@article{ZVMMF_1996_36_1_a8,
author = {E. I. Vasil'ev},
title = {$W$-modification of {S.} {K.~Godunov's} method and its application to two-dimensional unsteady flows of a dusty gas},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {122--135},
year = {1996},
volume = {36},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a8/}
}
TY - JOUR AU - E. I. Vasil'ev TI - $W$-modification of S. K. Godunov's method and its application to two-dimensional unsteady flows of a dusty gas JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1996 SP - 122 EP - 135 VL - 36 IS - 1 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a8/ LA - ru ID - ZVMMF_1996_36_1_a8 ER -
%0 Journal Article %A E. I. Vasil'ev %T $W$-modification of S. K. Godunov's method and its application to two-dimensional unsteady flows of a dusty gas %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1996 %P 122-135 %V 36 %N 1 %U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a8/ %G ru %F ZVMMF_1996_36_1_a8
E. I. Vasil'ev. $W$-modification of S. K. Godunov's method and its application to two-dimensional unsteady flows of a dusty gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 1, pp. 122-135. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a8/
[1] Godunov S. K., “Raznostnyi metod chislennogo rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47 (1959), 271–306 | MR | Zbl
[2] Boris J. P., Book D. L., “Flux-corrected transport. I: A fluid transport algorithm that works”, J. Comput. Phys., 11 (1973), 38–69 | DOI | Zbl
[3] van Leer B., “Towards the ultimate conservative difference scheme. II: Monotonicity and conservation in a second-order scheme”, J. Comput. Phys., 14 (1974), 361–370 | DOI | Zbl
[4] Zalesak S. T., “Fully multidimensional flux-corrected transport algorithms for fluids”, J. Comput. Phys., 31 (1979), 335–362 | DOI | MR | Zbl
[5] van Leer B., “Towards the ultimate conservative difference scheme. V: A second-order sequel to Godunov's method”, J. Comput. Phys., 32 (1979), 101–136 | DOI
[6] Kolgan V. P., “Primenenie printsipa minimalnykh znachenii proizvodnykh k postroeniyu konechno-raznostnykh skhem dlya rascheta razryvnykh reshenii gazovoi dinamiki”, Uch. zap. TsAGI, 3:6 (1972), 68–72
[7] Kopchenov V. I., Kraiko A. N., “Monotonnaya raznostnaya skhema vtorogo poryadka dlya giperbolicheskikh sistem s dvumya nezavisimymi peremennymi”, Zh. vychisl. matem. i matem. fiz., 23:4 (1983), 848–859 | MR | Zbl
[8] Harten A., “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49 (1983), 357–393 | DOI | MR | Zbl
[9] Yang J. Y., Lombard C. K., “Uniformly second order accurate ENO schemes for the Euler equations of gas dynamics”, AIAA 8th Comput. Fluid Dyn. Conf. (Honolulu, 1987), 696–704
[10] Ishii R., Umeda Y., Yuhi M., “Numerical analysis of gas-partile two-phase flows”, J. Fluid Mech., 203 (1989), 475–515 | DOI
[11] Yee H. C., Shinn J. L., “Semi-implicit and fully implicit shock-capturing methods for hyperbolic conservation laws with stiff source terms”, AIAA 8th Comput. Fluid Dyn. Conf. (Honolulu, 1987), 159–176
[12] Hayashi A. K., Matsuda M., Fujiwara T., Arashi K., “Numerical simulation of gas-solid two-phase nozzle and jet flows”, AIAA Thermophys., Plasmadyn. and Lasers Conf. (San Antonio, 1988), 1–9
[13] Hatta N., Fujimoto H., Ishii R., Kokado J., “Theoretical analysis of supersonic gasparticle two-phase flow and its application to relatively complicated flow fields”, Mem. Fac. Engng. Kyoto Univ., 52:3 (1990), 115–185
[14] Godunov S. K., Zabrodin A. V., Ivanov M. Ya., Kraiko A. N., Prokopov G. P., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl
[15] Rodionov A. V., “Povyshenie poryadka approksimatsii skhemy S. K. Godunova”, Zh. vychisl. matem. i matem. fiz., 27:12 (1987), 1853–1860 | MR | Zbl
[16] Aukin M. K., Tagirov R. K., “Konechno-raznostnaya skhema vtorogo poryadka tochnosti dlya rascheta trekhmernykh sverkhzvukovykh techenii idealnogo gaza”, Zh. vychisl. matem. i matem. fiz., 29:7 (1989), 1057–1066 | MR | Zbl
[17] Colella P., “Multidimensional upwind methods for hyperbolic conservation laws”, J. Comput. Phys., 87 (1990), 171–200 | DOI | MR | Zbl
[18] Kopchenov V. I., Kraiko A. N., “Reshenie v ramkakh dvuzhidkostnoi modeli pryamoi zadachi o dvukhfaznom techenii v sople Lovalya”, Nauchn. tr. In-ta mekhan. MGU, 32, M., 1974, 96–108
[19] Kopchenov V. I., “Reshenie pryamoi zadachi o techenii dvukhfaznoi smesi gaza i inorodnykh tverdykh ili zhidkikh chastits v sople Lovalya”, Prikl. mekhan. i tekhn. fiz., 1975, no. 6, 37–42
[20] Vasilev E. I., Danilchuk E. V., “Chislennoe reshenie zadachi o razvitii techeniya v udarnoi trube pri poperechnom vydvizhenii diafragmy”, Izv. PAH. Mekhan. zhidkosti i gaza, 1994, no. 2, 147–154