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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.
Chikatamarla S, Karlin I
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Lattice Boltzmann method for moving boundaries
Journal of Computational Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lallemand, Pierre, Luo, Li-Shi
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Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases
Physical Review E, 2000In 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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Optimal preconditioning of lattice Boltzmann methods
Journal of Computational Physics, 2009A preconditioning technique to accelerate the simulation of steady-state problems using the single-relaxation-time (SRT) lattice Boltzmann (LB) method was first proposed by Guo et al. [Z. Guo, T. Zhao, Y. Shi, Preconditioned lattice-Boltzmann method for steady flows, Phys. Rev. E 70 (2004) 066706-1]. The key idea in this preconditioner is to modify the
Salvador Izquierdo, Norberto Fueyo
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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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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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LATTICE BOLTZMANN METHOD ON NONUNIFORM MESH
International Journal of Computational Engineering Science, 2002A lattice Boltzmann method on nonuniform mesh is developed for the simulation of incompressible flows. The computation mesh is uncoupled from the lattice. The particle distribution function on the mesh is obtained using the Lagrange interpolation technique at each time step. Comparison with the finite difference solutions for the two-dimensional driven
M. Cheng, Kin Chew Hung
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Axisymmetric lattice Boltzmann method revised
Physical Review E, 2011A 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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On the lattice Boltzmann method for phonon transport
Journal of Computational Physics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aydin Nabovati +2 more
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Compressible Lattice Boltzmann Method and Applications
2010Lattice Boltzmann Method (LBM) is a novel numerical method for flows simulations. Compared with classic methods of Finite Difference Method, Finite Volume Method and Finite Element Method, LBM has numerous advantages, including inherent parallelization and simplicity of boundary condition treatment.
Weibing Feng +5 more
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