Statistics – Applications
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992aas...180.4307k&link_type=abstract
American Astronomical Society, 180th AAS Meeting, #43.07; Bulletin of the American Astronomical Society, Vol. 24, p.797
Statistics
Applications
Scientific paper
A lattice gas is a cellular automaton computer model which simulates fluid flow at the level of a highly simplified molecular dynamics. The method uses only integers, contains no round-off error, numerical diffusion, or dispersion, maintains exact conservation, and can be extremely efficient on computers with massively parallel architectures. Previous work had indicated that lattice gases give accurate flow simulations, but only for incompressible flows, because of departures from Galilean invariance which grows rapidly with Mach number, making them unattractive for many astrophysical applications. We demonstrate the existence of a nonlinear effect which restores approximate Galilean invariance in high-speed lattice gas hydrodynamic models, allowing the simulation of supersonic flows. Calculations of a decaying two-dimensional shear wave and the Riemann shock tube problem are presented, using a lattice gas with 25 microscopic velocities. Errors are less than a few percent for Mach numbers less than two. A lattice gas with a larger number of velocities is required for higher Mach numbers.
Kornreich Paul Jacob
Scalo John
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