Natural convection from an eccentric square cylinder using a novel flexible forcing IB-LBM method

Abstract

The natural convection process in an annulus of a cold square enclosure with a hot eccentric square cylinder is simulated using a novel flexible forcing immerse boundary (IB)-lattice Boltzmann method (LBM). In the conventional IB-LBM schemes, the explicit force density calculation may not ensure the exact no-slip velocity/no-jump temperature boundary condition, which may produce unphysical streamline/isotherm penetration into the cylinder. Here, we proposed a single Lagrangian velocity/temperature correction that satisfies the boundary conditions accurately. The developed scheme is applied to analyze the flow regime and heat transfer, as functions of Rayleigh number and eccentricity of the cylinder. © 2014 Copyright Taylor and Francis Group, LLC.