Application of Molecular Hydrodynamics to Astrophysical Flows. II---Unconditional Stability and Galilean Invariance---

Details Application of Molecular Hydrodynamics to Astrophysical Flows. II---Unconditional Stability and Galilean Invariance--- Application of Molecular Hydrodynamics to Astrophysical Flows. II---Unconditional Stability and Galilean Invariance---

Aug 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008pthph.120..347m&link_type=abstract

Progress of Theoretical Physics, Vol. 120, No. 2, pp. 347-369

Physics

Scientific paper

We discuss the physical background of the molecular hydrodynamics method (MH), a new computational fluid dynamics (CFD) technique that we proposed recently, and further test it to simulate isothermal flows including those of zero temperature gas. The problems considered are a shock tube of an isothermal gas, a rotating cone test, a box shear flow test, and a Keplerian disc. We demonstrate that the MH is unconditionally stable in spite of the fact that the scheme is time-explicit. Because of this, we may choose any time step without losing stability. The only penalty for using a longer time step is a gradual degradation of the quality of the solution.

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