A non-slip boundary condition for lattice boltzmann simulations
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TL;DR: In this paper, a non-slip boundary condition at a wall for the lattice Boltzmann method is presented, where unknown distribution functions at the wall are assumed to be an equilibrium distribution function with a counter slip velocity which is determined so that fluid velocity at the boundary is equal to the wall velocity.
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Abstract: A non‐slip boundary condition at a wall for the lattice Boltzmann method is presented. In the present method unknown distribution functions at the wall are assumed to be an equilibrium distribution function with a counter slip velocity which is determined so that fluid velocity at the wall is equal to the wall velocity. Poiseuille flow and Couette flow are calculated with the nine‐velocity model to demonstrate the accuracy of the present boundary condition.
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Citations
Optimal Control of Fluids based on Lattice Boltzmann Method Discretizations
Vryan Gil,S. Palma +1 more
- 01 Jan 2008
TL;DR: This study uses the lattice Boltzmann method, based on the underlying statistical mechanics on assumed fluid particle population interacting over a discrete lattice mesh, to simulate fluid flows and aims to find the optimal control, in the form of an external volume force on fluid, that steers the fluid simulation towards the desired behavior.
•Dissertation
Simulation study on PEM fuel cell gas diffusion layers using x-ray tomography based Lattice Boltzmann method
Yu Liu
- 01 Jan 2011
TL;DR: In this article, a combined methodology of x-ray tomography based on the three-dimensional single phase Lattice Boltzmann (LB) simulation was developed to simulate the flow characteristics and transport phenomena in the porous media by dealing with collision of the particles at pore-scale.
References
Lattice BGK Models for Navier-Stokes Equation
TL;DR: In this article, the Navier-Stokes equation is obtained from the kinetic BGK equation at the second-order approximation with a properly chosen equilibrium distribution, with a relaxation parameter that influences the stability of the new scheme.
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Use of the Boltzmann Equation to Simulate Lattice-Gas Automata
TL;DR: On discute d'une technique alternative aux automates des gaz sur reseau pour etudier des proprietes hydrodynamiques, a savoir la modelisation d'un gaz reticulaire a l'aide d’une equation de Boltzman.
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Lattice Boltzmann model of immiscible fluids
TL;DR: A lattice Boltzmann model for simulating immiscible binary fluids in two dimensions is introduced and a theoretical value of the surface-tension coefficient is derived and found to be in excellent agreement with values obtained from simulations.
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Boltzmann Approach to Lattice Gas Simulations
F. J. Higuera,Javier Jiménez +1 more
TL;DR: In this article, an alternative simulation procedure for lattice hydrodynamics based on the lattice Boltzmann equation instead of on the microdynamical evolution is proposed, where the averaging step, used by the latter method to derive macroscopic quantities, is suppressed, as well as the associated fluctuations.
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TL;DR: A numerical method, based on a discrete Boltzmann equation, is presented for solving the equations of magnetohydrodynamics (MHD), which appears to be more competitive with traditional solution methods.
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