Development of a flexible forcing immersed boundary-lattice Boltzmann method and its applications in thermal and particulate flows

Abstract

A novel flexible forcing immersed boundary?lattice Boltzmann model (IB?LBM) is introduced in this dissertation. In the conventional IB?LBM scheme, explicit formulation of the force density term may not guarantee the exact satisfaction of the no?slip velocity or no?jump temperature boundary conditions. The unsatisfied boundary conditions may lead to the non?physical solutions such as, streamline and isotherm penetration into the solid boundary that further compromises the dynamic forces experienced by the solid from its surrounding fluid regime. In this research an implicit approach is followed where the force density term is obtained using a unique formulation with single Lagrangian velocity/temperature correction term operated in flexible number of forcing steps. With mathematical simplicity the proposed formulation removes the above identified defects and found to be computationally efficient. The proposed algorithm is further extended to 3D flow studies and is validated with several bench mark test cases.