Lattice-boltzmann Navier-stokes Simulation on Graphic Processing Units

A model with a volumetric stress tensor added to the Navier–Stokes Equation is used to study two-phase fluid flows. The implementation of such an interface model into the lattice-Boltzmann equation is derived from the continuous Boltzmann BGK equation with an external force term, by using the discrete coordinate method. Numerical simulations are carried out for phase separation and "dam breaking" phenomena.

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Involving the Navier–Stokes equations in the derivation of boundary conditions for the lattice Boltzmann method

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2011.0045 ◽

2011 ◽

Vol 369 (1944) ◽

pp. 2184-2192 ◽

Cited By ~ 1

Author(s):

Joris C. G. Verschaeve

Keyword(s):

Boundary Condition ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Grid Spacing ◽

Navier Stokes Equations ◽

Slip Boundary ◽

Boltzmann Method

By means of the continuity equation of the incompressible Navier–Stokes equations, additional physical arguments for the derivation of a formulation of the no-slip boundary condition for the lattice Boltzmann method for straight walls at rest are obtained. This leads to a boundary condition that is second-order accurate with respect to the grid spacing and conserves mass. In addition, the boundary condition is stable for relaxation frequencies close to two.

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Numerical Simulation of High Reynolds Number Flow Structure in a Lid-Driven Cavity Using MRT-LES

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.554.665 ◽

2014 ◽

Vol 554 ◽

pp. 665-669

Author(s):

Leila Jahanshaloo ◽

Nor Azwadi Che Sidik

Keyword(s):

Reynolds Number ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Numerical Technique ◽

Lattice Boltzmann Model ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Driven Cavity ◽

Reynolds Number Flow ◽

Boltzmann Method

The Lattice Boltzmann Method (LBM) is a potent numerical technique based on kinetic theory, which has been effectively employed in various complicated physical, chemical and fluid mechanics problems. In this paper multi-relaxation lattice Boltzmann model (MRT) coupled with a Large Eddy Simulation (LES) and the equation are applied for driven cavity flow at different Reynolds number (1000-10000) and the results are compared with the previous published papers which solve the Navier stokes equation directly. The comparisons between the simulated results show that the lattice Boltzmann method has the capacity to solve the complex flows with reasonable accuracy and reliability. Keywords: Two-dimensional flows, Lattice Boltzmann method, Turbulent flow, MRT, LES.

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Entropic lattice Boltzmann representations required to recover Navier-Stokes flows

Physical Review E ◽

10.1103/physreve.75.036712 ◽

2007 ◽

Vol 75 (3) ◽

Cited By ~ 34

Author(s):

Brian Keating ◽

George Vahala ◽

Jeffrey Yepez ◽

Min Soe ◽

Linda Vahala

Keyword(s):

Lattice Boltzmann ◽

Navier Stokes ◽

Stokes Flows

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Large-scaled simulation on the coherent vortex evolution of a jet in a cross-flow based on lattice Boltzmann method

Thermal Science ◽

10.2298/tsci150606101s ◽

2015 ◽

Vol 19 (3) ◽

pp. 977-988 ◽

Cited By ~ 1

Author(s):

Yanqin Shangguan ◽

Xian Wang ◽

Yueming Li

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Flow Characteristics ◽

Cross Flow ◽

Hairpin Vortex ◽

Graphic Processing Units ◽

Computational Performance ◽

Good Ability ◽

Secondary Vortices ◽

Boltzmann Method

Large eddy simulation (LES) is performed on a jet issued normally into a cross-flow using lattice Boltzmann method (LBM) and multiple graphic processing units (multi-GPUs) to study the flow characteristics of jets in cross-flow (JICF). The simulation with 8 1.50?10 grids is fulfilled with 6 K20M GPUs. With large-scaled simulation, the secondary and tertiary vortices are captured. The features of the secondary vortices and the tertiary vortices reveal that they have a great impact on the mixing between jet flow and cross-flow. The qualitative and quantitative results also indicate that the evolution mechanism of vortices is not constant, but varies with different situations. The hairpin vortex under attached jet regime originates from the boundary layer vortex of cross-flow. While, the origin of hairpin vortex in detached jet is the jet shear-layer vortex. The mean velocities imply the good ability of LBM to simulate JICF and the large loss of jet momentum in detached jet caused by the strong penetration. Besides, in our computation, a high computational performance of 1083.5 MLUPS is achieved.

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