Numerical Investigations of Incompressible Buoyancy-driven Flows over Wide Parametric Ranges using Lattice Boltzmann Method

Abstract

This thesis presents a comprehensive exploration of the Lattice Boltzmann Method (LBM) applied to buoyancy-driven flow in a single fluid phase. Using the D2Q9 lattice and the LBGK method in two dimensions, the developed LBM codes showcase remarkable performance across diverse problem sets. Rigorous validation exercises ensure the accuracy and realism of parameterizations. The research begins with validations through simulations of benchmark isothermal and thermal flow problems, followed by the application of the thermal lattice Boltzmann method (TLBM) to study natural convection, including non-Boussinesq simulations.