Comparison of Spectral Method and Lattice Boltzmann Simulations of Two-Dimensional Hydrodynamics
comp-gas
2009-10-22 v1 Cellular Automata and Lattice Gases
Abstract
We present numerical solutions of the two-dimensional Navier-Stokes equations by two methods; spectral and the novel Lattice Boltzmann Equation (LBE) scheme. Very good agreement is found for global quantities as well as energy spectra. The LBE scheme is, indeed, providing reasonably accurate solutions of the Navier-Stokes equations with an isothermal equation of state, in the nearly incompressible limit. Relaxation to a previously reported ``sinh-Poisson'' state is also observed for both runs.
Keywords
Cite
@article{arxiv.comp-gas/9303003,
title = {Comparison of Spectral Method and Lattice Boltzmann Simulations of Two-Dimensional Hydrodynamics},
author = {D. O. Martinez and W. H. Matthaeus and S. Chen and D. C. Montgomery},
journal= {arXiv preprint arXiv:comp-gas/9303003},
year = {2009}
}
Comments
27 pages, LaTeX, submitted to Physics of Fluids A