Publisher DOI: 10.1016/j.camwa.2014.10.009
Title: An efficient lattice Boltzmann multiphase model for 3D flows with large density ratios at high Reynolds numbers
Language: English
Authors: Banari, Amir 
Janßen, Christian F.  
Grilli, Stephan T. 
Keywords: Breaking wave; Drop impact; High density ratio; Lattice Boltzmann method; Multiphase flows; Rising bubble
Issue Date: 1-Nov-2014
Publisher: Elsevier Science
Source: Computers and Mathematics with Applications 68 (12): 1819-1843 (2014)
Abstract (english): 
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.
ISSN: 1873-7668
Journal: Computers and mathematics with applications 
Institute: Fluiddynamik und Schiffstheorie M-8 
Document Type: Article
Funded by: US National Sciences Foundation (NSF)
More Funding information: The authors wish to acknowledge support from grant OCE-09-27014 of the US National Sciences Foundation (NSF) Physical Oceanography Program.
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