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Инд. авторы: Kovenya V.M., Eremin A.A.
Заглавие: Predictor-Corrector Difference Scheme for Numerical Solution of the Euler and Navier–Stokes Equations
Библ. ссылка: Kovenya V.M., Eremin A.A. Predictor-Corrector Difference Scheme for Numerical Solution of the Euler and Navier–Stokes Equations // Journal of Mathematical Sciences. - 2016. - Vol.215. - Iss. 4. - P.484-498. - ISSN 1072-3374. - EISSN 1573-8795.
Внешние системы: DOI: 10.1007/s10958-016-2853-7; РИНЦ: 27070519; SCOPUS: 2-s2.0-84978646053;
Реферат: eng: We generalize optimal splitting schemes for numerical solving the Euler and Navier–Stokes equations in the curvilinear coordinates. We introduce a splitting of the equations, common in both divergence and nondivergence forms, that makes it possible to construct a class of economic difference schemes. The schemes are realized at fractional steps by scalar sweeps and have a large steady margin. The proposed algorithm is tested for stationary and nonstationary problems. © 2016, Springer Science+Business Media New York.
Издано: 2016
Физ. характеристика: с.484-498
Цитирование: 
1. S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, A. N. Kraiko, and G. P. Prokopov, Numerical Solution of Multidimensional Problems of Gas Dynamics [in Russian], Nauka, Moscow (1976).
2. A. A. Samarskij, The Theory of Difference Schemes [in Russian], Nauka, Moscow (1989); English transl.: Marcel Dekker, New York (2001).
3. V. M. Kovenya and N. N. Yanenko, Decomposition Method in Problems of Gas Dynamics [in Russian], Nauka, Novosibirsk (1981).
4. C. A. J. Fletcher, Computational Techniques for Fluid Dynamics, Springer, Berlin etc. (1988).
5. O. M. Belotserkovskii, Numerical Modeling in Continuum Mechanics [in Russian], Nauka, Moscow (1984).
6. G. I. Marchuk, Splitting and Alternating Direction Methods [in Russian], Akad. Nauk SSSR, Moscow (1986).
7. V. M. Kovenya, Difference Methods of Solution of Multidimensional Problems [in Russian], Novosibirsk State Univ. Press, Novosibirsk (2004).
8. J. B. Vos, A. Rizzi, D. Darracq, and E. H. Hirschel, “Navier–Stokes solvers in European aircraft design” Prog. Aerosp. Sci. 38, No. 8, 601–697 (2002).
9. V. M. Kovenya, Splitting Algorithms as Applied to the Multidimensional Problems of Aerogas Dynamics [in Russian], Izd. SO RAN, Novosibirsk (2014).
10. V. I. Pinchukov and C. Shu, High Order Numerical Methods for Problems of Aerohydrodynamics [in Russian], Izd. SO RAN, Novosibirsk (2000).
11. V. D. Lisejkin, “A survey of methods for constructing structured adaptive grids” [in Russian], Zh. Vychisl. Mat. Mat. Fiz. 36, No. 1, 3–41 (1996); English transl.: Comput. Math. Math. Phys. 36, No. 1, 1–32 (1996).
12. G. S. Khakimzyanov, Yu. I. Shokin, V. B. Barakhnin and N. Yu. Shokina, Numerical Simulation of Fluid Flows with Surface Waves [in Russian], Izd. SO RAN, Novosibirsk (2001).
13. L. G. Loitsyanskii, Mechanics of Liquids and Gases [in Russian], Nauka, Moscow (1978); English transl.: Pergamon Press, Oxford etc. (1972).
14. V. M. Kovenya and A. Yu. Slyunyaev, “Splitting algorithms as applied to the Navier–Stokes equations” [in Russian], Zh. Vychisl. Mat. Mat. Fiz. 49, No. 4, 700–714 (2009); English transl.: Comput. Math. Math. Phys., 49, No. 4, 676–690 (2009).
15. V. I. Zapryagaev and I. N. Kavun, “Experimental study of the reverse flow in the forward separation region in a pulsating flow around a spiked body” [in Russian], Prikl. Mekh. Tekh. Fiz. 48, No. 4, 30–39 (2007); English transl.: J. Appl. Mech. Tech. Phys. 48, No. 4, 492–500 (2007).