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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.
F. Boesch, I.V. Karlin
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Lattice Boltzmann equation hydrodynamics
Physical Review E, 2001By inserting position and time dependent "source" or "forcing" terms into the microscopic evolution equation of a lattice Boltzmann fluid and treating the generalized scheme within the usual Chapman-Enskog methodology, we show that the emergent dynamics of the lattice fluid may be usefully transformed.
I, Halliday +4 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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Axisymmetric lattice Boltzmann method
Physical Review E, 2008A 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, 2010A 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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EPL (Europhysics Letters), 2015
Based on the past twenty-five years of lattice Boltzmann research, we venture into a far-flung prediction for the next twenty-five, with past and future privileged over the present state of affairs.
Succi, Sauro
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Based on the past twenty-five years of lattice Boltzmann research, we venture into a far-flung prediction for the next twenty-five, with past and future privileged over the present state of affairs.
Succi, Sauro
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Lattice Boltzmann Stokesian dynamics
Physical Review E, 2015Lattice Boltzmann Stokesian dynamics (LBSD) is presented for simulation of particle suspension in Stokes flows. This method is developed from Stokesian dynamics (SD) with resistance and mobility matrices calculated using the time-independent lattice Boltzmann algorithm (TILBA).
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Lattice Boltzmann spray-like fluids
EPL (Europhysics Letters), 2008The effect of the competition between short-range attraction and mid-range repulsion in lattice Boltzmann models of single-component non-ideal fluids is investigated. It is shown that the presence of repulsive interactions gives rise to long-lived metastable states in the form of multi-droplet spray-like density configurations, whose size can be ...
G. FALCUCCI +4 more
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