Stability of astrophysical gas flow. I - Isothermal accretion

Details Stability of astrophysical gas flow. I - Isothermal accretion Stability of astrophysical gas flow. I - Isothermal accretion

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...221..661s&link_type=abstract

Astrophysical Journal, Part 1, vol. 221, Apr. 15, 1978, p. 661-671.

Other

33

Flow Stability, Gas Flow, Isothermal Flow, Stellar Mass Accretion, Computer Techniques, Equilibrium Flow, Hydrodynamic Equations, Lagrange Coordinates, Nonlinear Equations, Numerical Stability, Relaxation Method (Mathematics), Subsonic Flow, Supersonic Flow, Time Dependence, X Ray Sources

Scientific paper

A general numerical scheme is presented that allows a variety of analyses of an arbitrary set of hydrodynamic equations: search for steady states; stability of steady states; nonlinear integration; search for specified nonlinear solutions; stability of nonlinear solutions. The scheme is an extension of the Henyey relaxation method and is especially useful in problems where both numerical stability and mathematical versatility are desired. In particular, if Eulerian equations are used, this approach may be used to investigate the stability of steady flows. As an application, the stability of spherically symmetric, isothermal accretion flows is investigated. It is found that purely subsonic flow is subject both to a global instability and, if the sound speed is approached, to a drift instability. The subsonic-to-supersonic accretion flow is found to be quite stable, including the case with interior standing shock. It is shown that a Lagrangian perturbation analysis is inappropriate for this type of problem, and, in fact, gives the wrong answer for supersonic isothermal accretion.

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