Numerical Simulations of Standing Shocks in Accretion Flows around Black Holes: A Comparative Study

Details Numerical Simulations of Standing Shocks in Accretion Flows around Black Holes: A Comparative Study Numerical Simulations of Standing Shocks in Accretion Flows around Black Holes: A Comparative Study

1996-05-20

arxiv.org/abs/astro-ph/9605116v1

Astronomy and Astrophysics

Astrophysics

ApJ accepted, 16 pages with 7 figures, using aaspp4.sty available upon request to ryu@sirius.chungnam.ac.kr or from http://a

Scientific paper

10.1086/177877

We compare the results of numerical simulations of thin and quasi-spherical (thick) accretion flows with existing analytical solutions. We use a Lagrangian code based on the Smooth Particle Hydrodynamics (SPH) scheme and an Eulerian finite difference code based on the Total Variation Diminishing (TVD) scheme. In one-dimensional thin flows, the results of the simulations, with or without shocks, agree very well with each other and with analytical solutions. In two-dimensional thick flows, the general features, namely the locations and strengths of centrifugal and turbulent pressure supported shocks, centrifugal barriers, and the funnel walls which are expected from analytical models, agree very well, though the details vary. Generally speaking, the locations of the shocks may be better obtained by SPH since the angular momentum is strictly preserved in SPH, but the shocks themselves are better resolved by TVD. The agreement of these code test results with analytical solutions provides us with confidence to apply these codes to more complex problems which we will discuss elsewhere.

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