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Wetting and Spreading Behavior of Axisymmetric Compound Droplets on Curved Solid Walls Using Conservative Phase Field Lattice Boltzmann Method. [PDF]
Wang Y, Huang JJ.
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A Lattice Boltzmann Equation for Waves [PDF]
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Yan, GW (reprint author), Jilin Univ, Dept Math, Changchun 130023, Peoples R China. +1 more
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Lattices for the lattice Boltzmann method
Physical Review E, 2009A 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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Exact Lattice Boltzmann Equation
Physical Review Letters, 2013The lattice Boltzmann equation is derived from the Bhatnagar-Gross-Krook kinetic equation using the Euler-Maclaurin integration formula. Unlike previous attempts to connect the lattice Boltzmann method with the kinetic theory, the result is free of any relaxation-type approximation.
Bösch F, Karlin IV
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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
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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
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Theory of the lattice Boltzmann equation: Lattice Boltzmann model for axisymmetric flows
Physical Review E, 2009A lattice Boltzmann equation (LBE) for axisymmetric flows is proposed. The model has some distinct features that distinguish it from existing axisymmetric LBE models. First, it is derived from the Boltzmann equation so that it has a solid physics base and is easy for generalization; second, the model can describe the axial, radial, and azimuthal ...
Zhaoli, Guo +3 more
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Diffusion Lattice Boltzmann Scheme on a Orthorhombic Lattice
Journal of Statistical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
van der Sman, R.G.M., Ernst, M.H.
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The Lattice-Boltzmann Method on Optimal Sampling Lattices
IEEE Transactions on Visualization and Computer Graphics, 2009In this paper, we extend the single relaxation time Lattice-Boltzmann Method (LBM) to the 3D body-centered cubic (BCC) lattice. We show that the D3bQ15 lattice defined by a 15 neighborhood connectivity of the BCC lattice is not only capable of more accurately discretizing the velocity space of the continuous Boltzmann equation as compared to the D3Q15 ...
Usman R. Alim +2 more
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A LATTICE BOLTZMANN FOR DISORDERED FLUIDS
International Journal of Modern Physics B, 2003A variant of the lattice Boltzmann scheme is presented as a mesoscopic model of glassy behavior. A hierarchical density-dependent interaction potential is introduced, which allows the coexistence and competition of multiple density minima. We find that this competition allows to model geometrical frustration which produces disordered patterns with ...
A Lamura, S Succi
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