Abstract
A number of problems associated with the nonuniqueness of numerical solutions of the Navier–Stokes equations used for simulating processes of a hypersonic real gas flow past blunt bodies are considered. The processes of evolution of a stationary pattern of flow perturbed by a single pulse at an initial time instant are considered at different values of the governing parameters of the problem. The instability of the bifurcation type resulting in transition of the nonstationary process from one branch of solution to another and the attainment of a stationary regime is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
G. A. Tarnavskii and S. I. Shpak, Inzh.-Fiz. Zh., 73, No. 2, 354-357 (2000).
G. A. Tarnavskii and S. I. Shpak, Zh. Tekh. Fiz., 70, Issue 3, 82-86 (2000).
V. M. Kovenya, G. A. Tarnavskii, and S. G. Chornyi, Application of the Method of Splitting in Problems of Aerodynamics [in Russian], Novosibirsk (1990).
M. K. Lebedeva, A. E. Medvedev, and G. A. Tarnavskii, Avtometriya, No. 5, 76-83 (1994).
G. A. Tarnavskii and S. I. Shpak, in: Modeling in Mechanics [in Russian], Krasnoyarsk (2000). Deposited at VINITI 06.06.2000, No. 1625, pp. 131-156.
G. I. Mishin, A. P. Bedin, N. I. Yushchenkova, G. E. Skvortsov, and A. P. Ryazin, Zh. Tekh. Fiz., 51, No. 11, 2315-2324 (1981).
L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 6, Hydrodynamics [in Russian], Moscow (1986).
V. I. Karpman, Nonlinear Waves in Dispersing Media [in Russian], Moscow (1973).
M. Ya. Ivanov and L. V. Terent'eva, Prikl. Mat. Mekh., 63, Issue 2, 258-266 (1999).
R. L. Eggers and M. J. Lewis, Aircraft, 35, No. 4, 647-649 (1998).
V. M. Goloviznin and A. A. Samarskii, Mat. Modelir., 10, No. 1, 86-114 (1998).
S. K. Godunov, Reminiscences about Difference Schemes [in Russian], Novosibirsk (1997).
X. Zhong, Comput. Phys., 144, 662-709 (1998).
Yu. P. Golovachev and N. V. Leont'eva, Zh. Vychisl. Mat. Mat. Fiz., 40, No. 4, 638-646 (2000).
S. V. Kabin, I. V. Kolin, V. K. Svyatodukh, V. L. Sukhanov, and D. V. Shukhovtsov, Uch. Zap. TsAGI, 30, Nos. 3-4, 61-68 (1999).
R. Gilmore, Applied Theory of Catastrophes [Russian translation], Moscow (1984).
M. S. Ivanov, A. N. Kudryavtsev, and D. V. Khotyanovskii, Dokl. Ross. Akad. Nauk, 373, No. 3, 332-336 (2000).
S. K. Andilevko, Inzh.-Fiz. Zh., 72, No. 2, 208-225 (1999); 72, No. 3, 507-518 (1999); 73, No. 4, 802-806 (2000).
O. M. Belotserkovskii, V. V. Demchenko, and A. M. Oparin, Dokl. Ross. Akad. Nauk, 354, No. 2, 190-193 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tarnavskii, G.A., Shpak, S.I. Certain Aspects of Computer Simulation of Hypersonic Flows: Stability, Nonuniqueness, and Bifurcation of Numerical Solutions of the Navier–Stokes Equations. Journal of Engineering Physics and Thermophysics 74, 710–719 (2001). https://doi.org/10.1023/A:1016772730823
Issue Date:
DOI: https://doi.org/10.1023/A:1016772730823