Modelling of thermal contact resistance within the framework of the thermal lattice Boltzmann method

A novel numerical approach, termed the partial bounce back scheme, is introduced within the framework of the thermal lattice Boltzmann method to account for thermal contact resistance between contacting surfaces. The correlation between thermal contact resistance and the partial bounce back parameter is established. A special case of the scheme leads to a new approach that can be directly applied for the treatment of adiabatic thermal boundary conditions in the thermal lattice Boltzmann method. Numerical examples are provided to validate and demonstrate the accuracy and effectiveness of the proposed methodology.