Non-orthogonal multiple-relaxation-time lattice Boltzmann method: theory and its application in multiphase flows

ORAL

Abstract

A three-dimensional multiple-relaxation-time lattice Boltzmann method (MRT-LBM) is constructed based on a series of non-orthogonal moments. Compared with the widely used orthogonal-moments-based MRT-LBM, the present formulation simplifies the mapping between the discrete velocity space and the moment space, and exhibits better flexibility across different lattices. The proposed method is then extended to simulate multiphase flows with large density ratio and tunable surface tension, and validated via benchmark cases. Finally, we present simulations of several practical and challenging problems using the non-orthogonal MRT-LBM to highlight its capability for simulating realistic multiphase flows.

*The research has received funding from the MOST National Key Research and Development Programme (Project No. 2016YFB0600805) and the UK Engineering and Physical Sciences Research Council (EPSRC) under the project "UK Consortium on Mesoscale Engineering Sciences (UKCOMES)" (Grant Nos. EP/L00030X/1 and EP/R029598/1).

Presenters

  • Linlin Fei

    • Department of Energy and Power Engineering, Tsinghua University

Authors

  • Linlin Fei

    • Department of Energy and Power Engineering, Tsinghua University
  • Kai Hong Luo

    • Departmet of Mechanical Engineering, University College London