A finite-particle scheme for three-dimensional gas dynamics

Statistics – Computation

Scientific paper

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Gas Dynamics, Gravitational Collapse, Interstellar Gas, Particle Motion, Three Dimensional Motion, Astrodynamics, Protostars, Reynolds Number, Static Pressure, Stellar Evolution, Stellar Mass Accretion

Scientific paper

A method for simulating three-dimensional gas dynamics by following the motions of representative fluid particles is described. The gas pressure is represented by repulsive forces between neighboring pairs of particles, and the effect of shock dissipation is represented by an artificial-viscosity force between neighboring particles. Tests show that the scheme represents the static pressure and the oscillation period of an enclosed gas sphere with an accuracy of about 5% for 100 particles, and it reproduces the Jeans criterion for spherical gravitational collapse with an accuracy of about 20%. It also simulates the formation of accretion disks as thin as 10 percent of the diameter, with an effective Reynolds number due to artificial viscosity of about 50.

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