Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 3, Pages 3–8 (Mi vmumm26)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Acceleration of the process of entering stationary mode for molutions of a linearized system of viscous gas dynamics. II

K. A. Zhukova, A. A. Kornevb, A. V. Popovb

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: For finite-difference approximation of the linearized system of the differential equations of viscous gas dynamics, the governing boundary conditions of the first kind are constructed to guarantee the acceleration of the process of reaching the steady state solution. Necessary estimates are presented for the rate of convergence in the case of zero boundary conditions as well as the calculation results for stabilization in the case of initial conditions with jumps of pressure and/or density.
Key words: numerical stabilization on the boundary, equations of dynamics of viscous one-dimensional gas.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00960
Received: 27.06.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 3, Pages 85–89
DOI: https://doi.org/10.3103/S0027132218030014
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: K. A. Zhukov, A. A. Kornev, A. V. Popov, “Acceleration of the process of entering stationary mode for molutions of a linearized system of viscous gas dynamics. II”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 3, 3–8; Moscow University Mathematics Bulletin, 73:3 (2018), 85–89
Citation in format AMSBIB
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