Matrix lattice Boltzmann reloaded [PDF]
, 2011 The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new ...
Asinari, P. +11 more
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Direct numerical simulation of complex viscoelastic flows via fast lattice-Boltzmann solution of the Fokker–Planck equation [PDF]
, 2013 Micro–macro simulations of polymeric solutions rely on the coupling between macroscopic conservation equations for the fluid flow and stochastic differential equations for kinetic viscoelastic models at the microscopic scale.
Izquierdo, S. +6 more
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Droplet collision simulation by multi-speed lattice Boltzmann method [PDF]
, 2011 Realization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices.
Kai H. Luo +8 more
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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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Lattice Boltzmann method for direct numerical simulation of turbulent flows [PDF]
, 2010 We present three-dimensional numerical simulations (DNS) of the Kida vortex flow, a prototypical turbulent flow, using a novel high-order lattice Boltzmann model.
A. G. TOMBOULIDES +11 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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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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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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A thermal lattice Boltzmann model for micro/nano-flows [PDF]
, 2008 The dynamic behavior of charged micro and nanofluids plays a crucial role in a large variety of industrial and biological processes. Such dynamic behavior is characterized by the simultaneous occurrence of several competing mechanisms, such as ...
Emerson, David +11 more
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