Results 271 to 280 of about 10,759 (309)

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
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The Lattice Boltzmann equation

Contemporary Physics, 2018
Fluid flow is both complex and ubiquitous. Every breath we take represents such a flow of matter.
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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
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Convergence of a lattice model of the boltzmann equation

Letters in Mathematical Physics, 1979
It is shown that the solutions of a (spatially) discrete model of the Boltzmann equation converge in a weak sense as the lattice spacing approaches zero. The method follows a compactness argument of Arkeryd.
Greenberg, William, Voigt, Jurgen, Zweifel, P. F.   +2 more
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A Stability Notion for Lattice Boltzmann Equations

SIAM Journal on Scientific Computing, 2006
Lattice Boltzmann equations are usually constructed to satisfy some physical requirements such as Galilean invariance and isotropy, to possess a velocity-independent pressure and no compressible effects, and so on. In this paper, a stability requirement is introduced as a new criterion for the constructions.
Mapundi K. Banda, W. A. Yong, Axel Klar
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The lattice Boltzmann equation on irregular lattices

Journal of Statistical Physics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nannelli, Francesca, Succi, Sauro
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The Lattice Boltzmann Equation

2016
After reading this chapter, you will know the basics of the lattice Boltzmann method, how it can be used to simulate fluids, and how to implement it in code. You will have insight into the derivation of the lattice Boltzmann equation, having seen how the continuous Boltzmann equation is discretised in velocity space through Hermite series expansion ...
Timm Krüger, Halim Kusumaatmaja, Alexandr Kuzmin, Orest Shardt, Goncalo Silva, Erlend Magnus Viggen   +5 more
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A Fully Implicit Method for Lattice Boltzmann Equations

SIAM Journal on Scientific Computing, 2015
Summary: Existing approaches for solving the lattice Boltzmann equations with finite difference methods are explicit and semi-implicit; both have certain stability constraints on the time step size. In this work, a fully implicit second-order finite difference scheme is developed. We focus on a parallel, highly scalable, Newton-Krylov-RAS algorithm for
Jizu Huang, Chao Yang 0002, Xiao-Chuan Cai   +2 more
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A lattice Boltzmann model for the Navier-Stokes equation

Microprocessors and Microsystems, 2023
Abstract The lattice Boltzmann model is a vital numerical calculation tool, which has become a useful solution to fluid problems because of the limitations of the Navier-Stokes equation and other macroscopic models in solving such problems. Here, the effectiveness of this model in the nearly incompressible Navier-Stokes equation is investigated as ...
Wenchao Xu, Guangwu Yan
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A lattice Boltzmann model for the Burgers–Fisher equation

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010
A lattice Boltzmann model is developed for the one- and two-dimensional Burgers-Fisher equation based on the method of the higher-order moment of equilibrium distribution functions and a series of partial differential equations in different time scales. In order to obtain the two-dimensional Burgers-Fisher equation, vector sigma(j) has been used.
Zhang, Jianying, Yan, Guangwu
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