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Changes in velocity profiles in a two dimensional carotid artery geometry in response to changes in velocity waveforms and a simulated stenosis growth:a lattice Boltzmann simulation

, 2007
Boyd, J., Buick, James
core  

A Lattice Boltzmann Equation for Waves

Journal of Computational Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, GW (reprint author), Jilin Univ, Dept Math, Changchun 130023, Peoples R China., 闫广武   +1 more
exaly   +4 more sources

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Lattice Boltzmann Method

Advanced Computational Techniques for Heat and Mass Transfer in Food Processing, 2022
Lattice Boltzmann method is relatively new method in the field of computational fluid dynamics. It has been derived from lattice gas automata and is still under development.
M. Sheikholeslami, E. Abohamzeh
semanticscholar   +1 more source

Lattices for the lattice Boltzmann method

Physical Review E, 2009
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the construction of lattice Boltzmann models as an approximation to the Boltzmann equation is presented.
Chikatamarla, S.S., Karlin, I.V.
openaire   +4 more sources

The lattice Boltzmann method for nearly incompressible flows

Journal of Computational Physics, 2020
This review summarizes the rigorous mathematical theory behind the lattice Boltzmann equation (LBE). Relevant properties of the Boltzmann equation and a derivation of the LBE from the Boltzmann equation are presented.
P. Lallemand, Li-Shi Luo, M. Krafczyk, W. Yong   +3 more
semanticscholar   +1 more source

Exact Lattice Boltzmann Equation

Physical Review Letters, 2013
The lattice Boltzmann equation is derived from the Bhatnagar-Gross-Krook kinetic equation using the Euler-Maclaurin integration formula. Unlike previous attempts to connect the lattice Boltzmann method with the kinetic theory, the result is free of any relaxation-type approximation.
Bösch F, Karlin IV
openaire   +3 more sources

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

Physical Review E, 1997
In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space are discussed in detail.
Xiaoyi He, Li-Shi Luo
openaire   +1 more source

Theory of the lattice Boltzmann equation: Lattice Boltzmann model for axisymmetric flows

Physical Review E, 2009
A lattice Boltzmann equation (LBE) for axisymmetric flows is proposed. The model has some distinct features that distinguish it from existing axisymmetric LBE models. First, it is derived from the Boltzmann equation so that it has a solid physics base and is easy for generalization; second, the model can describe the axial, radial, and azimuthal ...
Zhaoli, Guo, Haifeng, Han, Baochang, Shi, Chuguang, Zheng   +3 more
openaire   +2 more sources

The Lattice-Boltzmann Method on Optimal Sampling Lattices

IEEE Transactions on Visualization and Computer Graphics, 2009
In this paper, we extend the single relaxation time Lattice-Boltzmann Method (LBM) to the 3D body-centered cubic (BCC) lattice. We show that the D3bQ15 lattice defined by a 15 neighborhood connectivity of the BCC lattice is not only capable of more accurately discretizing the velocity space of the continuous Boltzmann equation as compared to the D3Q15 ...
Usman R. Alim, Alireza Entezari, Torsten Möller   +2 more
openaire   +2 more sources