Results 281 to 290 of about 20,086 (312)

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, Orestis Malaspinas, Pierre Sagaut   +2 more
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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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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, Runlong Wang, Yikun Wei, Jiangrong Xu   +3 more
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Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

Physical Review E, 1997
In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space are discussed in detail.
Xiaoyi He, Li-Shi Luo
openaire   +1 more source

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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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 adiabatic acoustics

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011
The lattice Boltzmann method (LBM) has been proved to be a useful tool in many areas of computational fluid dynamics, including computational aero-acoustics (CAA). However, for historical reasons, its applications in CAA have been largely restricted to simulations of isothermal (Newtonian) sound waves.
Li, Yanbing, Shan, Xiaowen
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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.
Chikatamarla S, Karlin I
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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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