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

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

1993-03-11

arxiv.org/abs/comp-gas/9303003v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

27 pages, LaTeX, submitted to Physics of Fluids A

Scientific paper

10.1063/1.868296

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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