Numerical simulation of weak shock diffraction over a wedge under the von Neumann paradox conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 8, pp. 1393-1404 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1999_39_8_a13,
     author = {E. I. Vasilev and A. N. Kraiko},
     title = {Numerical simulation of weak shock diffraction over a wedge under the von {Neumann} paradox conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1393--1404},
     year = {1999},
     volume = {39},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_8_a13/}
}
TY  - JOUR
AU  - E. I. Vasilev
AU  - A. N. Kraiko
TI  - Numerical simulation of weak shock diffraction over a wedge under the von Neumann paradox conditions
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1999
SP  - 1393
EP  - 1404
VL  - 39
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_8_a13/
LA  - ru
ID  - ZVMMF_1999_39_8_a13
ER  - 
%0 Journal Article
%A E. I. Vasilev
%A A. N. Kraiko
%T Numerical simulation of weak shock diffraction over a wedge under the von Neumann paradox conditions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1999
%P 1393-1404
%V 39
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_8_a13/
%G ru
%F ZVMMF_1999_39_8_a13
E. I. Vasilev; A. N. Kraiko. Numerical simulation of weak shock diffraction over a wedge under the von Neumann paradox conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 8, pp. 1393-1404. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_8_a13/

[1] White D. R., “An experimental survey of shock waves”, Proc. 2nd Midwest Conf. On Fluid Mechanics, V. 3, Ohio State Univ. Press, Columbus, 1952, 253–262

[2] Henderson L. F., Siegenthaler A., “Experiments on the diffraction of weak blast waves: The von Neumann paradox”, Proc. Roy. Soc. London. A, 369 (1980), 537–555 | DOI

[3] Colella P., Henderson L. F., “The von Neumann paradox for the diffraction of weak shock waves”, J. Fluid Mech., 213 (1990), 71–94 | DOI | MR

[4] Olim M., Devey J. M., “A revised three-shock solution for the Mach reflection of weak shocks”, Shock Waves, 2 (1992), 167–176 | DOI

[5] Adachi T., Suzuki T., Kobayashi S., “Mach reflection of a weak shock waves”, Trans. Japan Soc. Mech. Engng., 60:575 (1994), 2281–2286

[6] Sasoh A., Takayama K., “Characterization of disturbance propagation in weak shock-wave reflections”, J. Fluid Mech., 277 (1994), 331–345 | DOI

[7] Zaslavskii B. I., Safarov R. A., “O makhovskom otrazhenii slabykh udarnykh voln ot zhestkoi stenki”, Prikl. mekhan. i tekhn. fiz., 1973, no. 5, 26–33 | MR

[8] Birkgof G., Gidrodinamika. Metody. Fakty. Podobie, Izd-vo inostr. lit., M., 1963

[9] Sternberg J., “Triple-shock-wave intersections”, Phys. Fluids, 2:2 (1959), 179–206 | DOI | Zbl

[10] Dulov V. G., “O dvizhenii troinoi konfiguratsii udarnykh voln s obrazovaniem sleda za tochkoi vetvleniya”, Prikl. mekhan. i tekhn. fiz., 1973, no. 6, 67–75

[11] Shindyapin G. P., “Makhovskoe otrazhenie i vzaimodeistvie slabykh udarnykh voln v usloviyakh paradoksa Neimana”, Izv. RAN. Mekhan. zhidkosti i gaza, 1996, no. 2, 183–190 | Zbl

[12] Guderlei K. G., Teoriya okolozvukovykh techenii, Izd-vo inostr. lit., M., 1960

[13] Henderson L. F., “The refraction of a plane shock wave at a gas interface”, J. Fluid Mech., 26 (1966), 607–637, Pt. 3 | DOI

[14] Henderson L. F., Atkinson J. D., “Multi-valued solutions of steady-state supersonic flow. Part 1. Linear analysis”, J. Fluid Mech., 75 (1976), 751–764, Pt. 4 | DOI | MR | Zbl

[15] Landau L. D.,Lifshits E. M., Teoreticheskaya fizika, v. 6, Gidrodinamika, Nauka, M., 1986 | MR

[16] Vasilev E. I., “Monotonnaya skhema povyshennoi tochnosti dlya resheniya dvumernykh nestatsionarnykh uravnenii Eilera na podvizhnykh setkakh na osnove skhemy Godunova”, Ann. dokl. VII Vses. s'ezda po teor. i prikl. mekhan. (M., 1991), 73

[17] Vasilev E. I., “W-Modifikatsiya metoda S. K. Godunova i ee primenenie dlya dvumernykh nestatsionarnykh techenii zapylennogo gaza”, Zh. vychisl. matem. i matem. fiz., 36:1 (1996), 122–135 | MR

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

[19] Kraiko A. N., Makarov V. E., Tillyaeva N. I., “K chislennomu postroeniyu frontov udarnykh voln”, Zh. vychisl. matem. i matem. fiz., 20:3 (1980), 716–723

[20] Vaglio-Laurin R., “Transonic rotational flow over a convex corner”, J. Fluid Mech., 9 (1960), 81–103, Pt. 1 | DOI | MR | Zbl

[21] Friedman M. P., “Two-dimensional and axisymmetric rotational flows past transonic corner”, J. Aerospace Sci., 29:4 (1962), 503–504

[22] Marchuk G. I., Shaidurov V. V., Povyshenie tochnosti reshenii raznostnykh skhem, Nauka, M., 1979 | MR