex geometries. The proposed immersed virtual wall method assumes the virtual wall layer beneath the wall which satisfies the slip wall conditions allowing the subsurface heat and fluid flows within the solid wall. For the validation tests, the D3Q27 multiple-relaxation-time LBM and D3Q19 regularized LBM are used to simulate flow and scaler fields, respectively, and the standard log-law based wall-function method is used. Validation tests against turbulent flows in a two-dimensional channel, circular pipe, channel with two-dimensional constraints confirm that the developed method can deal with complex curvilinear walls and yield grid independent solution with satisfactory accuracy. In addition, the developed method can be applied from partially to highly underresolved conditions, and has a great potential in predicting high Prandtl number flows.