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Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases

Physical Review E, 2000
In this paper a procedure for systematic a priori derivation of the lattice Boltzmann models for nonideal gases from the Enskog equation (the modified Boltzmann equation for dense gases) is presented. This treatment provides a unified theory of lattice Boltzmann models for nonideal gases.
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Lattice Boltzmann equation hydrodynamics

Physical Review E, 2001
By inserting position and time dependent "source" or "forcing" terms into the microscopic evolution equation of a lattice Boltzmann fluid and treating the generalized scheme within the usual Chapman-Enskog methodology, we show that the emergent dynamics of the lattice fluid may be usefully transformed.
I, Halliday   +4 more
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A Lattice Boltzmann Method for Image Denoising

IEEE Transactions on Image Processing, 2009
In this paper, we construct a Lattice Boltzmann scheme to simulate the well known total variation based restoration model, that is, ROF model. The advantages of the Lattice Boltzmann method include the fast computational speed and the easily implemented fully parallel algorithm. A conservative property of the LB method is discussed. The macroscopic PDE
Qianshun Chang, Tong Yang 0001
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Axisymmetric lattice Boltzmann method

Physical Review E, 2008
A lattice Boltzmann method is developed for incompressible axisymmetric flows. Both force and source or sink terms are incorporated into the lattice Boltzmann equation in a natural way, which is consistent in dimension with the lattice Boltzmann equation.
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Rectangular lattice Boltzmann method

Physical Review E, 2010
A set of rectangular lattice Boltzmann methods for fluid flows is developed. It is shown that reformulating local equilibrium distribution functions can result in the rectangular lattice Boltzmann models without the aid of an interpolation for shallow water equations, Navier-Stokes equations, and axisymmetric flow equations.
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Convection-Diffusion Lattice Boltzmann Scheme for Irregular Lattices

Journal of Computational Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van der Sman, R.G.M., Ernst, M.H.
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A time-reversal lattice Boltzmann method

Journal of Computational Physics, 2011
In this paper we address the time-reversed simulation of viscous flows by the lattice Boltzmann method (LB). The theoretical derivation of the reversed LB from the Boltzmann equation is detailed, and the method implemented for weakly compressible flows using the D2Q9 scheme. The implementation of boundary conditions is also discussed.
E. Vergnault   +2 more
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Lattice Boltzmann morphodynamic model

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lattice Boltzmann Stokesian dynamics

Physical Review E, 2015
Lattice Boltzmann Stokesian dynamics (LBSD) is presented for simulation of particle suspension in Stokes flows. This method is developed from Stokesian dynamics (SD) with resistance and mobility matrices calculated using the time-independent lattice Boltzmann algorithm (TILBA).
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The mathematical structure of the lattices of the lattice Boltzmann method

Journal of Computational Science, 2016
Abstract It was shown previously (Shan, 2010) that the lattice weights of the lattice Boltzmann method are the solutions to an optimization problem subjecting to a set of linear equality and inequality constraints. Here, a solution strategy is developed and complete solutions for such optimization problem are obtained in one-, two-, and three ...
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