IMPLICIT FINITE DIFFERENCE SCHEME FOR BAROTROPIC GAS EQUATIONS
https://doi.org/10.22405/2226-8383-2017-18-3-304-315
Abstract
An implicit finite difference scheme approximated barotropic gas equations is proposed. This scheme ensures positivity of density compared to previous methods. Existence of a solution to this scheme is proved for any time and space mesh-steps, an iterative method for solving the system of nonlinear equations on each time step is proposed.
About the Authors
G. M. Kobel’kov
Lomonosov Moscow State University
Russian Federation
Russian Federation
doctor of physics and mathematics, professor, head of the department computational mathematics of the faculty of mechanics and mathematics
A. G. Sokolov
Lomonosov Moscow State University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences, senior research of chairs computational mathematics of the faculty of mechanics and mathematics
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Review
For citations:
Kobel’kov G.M., Sokolov A.G. IMPLICIT FINITE DIFFERENCE SCHEME FOR BAROTROPIC GAS EQUATIONS. Chebyshevskii Sbornik. 2017;18(3):304-315. (In Russ.) https://doi.org/10.22405/2226-8383-2017-18-3-304-315
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