COMPARISON OF SPECTRAL METHOD AND LATTICE BOLTZMANN SIMULATIONS OF 2-DIMENSIONAL HYDRODYNAMICS

Authors
MARTINEZ DO MATTHAEUS WH CHEN S MONTGOMERY DC
Citation
Do. Martinez et al., COMPARISON OF SPECTRAL METHOD AND LATTICE BOLTZMANN SIMULATIONS OF 2-DIMENSIONAL HYDRODYNAMICS, Physics of fluids, 6(3), 1994, pp. 1285-1298
Citations number
43
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
Physics of fluids → ACNP
ISSN journal
10706631
Volume
6
Issue
3
Year of publication
1994
Pages
1285 - 1298
Database
ISI
SICI code
1070-6631(1994)6:3<1285:COSMAL>2.0.ZU;2-S
Abstract
Numerical solutions of the two-dimensional Navier-Stokes equations are presented by two methods; spectral and the novel lattice Boltzmann eq uation (LBE) scheme. Very good agreement is found for global quantitie s as well as energy spectra. The LBE scheme is, indeed, providing reas onably accurate solutions of the Navier-Stokes equations with an isoth ermal equation of state, in the nearly incompressible limit. Relaxatio n to a previously reported ''sinh-Poisson'' state is also observed for both runs.