Comparison of Spectral Method and Lattice Boltzmann Simulations of Two-Dimensional Hydrodynamics

Astronomy; Dartmouth College); D.C.Montgomery (Department of Physics; D.O.Martinez; Los Alamos); S. Chen (CNLS; Theoretical Division; University of Delaware); W.H.Matthaeus (Bartol Research Institute

arxiv: comp-gas/9303003 · v1 · submitted 1993-03-11 · comp-gas · nlin.CG

Comparison of Spectral Method and Lattice Boltzmann Simulations of Two-Dimensional Hydrodynamics

D.O.Martinez , W.H.Matthaeus (Bartol Research Institute , University of Delaware) , S. Chen (CNLS , Theoretical Division , Los Alamos) , D.C.Montgomery (Department of Physics , Astronomy

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Dartmouth College)

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classification comp-gas nlin.CG

keywords boltzmannequationequationslatticenavier-stokesschemesolutionsspectral

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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.

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Comparison of Spectral Method and Lattice Boltzmann Simulations of Two-Dimensional Hydrodynamics

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