On algorithms for computing the Riemann problem by means of Godunov's scheme
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 5, pp. 782-796 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. A. Charakhch'yan. On algorithms for computing the Riemann problem by means of Godunov's scheme. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 5, pp. 782-796. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a10/

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

[2] Godunov S. K., Zabrodin A. V., Ivanov M. Ya. i dr., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[3] Van Leer B., “A second-order sequel to Godunov's method”, J. Comput. Phys., 32:1 (1979), 101–136 | DOI

[4] Roe P. L., “Approximate Riemann solvers, parameter vectors and difference schemes”, J. Comput. Phys., 43:3 (1981), 357–372 | DOI | MR | Zbl

[5] Osher S., Chakravarthy S., “Upwind schemes and boundary conditions with applications to Euler equations in general geometries”, J. Comput. Phys., 50:3 (1983), 357–372 | DOI | MR

[6] Golella P., Woodward P. R., “The piecewise-parabolic method (PPM) for gas-dynamical simulations”, J. Comput. Phys., 54:1 (1984), 174–201 | DOI

[7] Ivanov M. Ya., Nigmatullin R. Z., “Neyavnaya skhema S. K. Godunova povyshennoi tochnosti dlya integrirovaniya uravnenii Eilera”, Zh. vychisl. matem. i matem. fiz., 27:11 (1987), 1725–1735 | MR | Zbl

[8] Rodionov A. V., “Povyshenie poryadka approksimatsii skhemy S. K. Godunova”, Zh. vychisl. matem. i matem. fiz., 27:12 (1987), 1853–1860 | MR | Zbl

[9] Sharov D. M., Chislennoe modelirovanie razryvnykh techenii gaza na nestrukturirovannykh adaptivnykh setkakh, Dis. $\dots$ kand. fiz.-matem. nauk, Fiz.-tekhn. in-t, SPb., 1992

[10] Toro E. F., Riemann solvers and numerical methods for fluid dynamics. A practical introduction, Springer-Verlag, Berlin, 1997 | MR

[11] Charakhchyan A. A., “Effekt lozhnoi kumulyatsii dlya skhemy S. K. Godunova na podvizhnykh setkakh”, Zh. vychisl. matem. i matem. fiz., 28:1 (1988), 142–146

[12] Charakhchyan A. A., “Pochti konservativnye raznostnye skhemy dlya uravnenii gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 33:11 (1993), 1681–1692 | MR

[13] Charakhch'yan A. A., “Application of moving regular grids to computation of gasdynamic flows with interfaces”, Modern Problems in Computational Aerogasdynamics, eds. A. A. Dorodnicyn and P. I. Chushkin, Mir Publishers, Moscow; CRC Press, Boca Ration, 1992, 189–210

[14] Charakhchyan A. A., “Ob ustoichivosti kumulyativnykh strui, voznikayuschikh pri impulsnom vozdeistvii na konicheskie misheni”, Prikl. mekhan. i tekhn. fiz., 38:3 (1997), 10–13

[15] Naumova I. N., Shmyglevskii Yu. D., Algoritm i programma rascheta raspadov razryvov v nesovershennom gaze, P002809. Inform. byul. “Algoritmy i programmy”. No 3, VNTI-Tsentr, M., 1978

[16] Charakhch'yan A. A., “Numerical investigation of circular cumulative jets compressing deuterium in conical targets”, Plasma Phys. Control. Fusion, 39:2 (1997), 237–247 | DOI | MR

[17] Lomonosov I. V., Frolova A. A., Charakhchyan A. A., “Raschet vysokoskorostnogo udara tonkoi folgi po konicheskoi misheni”, Matem. modelirovanie, 9:5 (1997), 48–60 | Zbl

[18] Kholodov A. S., “O postroenii raznostnykh skhem s polozhitelnoi approksimatsiei dlya uravnenii giperbolicheskogo tipa”, Zh. vychisl. matem. i matem. fiz., 18:6 (1978), 1476–1492 | MR | Zbl

[19] Magomedov K. M., Kholodov A. S., Setochno-kharakteristicheskie chislennye metody, Nauka, M., 1988 | MR

[20] Semenov A. Yu., “Modifikatsiya metoda Kuranta–Izaksona–Risa dlya uravnenii gazodinamiki s proizvolnym uravneniem sostoyaniya”, Zh. vychisl. matem. i matem. fiz., 37:11 (1997), 1376–1383 | MR | Zbl

[21] Roe P. L., Pike J., “Efficient construction and utilisation of approximate Riemann solutions”, Comput. Meth. in Appl. Sci. and Engng. VI, North-Holland, 1984, 499–518 | MR | Zbl

[22] Glaister P., “An approximate linearised Riemann solver of the Euler equations of gas dynamics”, J. Comput. Phys., 74:2 (1988), 382–408 | DOI | Zbl

[23] Rikhtmaier P., Morton K., Raznostnye metody resheniya kraevykh zadach, Mir, M., 1972

[24] Charakhchyan A. A., “Ob odnom variante polnostyu konservativnoi skhemy dlya uravnenii gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 19:1 (1979), 259–263 | MR

[25] Bushman A. V., Kapel G. I., Ni A. L., Fortov V. E., Teplofizika i dinamika intensivnykh impulsnykh vozdeistvii, IKhF AN SSSR, Chernogolovka, 1988

[26] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR

[27] Bronshtein I. N., Semendyaev K. A., Spravochnik po matematike, Toibner, Leiptsig, 1979; Наука, М., 1980

[28] Bakhvalov N. S., Chislennye metody, Nauka, M., 1973 | MR | Zbl