Journal Article10.1209/0295-5075/17/6/001
Lattice BGK Models for Navier-Stokes Equation
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Citations
Kinetic boundary conditions in the lattice Boltzmann method.
Santosh Ansumali,Iliya V. Karlin +1 more
TL;DR: Numerical results are presented which demonstrate convergence to the hydrodynamic limit and theknudsen layer in the Kramers' problem is reproduced correctly for small Knudsen numbers.
392
Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations
TL;DR: The ELBE scheme is the most inferior among the LB models tested in this study, thus is unfit for carrying out numerical simulations in practice and the MRT and TRT LB models are superior to the ELBE and LBGK models in terms of accuracy, stability, and computational efficiency.
A consistent hydrodynamic boundary condition for the lattice Boltzmann method
TL;DR: In this paper, a hydrodynamic boundary condition is developed to replace the heuristic bounce-back boundary condition used in the majority of lattice Boltzmann simulations, which is applied to the two-dimensional, steady flow of an incompressible fluid between two parallel plates.
387
•Journal Article
Two-relaxation-time Lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions
TL;DR: In this paper, a two-relaxation-time (TRT) Lattice Boltzmann model for hydrodynamic equations with variable source terms based on equivalent equilibrium functions is derived.
387
Lattice Boltzmann Method for 3-D Flows with Curved Boundary
TL;DR: In this article, three athermal 3D LBE models (Q15D3, Q19D3 and Q27D3) are compared in terms of efficiency, accuracy, and robustness.
377
References
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
TL;DR: In this paper, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
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Lattice-Gas Automata for the Navier-Stokes Equation
TL;DR: It is shown that a class of deterministic lattice gases with discrete Boolean elements simulates the Navier-Stokes equation, anc, and can be used to design simple, massively parallel computing machines.
2.8K
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.
2.2K
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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