Comparison of spectral method and lattice Boltzmann simulations of two-dimensional hydrodynamics

Journal Article · Mon Feb 28 23:00:00 EST 1994 · Physics of Fluids; (United States)

DOI:https://doi.org/10.1063/1.868296· OSTI ID:6644848

Martinez, D O; Matthaeus, W H; Chen, S ^[1]; Montgomery, D C ^[2]

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1. Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)
2. Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755 (United States)

Numerical solutions of the two-dimensional Navier--Stokes equations are presented 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.

• OSTI ID: 6644848
• Journal Information: Physics of Fluids; (United States), Journal Name: Physics of Fluids; (United States) Vol. 6:3; ISSN PHFLE6; ISSN 1070-6631
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
DIFFERENTIAL EQUATIONS
ENERGY SPECTRA
EQUATIONS
EQUATIONS OF STATE
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
INCOMPRESSIBLE FLOW
MECHANICS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SPECTRA
TWO-DIMENSIONAL CALCULATIONS