Results 11 to 20 of about 8,057 (262)
Lattice Boltzmann method for consolidation analysis of saturated clay
Journal of Ocean Engineering and Science, 2019 The lattice Boltzmann method (LBM) has been widely employed in various areas of practical engineering to solve non-linear problems, due to such advantages as the simplicity of programming and the numerical efficiency.
Pyol Kim +3 more
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Kinetic equations for modelling of diffusion processes by lattice Boltzmann method [PDF]
Компьютерные исследования и моделирование, 2017 The system of linear hyperbolic kinetic equations with the relaxation term of Bhatnagar-Gross-Krook type for modelling of linear diffusion processes by the lattice Boltzmann method is considered.
Gerasim Vladimirovich Krivovichev
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General Propagation Lattice Boltzmann Model for the Boussinesq Equation
Entropy, 2022 A general propagation lattice Boltzmann model is used to solve Boussinesq equations. Different local equilibrium distribution functions are selected, and the macroscopic equation is recovered with second order accuracy by means of the Chapman–Enskog ...
Wei Yang, Chunguang Li
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Generalized Boltzmann equation for lattice gas automata [PDF]
Journal of Statistical Physics, 1995 In this paper, for the first time a theory is formulated that predicts velocity and spatial correlations between occupation numbers that occur in lattice gas automata violating semi-detailed balance. Starting from a coupled BBGKY hierarchy for the $n$-particle distribution functions, cluster expansion techniques are used to derive approximate kinetic ...
Bussemaker, H. J. +2 more
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Progress in the understanding of the fluctuating lattice Boltzmann equation [PDF]
Computer Physics Communications, 2009 Conference paper for CCP 2008, submitted to Computer Physics ...
Burkhard Dünweg +2 more
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Lattice Boltzmann-Langevin Equations
, 1993 Intrinsic fluctuations around the solution of the lattice Boltzmann equation are described or modeled by addition of a white Gaussian noise source. For stationary states a fluctuation-dissipation theorem relates the variance of the fluctuations to the linearized Boltzmann collision operator and the pair correlation function.
Dufty, J.W., Ernst, M.H.
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Statistical mechanics of the fluctuating lattice Boltzmann equation [PDF]
Physical Review E, 2007 We propose a new formulation of the fluctuating lattice Boltzmann equation that is consistent with both equilibrium statististical mechanics and fluctuating hydrodynamics. The formalism is based on a generalized lattice-gas model, with each velocity direction occupied by many particles.
Dünweg, B, Schiller, UD, Ladd, AJ
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Journal of Applied Mathematics, 2012 An explicit finite difference scheme for one-dimensional Burgers equation is derived from the lattice Boltzmann method. The system of the lattice Boltzmann equations for the distribution of the fictitious particles is rewritten as a three-level finite ...
Qiaojie Li +3 more
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A Truly Second-Order and Unconditionally Stable Thermal Lattice Boltzmann Method
Applied Sciences, 2017 An unconditionally stable thermal lattice Boltzmann method (USTLBM) is proposed in this paper for simulating incompressible thermal flows. In USTLBM, solutions to the macroscopic governing equations that are recovered from lattice Boltzmann equation (LBE)
Zhen Chen, Chang Shu, Danielle S. Tan
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Fluctuating lattice Boltzmann method for the diffusion equation [PDF]
Physical Review E, 2016 We derive a fluctuating lattice Boltzmann method for the diffusion equation. The derivation removes several shortcomings of previous derivations for fluctuating lattice Boltzmann methods for hydrodynamic systems. The comparative simplicity of this diffusive system highlights the basic features of this first exact derivation of a fluctuating lattice ...
Wagner, Alexander J., Strand, Kyle
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