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@article{MM_2007_19_12_a9, author = {I. E. Ivanov and I. A. Kryukov}, title = {Numerical modeling of multicomponent gas flows with strong discontinuities of medium properties}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {89--100}, publisher = {mathdoc}, volume = {19}, number = {12}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2007_19_12_a9/} }
TY - JOUR AU - I. E. Ivanov AU - I. A. Kryukov TI - Numerical modeling of multicomponent gas flows with strong discontinuities of medium properties JO - Matematičeskoe modelirovanie PY - 2007 SP - 89 EP - 100 VL - 19 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2007_19_12_a9/ LA - ru ID - MM_2007_19_12_a9 ER -
%0 Journal Article %A I. E. Ivanov %A I. A. Kryukov %T Numerical modeling of multicomponent gas flows with strong discontinuities of medium properties %J Matematičeskoe modelirovanie %D 2007 %P 89-100 %V 19 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/MM_2007_19_12_a9/ %G ru %F MM_2007_19_12_a9
I. E. Ivanov; I. A. Kryukov. Numerical modeling of multicomponent gas flows with strong discontinuities of medium properties. Matematičeskoe modelirovanie, Tome 19 (2007) no. 12, pp. 89-100. http://geodesic.mathdoc.fr/item/MM_2007_19_12_a9/
[1] Abgrall R., “How to prevent pressure oscillations in multicomponent flow calculations a quasi conservative approach”, J. of Comput. Physics, 125 (1996), 150–160 ; INRIA Report de recherche, 1994, No 2372 | DOI | MR | Zbl
[2] Shue K.-M., “An effisient Schock-Capturing Algorithm for Compressible Multicomponent Problems”, J. of Comput. Physics, 142 (1998), 208–242 | DOI | MR
[3] Toro E. F., “Anomalies of conservative methods: analysis, numerical evidence and possible cures”, Computational Fluid Dynamics Journal, 11:2 (2002), 128–143
[4] Abgrall R., Karni S., “Computations of Compressible Multifluids”, Journal of Computational Physics, 169 (2001), 594–623 | DOI | MR | Zbl
[5] Larrouturou B., “How to preserve the mass fraction positivity when computing compressible multi-component flows”, J. of Comput. Physics, 95 (1991), 59–73 | DOI | MR
[6] Jenny P., Mueller B., Thomann H., “Correction of conservative Euler solvers for gas mixtures”, J. of Comput. Physics, 132 (1997), 91–112 | DOI | MR
[7] Fedkiw R. P., Aslam T., Merriman B., Osher S., “A Non-oscillatory Eulerian Approach to interfaces in multima-terial flows (the Ghost Fluid Metod), Multifluids”, J. of Comput. Physics, 152 (1999), 457–492 | DOI | MR | Zbl
[8] Godunov S. K., “Raznostnyi metod chislennogo rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47(89):3 (1959), 271–306 | MR | Zbl
[9] Ivanov I. E., Kryukov I. A., “Kvazimonotonnyi metod povyshennogo poryadka tochnosti dlya rascheta vnutrennikh i struinykh techenii nevyazkogo gaza”, Matem. modelirovanie, 8:6 (1996), 47–55 | MR | Zbl
[10] Van-Leer B., Lectures Notes Phys., 170, 1982, 507–512
[11] Osher S., Fedkiw R. P., “A Level Set Method: An Overview and some recent results”, J. of Comput. Physics, 169 (2001), 463–502 | DOI | MR | Zbl
[12] Sethian J. A., Level set method and fast marching methods, University Press, Cambridge, 1999 | MR | Zbl
[13] Fares E., Schroder W., “A differential equation for approximate wall distance”, Int. J. Numer. Meth. Fluid, 39 (2002), 743–762 | DOI | MR | Zbl
[14] Tucker P. G., “Differential equation-based wall distance computation for DES and RANS”, J. Comput. Phys., 190 (2003), 229–248 | DOI | Zbl
[15] Kim S., “An $O(N)$ level set method for Eikonal equations”, SIAM J. Sci. Comput., 22 (2001), 2178–2193 | DOI | MR | Zbl
[16] Tsai Y. R., “Rapid and accurate computation of the distance function using grids”, J. Comput. Phys., 178:1 (2002), 175–195 | DOI | MR | Zbl
[17] Fedkiw R. P., Shapiro G., Shu C.-W., “Shock capturing Level sets and PDE based methods in computer vision and image processing: review of Osher's contributions”, J. Comp. Phys., 185 (2003), 309–343 | DOI | MR
[18] Falcone M. Ferretti, “Semi Lagrangian schemes for Hamilton–Jacobi equations, discrete representation formulae and Godunov methods”, J. Comput. Phys., 175:2 (2002), 559–575 | DOI | MR | Zbl
[19] Ivanov D. I., Ivanov I. E., Kryukov I. A., “Algoritmy priblizhennogo resheniya nekotorykh zadach prikladnoi geometrii, osnovannye na uravnenii tipa Gamiltona–Yakobi”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 45:8 (2005), 1345–1358 | MR | Zbl
[20] Grossman B., Walters R. W., “Analysis of flux-split algorithms for Euler's equations with real gases”, AIAA J., 27:5 (1989), 524–531 | DOI | MR | Zbl