Simulation of steady fluid–solid conjugate heat transfer problems via immersed boundary-lattice Boltzmann method

Abstract

In this paper, we extend the lattice Boltzmann method (LBM) in combination with the immersed boundary method (IBM) to simulate the steady-state fluid–solid conjugate heat transfer problems in complex geometries. The no-slip boundary condition is handled by the immersed boundary method. The “pseudo-solid-specific-heat” technique is used to ensure the continuity of heat flux at the fluid–solid interface. The present LB thermal field solver retains the simple structure of standards thermal LB model. The performance of the present method is validated by several heat conduction/convection problems. The numerical results agree well with exact solutions or published results.