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Lattices for the lattice Boltzmann method

Physical Review E, 2009
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the construction of lattice Boltzmann models as an approximation to the Boltzmann equation is presented.
Chikatamarla, S.S., Karlin, I.V.
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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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Finite-volume lattice Boltzmann method

Physical Review E, 1999
We present a finite-volume formulation for the lattice Boltzmann method (FVLBM) based on standard bilinear quadrilateral elements in two dimensions. The accuracy of this scheme is demonstrated by comparing the velocity field with the analytical solution of the Navier-Stokes equations for time dependent rotating Couette flow and Taylor vortex flow.
H, Xi, G, Peng, S H, Chou
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Numerical simulation of compressible flows by lattice Boltzmann method

Numerical Heat Transfer, Part A Applications, 2019
In this article, we propose a numerical framework based on multiple relaxation time lattice Boltzmann (LB) model and novel discretization techniques for simulating compressible flows.
Mostafa Safdari Shadloo
semanticscholar   +1 more source

Lattice Boltzmann method for interface capturing

Physical Review E, 2023
Accurately solving phase interface plays a great role in modeling an immiscible multiphase flow system. In this paper, we propose an accurate interface-capturing lattice Boltzmann method from the perspective of the modified Allen-Cahn equation (ACE). The modified ACE is built based on the commonly used conservative formulation via the relation between ...
Hong Liang   +3 more
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Lattice Boltzmann Method Analysis Tool (LBMAT)

Numerical Algorithms, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radek Fučík   +4 more
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Axisymmetric lattice Boltzmann method revised

Physical Review E, 2011
A reformulated lattice Boltzmann model is described for incompressible axisymmetric flows with or without swirling. It is a further development and improvement on the author's axisymmetric lattice Boltzmann method. The main features of the revised scheme are (a) all the macroscopic variables such as velocities are determined in the same formulas as ...
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Efficient lattice Boltzmann method for electrohydrodynamic solid-liquid phase change.

Physical Review E, 2019
Melting in the presence of electrohydrodynamic (EHD) flow driven by the Coulomb force in dielectric phase change material is numerically studied. A model is developed for the EHD flow in the solid-liquid phase change process.
K. Luo   +4 more
semanticscholar   +1 more source

Lattice Boltzmann method for moving boundaries

Journal of Computational Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lallemand, Pierre, Luo, Li-Shi
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