Discretization of the velocity space in solution of the Boltzmann equation

Details Discretization of the velocity space in solution of the Boltzmann equation Discretization of the velocity space in solution of the Boltzmann equation

1997-12-10

arxiv.org/abs/comp-gas/9712001v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

Scientific paper

10.1103/PhysRevLett.80.65

We point out an equivalence between the discrete velocity method of solving the Boltzmann equation, of which the lattice Boltzmann equation method is a special example, and the approximations to the Boltzmann equation by a Hermite polynomial expansion. Discretizing the Boltzmann equation with a BGK collision term at the velocities that correspond to the nodes of a Hermite quadrature is shown to be equivalent to truncating the Hermite expansion of the distribution function to the corresponding order. The truncated part of the distribution has no contribution to the moments of low orders and is negligible at small Mach numbers. Higher order approximations to the Boltzmann equation can be achieved by using more velocities in the quadrature.

Affiliated with

Also associated with

No associations

Rating

Discretization of the velocity space in solution of the Boltzmann equation 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 Discretization of the velocity space in solution of the Boltzmann equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discretization of the velocity space in solution of the Boltzmann equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527229