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Accelerated Lattice Boltzmann Method
2014The 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, 2011It 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
2021Lattice 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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Simplified lattice Boltzmann method for non‐Newtonian power‐law fluid flows
International Journal for Numerical Methods in Fluids, 2019In this paper, we present a simplified lattice Boltzmann method for non‐Newtonian power‐law fluid flows. The new method adopts the predictor‐corrector scheme and reconstructs solutions to the macroscopic equations recovered from the lattice Boltzmann ...
Zhen Chen, C. Shu
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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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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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A time-reversal lattice Boltzmann method
Journal of Computational Physics, 2011In 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.
Vergnault, E. +2 more
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Lattice Boltzmann method for adiabatic acoustics
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011The 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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Quantum algorithm for the advection–diffusion equation simulated with the lattice Boltzmann method
Quantum Information Processing, 2021L. Budinski
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A lattice Boltzmann method for simulating viscoelastic drops
The Physics of Fluids, 2019We report some numerical simulations of multiphase viscoelastic fluids based on an algorithm that employs a diffusive-interface lattice Boltzmann method together with a lattice advection-diffusion scheme, the former used to model the macroscopic ...
Di Wang, D. Tan, N. Phan-Thien
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Lattice Boltzmann method on quadtree grids
Physical Review E, 2011A lattice Boltzmann method on nonuniform quadtree grids is proposed. Our method employs the interpolation-supplemented lattice Boltzmann model. The advantages of the quadtree grid are preserved by using linear interpolation instead of quadratic interpolation to complete the streaming step in the lattice Boltzmann method.
Yu, Chen +3 more
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