Convergence of Convective-Diffusive Lattice Boltzmann Methods

Details Convergence of Convective-Diffusive Lattice Boltzmann Methods Convergence of Convective-Diffusive Lattice Boltzmann Methods

1993-05-25

arxiv.org/abs/comp-gas/9305002v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

39 pages; LaTeX and PsFig; 400kb uuencoded/compressed/tarred PostScript figures; submitted to the SIAM Journal on Numerical An

Scientific paper

Lattice Boltzmann methods are numerical schemes derived as a kinetic approximation of an underlying lattice gas. A numerical convergence theory for nonlinear convective-diffusive lattice Boltzmann methods is established. Convergence, consistency, and stability are defined through truncated Hilbert expansions. In this setting it is shown that consistency and stability imply convergence. Monotone lattice Boltzmann methods are defined and shown to be stable, hence convergent when consistent. Examples of diffusive and convective-diffusive lattice Boltzmann methods that are both consistent and monotone are presented.

Affiliated with

Also associated with

No associations

Rating

Convergence of Convective-Diffusive Lattice Boltzmann Methods 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 Convergence of Convective-Diffusive Lattice Boltzmann Methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of Convective-Diffusive Lattice Boltzmann Methods will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146824