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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 923–936
(Mi zvmmf4880)
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This article is cited in 18 scientific papers (total in 18 papers)
Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid
V. S. Mingaleva, I. V. Mingaleva, O. V. Mingaleva, A. M. Oparinb, K. G. Orlova a Polar Geophysical Institute, Kola Science Center of the Russian Academy of Sciences, Academgorodok 26a, Apatity, Murmanskaya oblast, 184209 Russia
b Institute of Automated Design, Russian Academy of Sciences, Vtoraya Brestskaya ul. 18/2, Moskow, 123056 Russia
Abstract:
A generalization of the explicit hybrid monotone second-order finite difference scheme for the use on unstructured 3D grids is proposed. In this scheme, the components of the momentum density in the Cartesian coordinates are used as the working variables; the scheme is conservative. Numerical results obtained using an implementation of the proposed solution procedure on an unstructured 3D grid in a spherical layer in the model of the global circulation of the Titan’s (a Saturn’s moon) atmosphere are presented.
Key words:
numerical solution of fluid dynamics equations, generalized hybrid monotone finite difference scheme, unstructured 3D grid.
Received: 17.04.2009
Citation:
V. S. Mingalev, I. V. Mingalev, O. V. Mingalev, A. M. Oparin, K. G. Orlov, “Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 923–936; Comput. Math. Math. Phys., 50:5 (2010), 877–889
Linking options:
https://www.mathnet.ru/eng/zvmmf4880 https://www.mathnet.ru/eng/zvmmf/v50/i5/p923
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