A polyhedral/polygonal mesh topology based momentum mapping method for Eulerian/Lagrangian simulations with strong influence/dependence coupling

An improved non-isotropic momentum mapping method for the Eulerian/Lagrangian coupling algorithm is proposed. The concept of strong influence and dependence between the Eulerian and Lagrangian reference frames is the focus of the proposed method. The mapping technique is designed for cell centered control volume based algorithms and applicable to arbitrary polyhedral/polygonal mesh topologies. Eulerian to Lagrangian interpolation methods are reviewed to highlight the importance of consistently treating the influence and dependence between the Eulerian to Lagrangian interpolation technique and the Lagrangian to Eulerian momentum mapping method. A review of non-isotropic momentum source term treatment for the SIMPLE algorithm is discussed along with its importance to the overall algorithm stability. A gas/particulate test case is presented to compare the stability of the proposed momentum mapping method to the commonly used injection technique. The results of the test case demonstrate the importance of consistently treating the interpolation and mapping process and shows that the proposed method leads to a more stable Eulerian/Lagrangian multiphase algorithm.