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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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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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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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Accelerated Lattice Boltzmann Method

2014
The LBM is a powerful numerical fluid solver especially in the areas of multicomponent and multiphase mixtures. However the LBM uses the particle velocity for the determination of the model time step required by the Courant-Friedrichs-Lewy (CFL) stability condition.
Hassan Farhat   +2 more
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Comment on “Rectangular lattice Boltzmann method”

Physical Review E, 2011
It is shown both analytically and numerically that the suggested lattice Boltzmann model on rectangular grids [J. G. Zhou, Phys. Rev. E 81, 026705 (2010)] leads to anisotropic dissipation of fluid momentum and thus does not recover the Navier-Stokes equations. Hence, it cannot be used for the simulation of hydrodynamics.
Shyam, Chikatamarla, Ilya, Karlin
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Entropic Lattice Boltzmann Method

2021
Lattice Boltzmann methods are kinetic descriptions of fluid flow that are efficiently implemented through a stream and collide approach. The collision operation is typically an approximation of the microscopic physics, with the BGK linear approximation a widely used choice. It has a wide range of application in computational fluid dynamics.
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Lattice Boltzmann Method

2004
The lattice Boltzmann method is a discrete computational method based upon the lattice gas automata — a simplified, fictitious molecular model. It consists of three basic tasks: lattice Boltzmann equation, lattice pattern and local equilibrium distribution function. The former two are standard, which is the same for fluid flows.
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