Unstructured lattice Boltzmann method in three dimensions

2005 ◽  
Vol 49 (6) ◽  
pp. 619-633 ◽  
Author(s):  
N. Rossi ◽  
S. Ubertini ◽  
G. Bella ◽  
S. Succi
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Three Dimensions ◽  
Boltzmann Method

Two Phase Flow Simulation With Lattice Boltzmann Method: Application to Wave Breaking

2013 ◽  
Author(s):  
Amir Banari ◽  
Stephan T. Grilli ◽  
Christian F. Janssen
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Wave Breaking ◽  
Fluid Pressure ◽  
High Density ◽  
Three Dimensions ◽  
Breaking Wave ◽  
Computational Domain ◽  
Density Ratios ◽  
Boltzmann Method

A new Lattice Boltzmann method (LBM) is developed to efficiently simulate multiphase flows with high density ratios, in order to study complex air-sea interaction problems, such as wind wave breaking and related sea-spray generation. In this method, which builds and improves on the method proposed earlier by [1], the motion of (diffusive) interfaces between fluids is modeled by solving the convective Cahn-Hilliard equation with the LBM. As in the latter work, we eliminate instabilities resulting from high density ratios by solving an additional Poisson equation for the fluid pressure. The resulting numerical scheme is computationally demanding since this equation must be solved over the entire computational domain, which motivates implementing the method on the massively parallel environment offered by General Purpose Graphical Processing Units (GPGPU), via the nVIDIA CUDA framework. In this paper, we present the equations and numerical methods for the method and the initial validation of the resulting multiphase-LBM for standard benchmark problems such as Poiseuille flow, a rising bubble, and Rayleigh-Taylor instability for two-fluid systems. A good agreement with the reference solutions is achieved in all cases. Finally, the method is applied to simulating an ocean breaking wave in a space periodic domain. In all the presented applications, it is observed that the GPGPU implementation leads to speed-ups of about two orders of magnitude in comparison to a single-core CPU implementation. Although the method is only currently implemented in a two-dimensional (2D) framework, its extension to three-dimensions (3D) should be straightforward, but the need for the efficient GPGPU implementation will become even more drastic in 3D.

Numerical Simulation of Filling Process in HPDC by Lattice Boltzmann Method

2013 ◽  
Vol 717 ◽  
pp. 354-358 ◽  
Author(s):  
Wen Jiong Cao ◽  
Shou Bin Dong ◽  
Xin Wei Lu ◽  
Zhao Yao Zhou
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Die Casting ◽  
Three Dimensions ◽  
Surface Model ◽  
Filling Process ◽  
Final Model ◽  
Boltzmann Method ◽  
Free Surface Model ◽  
Pressure Die Casting

A general lattice Boltzmann Method (LBM) to simulate filling process of high pressure die casting (HPDC) is investigated. Boundary conditions are studied and the free surface model is established by combine the LBM with VOF method. The final model was substantiated by simulating filling process in HPDC in three dimensions. The simulated results from LBM and finite difference method (FDM) were compared with the experiments. The results show the former is in a better agreement with experiments. It demonstrates the efficiency and precision of this LBM model in describing flow pattern in filling process.

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