Results 281 to 290 of about 10,759 (309)

The lattice Boltzmann equation for turbulence

Nuclear Physics B - Proceedings Supplements, 1990
Abstract In this paper we shall review some of the most recent advances in the theory and applications of the Lattice Boltzmann Equation for fluid dynamics.
Roberto Benzi, Sauro Succi, Massimo Vergassola   +2 more
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Lattice Boltzmann equation method for the Cahn-Hilliard equation

Physical Review E, 2015
In this paper a lattice Boltzmann equation (LBE) method is designed that is different from the previous LBE for the Cahn-Hilliard equation (CHE). The starting point of the present CHE LBE model is from the kinetic theory and the work of Lee and Liu [T. Lee and L. Liu, J. Comput. Phys.
Lin, Zheng, Song, Zheng, Qinglan, Zhai
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A 1D lattice-Boltzmann model with energy equation

Wuhan University Journal of Natural Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zou, Xiufen, Li, Yuanxiang, Nie, Sixiang
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A lattice Boltzmann equation for diffusion

Journal of Statistical Physics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CFD with the Lattice Boltzmann Equation

1990
We review recent developments of the Lattice Boltzmann Equation method (LBE) for incompressible hydrodynamics. Modifications of the discrete Boltzmann equation for a lattice gas to improve its efficiency as a numerical method are discussed. Estimations of the minimum lattice size necessary for high Reynolds number simulations are given, showing that ...
F. J. Higuera, S. Succi, R. Benzi
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Entropic lattice Boltzmann model for Burgers's equation

Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2004
Entropic lattice Boltzmann models are discrete-velocity models of hydrodynamics that possess a Lyapunov function. This feature makes them useful as nonlinearly stable numerical methods for integrating hydrodynamic equations. Over the last few years, such models have been successfully developed for the Navier-Stokes equations in two and three dimensions,
Boghosian, Bruce M., Love, Peter John, Yepez, Jeffrey   +2 more
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Analysis of the Lattice Boltzmann Equation

2016
After reading this chapter, you will be familiar with many in-depth aspects of the lattice Boltzmann method. You will have a detailed understanding of how the Chapman-Enskog analysis can be used to determine how the lattice Boltzmann equation and its variations behave on the macroscopic Navier-Stokes level.
Timm Krüger, Halim Kusumaatmaja, Alexandr Kuzmin, Orest Shardt, Goncalo Silva, Erlend Magnus Viggen   +5 more
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Lattice Boltzmann Model for Nonlinear Heat Equations

2012
In this paper, a lattice Boltzmann scheme with an amending function for the nonlinear heat equations with the form ∂tφ=α∇2φ+ψ(φ) which directly to solve some important nonlinear equations, including Fisher equation, Newell-Whitehead equation and FitzHugh-Nagumo equation is proposed .
Qiaojie Li, Zhoushun Zheng, Shuang Wang, Jiankang Liu   +3 more
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Lattice Boltzmann equation for relativistic quantum mechanics

Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002
Relativistic versions of the quantum lattice Boltzmann equation are discussed. It is shown that the inclusion of nonlinear interactions requires the standard collision operator to be replaced by a pair of dynamic fields coupling to the relativistic wave function in a way which can be described by a multicomponent complex lattice Boltzmann equation.
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Out of Legoland: Geoflexible Lattice Boltzmann Equations

2001
Abstract The LBEs discussed to this point lag behind “best in class” Computational Fluid Dynamics (CFD) methods for the simulation of fluid flows in realistically complicated geometries, such as those presented by most industrial devices. This traces back to the constraint of working along the light-cones of a uniform spacetime.
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