Moment Base Lattice Boltzmann Approach for Multiphysics Flow Problems

This paper describes a novel numerical approach for simulating multiphysics ow problems using several moments. Unsteady evolution of the moments are obtained by the lattice Boltzmann framework. Three dimensional incompressible isothermal ows can be described using lower ten moments. The Chapman-Enskog distribution functions for three dimensional lattice (for example, D3Q19) are temporary constructed from the moments. The time evolution of the moments can be obtained using the standard lattice Boltzmann method. As compared with the standard lattice Boltzmann method, the present method can save storage and improve numerical stability. Numerical experiments indicate that the advantage is more evident for multiphysics ow problems.