2000
DOI: 10.1046/j.1365-8711.2000.03199.x
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Towards steady-state solutions for supersonic wind accretion on to gravitating objects

Abstract: We discuss the results of a numerical simulation of the hydrodynamic Bondi–Hoyle accretion obtained on the basis of a high‐resolution numerical scheme with the proper entropy correction procedure necessary to avoid the ‘weak’ non‐monotonicity intrinsic in these schemes. Both the axisymmetric and plane cases are considered. The axisymmetric accretion problem turns out to have steady‐state solutions for all determining parameters. Steady‐state solutions for the plane accretion are found in certain cases even for… Show more

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Cited by 52 publications
(43 citation statements)
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“…We have modified the original conservative form of equations in cylindrical coordinates to obtain a system similar to the system of gas-dynamical equations in Cartesian coordinates. This approach permits us to treat the flow near the axis more accurately (see, e.g., Pogorelov et al 2000). The corresponding equations are:…”
Section: Gas-dynamical Equationsmentioning
confidence: 99%
“…We have modified the original conservative form of equations in cylindrical coordinates to obtain a system similar to the system of gas-dynamical equations in Cartesian coordinates. This approach permits us to treat the flow near the axis more accurately (see, e.g., Pogorelov et al 2000). The corresponding equations are:…”
Section: Gas-dynamical Equationsmentioning
confidence: 99%
“…The instability observed in numerical simulations seems very weak in 3-D according to Ruffert (1996), whereas it is violent in 2-D (Ishii et al 1993;Shima et al 1998). Pogorelov et al (2000) discussed the possible responsability of the numerical procedure in producing the instability. With a different approach, the instability of the shocked Bondi flow described in this paper could contribute to guide our physical understanding of more complex flows involving isothermal shocks.…”
Section: Introductionmentioning
confidence: 99%
“…However, authors of published papers do not compare their results. For example, different geometrical forms of the bow shock splitting (appearance of different shock branches) were obtained by Myasnikov (1997), Ratkiewicz et al (1998) and Pogorelov and Matsuda (2000) in the simplest axi-symmetric MHD problem (B ∞ ||V ∞ ) and at the same values of boundary conditions. However, numerical results of these authors were not compared neither each other nor with the results by Baranov and Zaitsev (1995) who did not obtain the bow shock splitting.…”
Section: Some Critical Remarksmentioning
confidence: 99%