Application of a coupled Lattice Boltzmann and Immersed Boundary Method for solving conjugated heat transfer problems

Abstract

The paper presents development of a coupled Lattice Boltzmann and Immersed Boundary Method for solving conjugated heat and fluid flow problems in a domain with complex internal boundaries. The Lattice Boltzmann Method was applied to efficiently solve both Navier-Stokes and energy equations, while the Immersed Boundary Method accounted for presence of objects of complex shape inside the computational domain. The presented approach allowed to use fixed Cartesian grid on which complex internal boundaries were imposed. Several conjugated heat transfer and fluid flow problems in a domain with complex internal boundaries, i.e., laminar natural convection in a square cavity without and with internal cylinder and isothermal flow past stationary cylinder were analyzed. The results obtained were compared with the results presented in the literature successfully verifying the developed numerical simulator.