Abstract
We present the results of direct high resolution numerical modelling of instability of contact discontinuity, separating two hypersonic spatial or plane sources. We found that the used numerical scheme allows to see instability in steady state inviscid non heatconductive flow. The instability development significantly depends on grid resolution, but, at the same, it is in good accordance with the linear theory predictions. When a real dissipative process is taken into account (namely, non-linear thermal conduction), the dependents of unstable solution on the grid resolution dissapears. The last makes it possible to study the physical instability correctly and, in particular, to determine the instability type. The influence of CD curvature on its stability is also discussed which allows to extend the application of the results on wide range astrophysical objects.
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References
Belov, N.A.: 1997a, Fluid Dyn. 32, 219.
Belov, N.A.: 1997b, Fluid Dyn. 32, 780.
Belov, N.A. and Myasnikov, A.V.: 1999, Fluid Dyn. 34, 379.
Chalov, S.V.: 1996, Astron.Astrophys. 308, 995.
Gogunov, S.K.: 1959, Mat.Sbornik 47, 271.
Godunov, S.K., Zabrodine, A.V., Ivanov, M.Ya, Kraiko, A.N. and Prokopov, G.P.: 1979, Resolution Numerique des Problems Multidimensionnels de la Dynamique des Gaz, Editions MIR, Moscow.
Kulikovsky, A.G. and Shikina, I.S.: 1977, Fluid Dyn. 12, 679.
Lebedev, M.G. and Myasnikov, A.V.: 1988, in: Paskonov and Roslyakov (eds.), Numerical Methods in Aerodynamics, Moscow State University Press, Moscow, p.
Lebedev, M.G. and Myasnikov, A.V.: 1990, Fluid Dyn. 25, 629.
Myasnikov, A.V. and Zhekov, S.A.: 1991, Astrophys.Space Sci. 184, 287.
Myasnikov, A.V. and Zhekov S.A.: 1993, Mon.Not.R.Astron.Soc. 260, 221.
Myasnikov, A.V. and Zhekov, S.A.: 1998, Mon.Not.R.Astron.Soc. 300, 686.
Myasnikov, A.V., Belov, N.A. and Zhekov, S.A.: 1997, IPM RAS Preprint No 582.
Ruderman, M.S.: 2000, Astrophys.Space Sci., this issue.
Sawada, K.: 1991, AIAA paper 1536, 1.
Stevens, I.R., Blondin, J.M. and Pollock, A.M.T.: 1992, Astrophys.J. 386, 265.
Shikina, I.S.: 1987, Fluid Dyn. 22, 173.
Zhekov, S.A., Palla, F. and Myasnikov, A.V.: 1994, Mon.Not.R.Astron.Soc. 271, 667.
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Myasnikov, A., Belov, N. On the Stability of Contact Discontinuity Separating Two Hypersonic Sources. Astrophysics and Space Science 274, 321–326 (2000). https://doi.org/10.1023/A:1026589132584
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DOI: https://doi.org/10.1023/A:1026589132584