Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Ansumali, S."'
The hydrodynamic limit of a discrete kinetic equation is intrinsically connected with the symmetry of the lattices used in construction of a discrete velocity model. On mixed lattices composed of standard lattices the sixth-order (and higher) moment
Externí odkaz:
http://arxiv.org/abs/2409.05114
Publikováno v:
In Computers and Fluids 15 June 2023 259
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2020 Jul 01. 378(2175), 1-2.
Externí odkaz:
https://www.jstor.org/stable/27100981
Autor:
Karlin, I. V., Ansumali, S.
Publikováno v:
Phys. Rev. E 76, 025701(R) (2007) (4 pages)
Is it possible to solve Boltzmann-type kinetic equations using only a small number of particles velocities? We introduce a novel techniques of solving kinetic equations with (arbitrarily) large number of particle velocities using only a lattice Boltz
Externí odkaz:
http://arxiv.org/abs/cond-mat/0703437
Publikováno v:
Phys. Rev. Lett. 98, 124502 (2007)
Exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at non-vanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments w
Externí odkaz:
http://arxiv.org/abs/cond-mat/0703440
Autor:
Ansumali, S., Arcidiacono, S., Chikatamarla, S., Prasianakis, N. I., Gorban, A. N., Karlin, I. V.
Publikováno v:
Eur. Phys. J. B 56, 135-139 (2007)
A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is developed. Latti
Externí odkaz:
http://arxiv.org/abs/cond-mat/0507601
Autor:
Ansumali, S., Karlin, I. V.
Publikováno v:
Phys. Rev. Lett 95, 260605 (2005)
The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the Boltzmann equation
Externí odkaz:
http://arxiv.org/abs/cond-mat/0507295
A minimal kinetic model is used to study analytically and numerically flows at a micrometer scale. Using the lid-driven microcavity as an illustrative example, the interplay between kinetics and hydrodynamics is quantitatively visualized. The validit
Externí odkaz:
http://arxiv.org/abs/cond-mat/0502018
Publikováno v:
Physica A 359, 289-305 (2006)
A new method for the computation of flows at the micrometer scale is presented. It is based on the recently introduced minimal entropic kinetic models. Both the thermal and isothermal families of minimal models are presented, and the simplest isother
Externí odkaz:
http://arxiv.org/abs/cond-mat/0412555
Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version permits to
Externí odkaz:
http://arxiv.org/abs/cond-mat/0306003