Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MM_2013_25_5_a9, author = {S. V. Fortova and L. M. Kraginskii and A. V. Chikitkin and E. I. Oparina}, title = {The software package for the solution of the equations of hyperbolic type}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {123--135}, publisher = {mathdoc}, volume = {25}, number = {5}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2013_25_5_a9/} }
TY - JOUR AU - S. V. Fortova AU - L. M. Kraginskii AU - A. V. Chikitkin AU - E. I. Oparina TI - The software package for the solution of the equations of hyperbolic type JO - Matematičeskoe modelirovanie PY - 2013 SP - 123 EP - 135 VL - 25 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2013_25_5_a9/ LA - ru ID - MM_2013_25_5_a9 ER -
%0 Journal Article %A S. V. Fortova %A L. M. Kraginskii %A A. V. Chikitkin %A E. I. Oparina %T The software package for the solution of the equations of hyperbolic type %J Matematičeskoe modelirovanie %D 2013 %P 123-135 %V 25 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MM_2013_25_5_a9/ %G ru %F MM_2013_25_5_a9
S. V. Fortova; L. M. Kraginskii; A. V. Chikitkin; E. I. Oparina. The software package for the solution of the equations of hyperbolic type. Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 123-135. http://geodesic.mathdoc.fr/item/MM_2013_25_5_a9/
[1] Belotserkovskii O. M., Oparin A. M., Chechetkin V. M., Turbulentnost: novye podkhody, Nauka, M., 2002
[2] T. E. Faber, Gidroaerodinamika, Postmarket, M., 2001
[3] Paket CLAWPACK, http://www.amath.washington.edu/r̃jl/clawpack.html
[4] Paket Flux Coupler, http://www.cgd.ucar.edu/csm/models/cpl/
[5] L. M. Kraginskiy, Universal Technology of Parallel Computations for the Problems. Described by Systems of the Equations of Hyperbolic Type and its Applications, PhD thesis, Moscow, 2003, 143 pp.
[6] A. M. Oparin, “Chislennoe modelirovanie problem, svyazannykh s intensivnym razvitiem gidrodinamicheskikh neustoichivostei”, Novoe v chisl. modelirovanii: algoritmy, vychisl. eksperimenty, rezultaty, Nauka, M., 2000, 63–90 | MR
[7] O. M. Belotserkovskii, S. V. Fortova, “Issledovanie spektralnykh kharakteristik odnorodnogo turbulentnogo potoka”, ZhVMiMF, 52:2 (2012), 1–8 | MR
[8] S. V. Fortova, “Investigation of spectrum characteristics of the vortex cascades in shear flow”, Topical Issue of the Physica Scripta, 2012, PSTOP/366247/SPE/256146 | Zbl
[9] O. M. Belotserkovskii, S. V. Fortova, “Investigation of the Cascade Mechanism of Turbulence Development in Free Shear Flow”, Doklady Akademii Nauk, 443:1 (2012), 44–47
[10] O. M. Belotserkovskii, S. V. Fortova, “Makroparametry prostranstvennykh techenii v svobodnoi sdvigovoi turbulentnosti”, ZhVM i MF, 50:6 (2010), 1–14 | MR
[11] B. P. Zeigler, Object-Oriented Simulation with Hierarchical, Modular Models, Academic Press, New York, 1990 | Zbl
[12] L. D. Landau, E. M. Lifshits, Mekhanika sploshnykh sred, Gostekhteorizdat, M., 1953
[13] L. G. Loitsyanskii, Mekhanika zhidkosti i gaza, Nauka, M., 1978 | MR
[14] Kovenya V. M., Yanenko N. N., Metod rasschepleniya v zadachakh gazovoi dinamiki, Nauka, Novosibirsk, 1981 | MR | Zbl
[15] P. L. Roe, “Approximate Riemann solvers, parameter vectors and difference scheme”, J. Comp. Phys., 43 (1981), 357–372 | DOI | MR | Zbl
[16] K. M. Magometov, A. S. Kholodov, Setochno-kharakteristicheskie chislennye metody, Nauka, M., 1987 | MR
[17] P. L. Roe, “Characteristic-based schemes for the Euler equations”, Ann. Rev. Fluid Mechanics, 8 (1986), 337–365 | DOI | MR
[18] Harten, “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49:2 (1983), 357–393 | DOI | MR | Zbl
[19] J. Y. Yang, “Third-order nonoscillatory schemes for the Euler Equations”, AIAA Journal, 29:10 (1991), 1611–1618 | DOI | Zbl
[20] van Leer B., “Towards the ultimate conservative difference scheme. V: A second-order sequel to Godunov's method”, Journal of Computational Physics, 32 (1979), 101–136 | DOI
[21] Belotserkovskii O. M., Davydov Yu. M., Metod krupnykh chastits v gazovoi dinamike, Nauka, M., 1982
[22] Fletcher K., Vychislitelnye metody v dinamike zhidkostei, Mir, M., 1991, 552 pp. | MR
[23] S. K. Godunov, “Raznostnyi metod chislennogo rascheta razryvnykh reshenii gidrodinamiki”, Mat. sb., 47:3 (1959), 271–306 | MR | Zbl
[24] R. Courant, E. Isaacon, M. Rees, “On the solution of nonlinear hyperbolic differential equations by finite differences”, Comm. Pure and Applied Mathematics, 5 (1952), 243–255 | DOI | MR | Zbl
[25] O. M. Belotserkovskii, V. A. Guschin, V. N. Konshin, “Metod rasschepleniya dlya issledovaniya techenii stratifitsirovannoi zhidkosti so svobodnoi poverkhnostyu”, Zh. vychisl. matem. i matem. fiz., 27:4 (1987), 594–609 | MR
[26] Kharlou F. Kh., “Chislennyi metod chastits v yacheikakh dlya zadach gidrodinamiki”, Vychisl. metody v gidrodinamike, Mir, M., 1967
[27] M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra, MPI: The Complete Reference, MIT Press, 1996
[28] Buch G., Ob'ektno-orientirovannoe proektirovanie s primerami primeneniya, per. s angl., Konkord, M., 1992
[29] O. M. Belotserkovskii, Yu. M. Davydov, A. Yu. Demyanov, “Vzaimodeistvie mod vozmuschenii pri neustoichivosti Releya–Teilora”, Dokl. AN SSSR, 288 (1986), 1071
[30] A. N. Kolmogorov, “Lokalnaya struktura turbulentnosti v neszhimaemoi vyazkoi zhidkosti pri ochen bolshikh chislakh Reinoldsa”, DAN SSSR, 30:4, 299–303
[31] A. M. Obukhov, “O raspredelenii energii v spektre turbulentnogo potoka”, Izv. AN SSSR. Ser. geogr. i geof., 5:4 (1941), 453–466
[32] K. Aki, P. Richards, Kolichestvennaya seismologiya, Mir, M., 1982