Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy

Details Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy

2007-03-16

arxiv.org/abs/cond-mat/0703440v1

Phys. Rev. Lett. 98, 124502 (2007)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figures, to appear in PRL. Published version is shortened to meet the page limit

Scientific paper

10.1103/PhysRevLett.98.124502

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 with boundary conditions for populations enables to derive closed-form solutions for all higher-order moments. Convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.

Affiliated with

Also associated with

No associations

Rating

Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-679539