Abstract
We consider the flow of supersonic homogeneous gas past a supersonic spherical source. This problem provides a gas-dynamic model of the interaction of interstellar wind with solar wind, and is thus also of independent interest. It is solved using an explicit through divergence scheme of third-order approximation. The analysis focuses on formation and stability of the structure of discontinuity surfaces and convergence to the stationary solution. The results are compared qualitatively and quantitatively with solutions obtained by other methods.
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References
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Yu. N. Sadkov, “A third-order accurate scheme for quasilinear hyperbolic systems,” in: Mathematical Modeling and Numerical Methods [in Russian], Izd. MGU, Moscow (1987).
Additional information
Translated from Chislennye Metody v Matematicheskoi Fizike, Published by Moscow University, Moscow, 1996, pp. 125–128.
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Sadkov, Y.N. Nonstationary interaction of supersonic inviscid gas flows. Comput Math Model 8, 161–164 (1997). https://doi.org/10.1007/BF02405167
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DOI: https://doi.org/10.1007/BF02405167