An efficient lattice Boltzmann multiphase model for 3D flows with large density ratios at high Reynolds numbers
Date of Original Version
We report on the development, implementation and validation of a new Lattice Boltzmann method (LBM) for the numerical simulation of three-dimensional multiphase flows (here with only two components) with both high density ratio and high Reynolds number. This method is based in part on, but aims at achieving a higher computational efficiency than Inamuro et al.'s model (Inamuro et al., 2004). Here, we use a LBM to solve both a pressureless Navier-Stokes equation, in which the implementation of viscous terms is improved, and a pressure Poisson equation (using different distribution functions and a D3Q19 lattice scheme); additionally, we propose a new diffusive interface capturing method, based on the Cahn-Hilliard equation, which is also solved with a LBM. To achieve maximum efficiency, the entire model is implemented and solved on a heavily parallel GPGPU co-processor. The proposed algorithm is applied to several test cases, such as a splashing droplet, a rising bubble, and a braking ocean wave. In all cases, numerical results are found to agree very well with reference data, and/or to converge with the discretization.
Computers and Mathematics with Applications
Banari, Amir, Christian F. Janßen, and Stéphan T. Grilli. "An efficient lattice Boltzmann multiphase model for 3D flows with large density ratios at high Reynolds numbers." Computers and Mathematics with Applications 68, 12 (2014): 1819-1843. doi:10.1016/j.camwa.2014.10.009.