A numerical method for solving Euler equations based on jump condition
Matematičeskoe modelirovanie, Tome 20 (2008) no. 2, pp. 76-84.

Voir la notice de l'article provenant de la source Math-Net.Ru

Present robust numerical method for the computation of discontinuous solutions of the Euler equations base on approximate Riemann solvers that do not need an iteration process with jump condition for the equations of a gas dynamics in the form of mass variables.
@article{MM_2008_20_2_a6,
     author = {A. V. Safronov},
     title = {A numerical method for solving {Euler} equations based on jump condition},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {76--84},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_2_a6/}
}
TY  - JOUR
AU  - A. V. Safronov
TI  - A numerical method for solving Euler equations based on jump condition
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 76
EP  - 84
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_2_a6/
LA  - ru
ID  - MM_2008_20_2_a6
ER  - 
%0 Journal Article
%A A. V. Safronov
%T A numerical method for solving Euler equations based on jump condition
%J Matematičeskoe modelirovanie
%D 2008
%P 76-84
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2008_20_2_a6/
%G ru
%F MM_2008_20_2_a6
A. V. Safronov. A numerical method for solving Euler equations based on jump condition. Matematičeskoe modelirovanie, Tome 20 (2008) no. 2, pp. 76-84. http://geodesic.mathdoc.fr/item/MM_2008_20_2_a6/

[1] S. K. Godunov, “Raznostnyi metod chislennogo rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47(89):3 (1959), 271–306 | MR | Zbl

[2] S. K. Godunov (red.), Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[3] A. Harten, P. D. Lax, B. Van Leer, “On Upstream Differencing and Godunov-type Schemes for Hyperbolic Conservation Laws”, SIAM Review, 25:1 (1981), 35–61 | DOI | MR

[4] E. F. Toro, M. Spruce, S. Speares, “Restoration of the Contact Surface in the HLL-Riemann Solver”, Shock Saves, 4:1 (1994), 25–34 | DOI | Zbl

[5] P. Batten, N. Clarke, C. Lambert, D. M. Causon, “On the Coice of Savespeeds for the HLLC Riemann Solver”, SIAM J. Comput., 18:6 (1997), 1553–1570 | DOI | MR | Zbl

[6] A. V. Safronov, “Raznostnyi metod resheniya nestatsionarnykh uravnenii gazodinamiki na osnove sootnoshenii na razryvakh”, Kosmonavtika i raketostroenie, 2(43) (2006), 52–158

[7] A. V. Safronov, “Raznostnyi metod rascheta statsionarnykh sverkhzvukovykh techenii gaza iz sootnoshenii na razryvakh”, Materialy VI Mezhdunarodnoi konferentsii po neravnovesnym protsessam v soplakh i struyakh (NPNJ-2006) (26 iyunya–1 iyulya 2006 g.), 2006, 294–286

[8] A. V. Safronov, “Raschet vozdeistviya sverkhzvukovykh zatoplennykh strui produktov sgoraniya na pregradu”, Materialy VI Mezhdunarodnoi konferentsii po neravnovesnym protsessam v soplakh i struyakh (NPNJ-2006) (26 iyunya–1 iyulya 2006 g.), Vuzovskaya kniga, Sankt-Peterburg-M., 2006, 286–288

[9] A. G. Kulikovskii, N. V. Pogorelov, A. Yu. Semenov, Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | MR | Zbl

[10] A. V. Safronov, “Metod rascheta strui produktov sgoraniya pri starte”, Fiziko-khimicheskaya kinetika v gazovoi dinamike, 4 (2006) ; http://www.chemphys.edu.ru/media/files/2006-10-23-001.pdf | Zbl