Email this article Finite Difference Scheme for Barotropic Gas Equations
- Authors: Imranov F.B.1, Kobel’kov G.M.2, Sokolov A.G.2
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Affiliations:
- Institute of Physics of National Academy of Sciences of Azerbaijan
- Faculty of Mechanics and Mathematics
- Issue: Vol 97, No 1 (2018)
- Pages: 58-61
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225457
- DOI: https://doi.org/10.1134/S1064562418010179
- ID: 225457
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Abstract
An implicit finite difference scheme approximating the equations of barotropic gas flow is proposed. This scheme ensures the positivity of density and the validity of an energy inequality and the mass conservation law. The continuity equation is approximated implicitly. It is proved that the resulting system of nonlinear equations has a solution for any time and space stepsizes. An iterative method for solving the system of nonlinear equations at each time step is proposed.
About the authors
F. B. Imranov
Institute of Physics of National Academy of Sciences of Azerbaijan
Author for correspondence.
Email: farizimranov@yandex.ru
Azerbaijan, Baku, AZ1141
G. M. Kobel’kov
Faculty of Mechanics and Mathematics
Email: farizimranov@yandex.ru
Russian Federation, Moscow, 119991
A. G. Sokolov
Faculty of Mechanics and Mathematics
Email: farizimranov@yandex.ru
Russian Federation, Moscow, 119991
