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Lattice Boltzmann methods

About: Lattice Boltzmann methods is a(n) research topic. Over the lifetime, 12457 publication(s) have been published within this topic receiving 309094 citation(s).

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Journal ArticleDOI: 10.1146/ANNUREV.FLUID.30.1.329
Shiyi Chen1, Gary D. DoolenInstitutions (1)
Abstract: We present an overview of the lattice Boltzmann method (LBM), a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities. The LBM is especially useful for modeling complicated boundary conditions and multiphase interfaces. Recent extensions of this method are described, including simulations of fluid turbulence, suspension flows, and reaction diffusion systems.

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Topics: Lattice Boltzmann methods (63%), Multiphase flow (59%), Lattice gas automaton (58%) ...read more

6,030 Citations


Journal ArticleDOI: 10.1103/PHYSREV.94.511
P. L. Bhatnagar1, E. P. Gross1, Max Krook1Institutions (1)
01 May 1954-Physical Review
Abstract: A kinetic theory approach to collision processes in ionized and neutral gases is presented. This approach 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. It is also possible to satisfy the correct microscopic boundary conditions. The method consists in altering the collision terms in the Boltzmann equation. The modified collision terms are constructed so that each collision conserves particle number, momentum, and energy; other characteristics such as persistence of velocities and angular dependence may be included. The present article illustrates the technique for a simple model involving the assumption of a collision time independent of velocity; this model is applied to the study of small amplitude oscillations of one-component ionized and neutral gases. The initial value problem for unbounded space is solved by performing a Fourier transformation on the space variables and a Laplace transformation on the time variable. For uncharged gases there results the correct adiabatic limiting law for sound-wave propagation at high pressures and, in addition, one obtains a theory of absorption and dispersion of sound for arbitrary pressures. For ionized gases the difference in the nature of the organization in the low-pressure plasma oscillations and in high-pressure sound-type oscillations is studied. Two important cases are distinguished. If the wavelengths of the oscillations are long compared to either the Debye length or the mean free path, a small change in frequency is obtained as the collision frequency varies from zero to infinity. The accompanying absorption is small; it reaches its maximum value when the collision frequency equals the plasma frequency. The second case refers to waves shorter than both the Debye length and the mean free path; these waves are characterized by a very heavy absorption.

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Topics: Inelastic collision (63%), Coulomb collision (63%), Collision frequency (63%) ...read more

5,976 Citations


Journal ArticleDOI: 10.1209/0295-5075/17/6/001
01 Feb 1992-EPL
Abstract: We propose the lattice BGK models, as an alternative to lattice gases or the lattice Boltzmann equation, to obtain an efficient numerical scheme for the simulation of fluid dynamics. With a properly chosen equilibrium distribution, the Navier-Stokes equation is obtained from the kinetic BGK equation at the second-order of approximation. Compared to lattice gases, the present model is noise-free, has Galileian invariance and a velocity-independent pressure. It involves a relaxation parameter that influences the stability of the new scheme. Numerical simulations are shown to confirm the speed of sound and the shear viscosity.

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Topics: Lattice Boltzmann methods (63%), HPP model (62%), Lattice gas automaton (61%) ...read more

4,046 Citations



Open accessJournal ArticleDOI: 10.1103/PHYSREVE.47.1815
Xiaowen Shan1, Hudong Chen1Institutions (1)
01 Mar 1993-Physical Review E
Abstract: A lattice Boltzmann model is developed which has the ability to simulate flows containing multiple phases and components. Each of the components can be immiscible with the others and can have different mass values. The equilibrium state of each component can have a nonideal gas equation of state at a prescribed temperature exhibiting thermodynamic phase transitions. The scheme incorporated in this model is the introduction of an interparticle potential. The dynamical rules in this model are local so it is highly efficient to compute on massively parallel computers. This model has many applications in large-scale numerical simulations of various types of fluid flows.

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Topics: Lattice Boltzmann methods (62%), HPP model (59%), Boltzmann equation (59%) ...read more

2,346 Citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202227
2021741
2020679
2019753
2018772
2017770

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Topic's top 5 most impactful authors

Sauro Succi

255 papers, 11.8K citations

Chang Shu

122 papers, 4.4K citations

Baochang Shi

106 papers, 4.3K citations

Mauro Sbragaglia

68 papers, 1.8K citations

Zhaoli Guo

68 papers, 2.4K citations

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