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Article information
2006 , Volume 11, ¹ 3, p.27-35
Vshivkov V.A., Lazareva G.G., Kulikov I.M.
Operator approach for numerical simulation of gas dynamics with gravitation
We study the influence of different methods of approximation of finite difference operators on the solution symmetry. Specifically, we examine the case of a 2D (in Cartesian coordinate system) simulation of expansion of a gas sphere in a vacuum. A model of evolution of the rotating gas component in protoplanetary disk with the self-consistent gravitational field is considered. The model is based on the solution of Poisson equation for gravitational field combined with the gas dynamics equations. It is shown that for the employed numerical methods the invariance with respect to rotation essentially affects the solution of such gravitational problem.
[full text] Author(s):
Vshivkov Vitalii Andreevich
Dr. , Professor
Position: Leading research officer
Office: Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Laverntiev ave., 6
Phone Office: (383) 330 89 94
E-mail: vsh@ssd.sscc.ru
Lazareva Galina Gennadievna
Dr. , Correspondent member of RAS, Professor
Office: Peoples Friendship University of Russia
Address: 117198, Russia, Moscow, 6, Miklukho-Maklaya Street
E-mail: lazareva-gg@rudn.ru
Kulikov I.M.
Office: Novosibirsk State Technical University
Address: 630090, Russia, Novosibirsk, 6, Miklukho-Maklaya Street
Phone Office: (383) 330 89 94
E-mail: kulikov@ssd.sscc.ru
Bibliography link:
Vshivkov V.A., Lazareva G.G., Kulikov I.M. Operator approach for numerical simulation of gas dynamics with gravitation // Computational technologies. 2006. V. 11. ¹ 3. P. 27-35
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