A numerical study of three-dimensional Rayleigh–Taylor instability development
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 7, pp. 1098-1103 Cet article a éte moissonné depuis la source Math-Net.Ru

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O. M. Belotserkovskii; A. M. Oparin. A numerical study of three-dimensional Rayleigh–Taylor instability development. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 7, pp. 1098-1103. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_7_a12/

[1] Sharp D. H., “An overview of Rayleigh–Taylor instability”, Physica D, 12 (1984), 3–18 | DOI | MR | Zbl

[2] Read K. I., “Experimental investigation of turbulent mixing by Rayleigh–Taylor instability”, Physica D, 12 (1984), 45–58 | DOI

[3] Linden P., Redondo J., Youngs D., “Molecular mixing in Rayleigh-Taylor instability”, J. Fluid Mech., 265 (1994), 97–124 | DOI

[4] Marinak M. M., Glendinning S. G., Wallace R. J. et all., “Non-linear evolution of a three-dimensional multimode perturbation”, Phys. Rev. Letts, 80 (1998), 4426–4429 | DOI

[5] Harlow F. H., Welch J. E., “Numerical study of large-amplitude free-surface motion”, Phys. Fluids, 9:5 (1966), 842–851 | DOI

[6] Menikoff R., Zemach C., “Rayleigh–Taylor instability and the use of conformal maps for ideal fluid flow”, J. Comput. Phys., 51:1 (1983), 28–64 | DOI | MR | Zbl

[7] Baker G. R., Meiron D. I., Orszag S. A., “Vortex simulations of the Rayleigh–Taylor instability”, Phys. Fluids, 23:8 (1980), 1485–1490 | DOI | Zbl

[8] Gardner G., Glimm J., McBryan O. et al., “The dynamics of bubble growth for Rayleigh–Taylor instability”, Phys. Fluids, 31:3 (1988), 447–465 | DOI | Zbl

[9] Glimm J., Li X. L., Menikoff R. et al., “A numerical study of bubble interactions in Rayleigh–Taylor instability for compressible fluids”, Phys. Fluids A, 2:11 (1990), 2046–2054 | DOI | MR | Zbl

[10] Belotserkovskii O. M., Davydov Yu. M., Demyanov A. Yu., “Vzaimodeistvie mod vozmuschenii pri neustoichivosti Releya–Teilora”, Dokl. AN SSSR, 288 (1986), 1071–1074

[11] Belotserkovskii O. M., Chislennyi eksperiment v turbulentnosti: ot poryadka k khaosu, Nauka, M., 1994 | MR

[12] Davydov Yu. M., Panteleev M. S., “Razvitie trekhmernykh vozmuschenii pri neustoichivosti Releya–Teilora”, Zh. prikl. mekhan. i tekhn. fiz., 1981, no. 1, 117–122

[13] Yabe T., Hoshino H., Tsuchiya T., “Two- and three-dimensional behavior of Rayleigh–Taylor and Kelvin–Helmholtz instabilities”, Phys. Rev. A, 44 (1991), 2756–2758 | DOI

[14] Youngs D. L., “Three-dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability”, Phys. Fluids A, 3:5 (1991), 1312–1320 | DOI

[15] Li X. L., “Study of three-dimensional Rayleigh–Taylor instability”, Phys. Fluids A, 5:8 (1993), 1904–1913 | DOI | Zbl

[16] Li X. L., “A numerical study of three-dimensional bubble merger in the Rayleigh–Taylor instability”, Phys. Fluids, 8:2 (1996), 336–343 | DOI | Zbl

[17] Belotserkovskii O. M., Guschin V. A., Konshin V. N., “Metod rasschepleniya dlya issledovaniya techenii stratifitsirovannoi zhidkosti so svobodnoi poverkhnostyu”, Zh. vychisl. matem. i matem. fiz., 27:4 (1987), 594–609 | MR

[18] Magomedov K. M., Kholodov A. S., “O postroenii raznostnykh skhem dlya uravnenii giperbolicheskogo tipa na osnove kharakteristicheskikh sootnoshenii”, Zh. vychisl. matem: i matem. fiz., 9:2 (1969), 373–386 | MR | Zbl

[19] Belotserkovskii O. M., Chislennoe modelirovanie v mekhanike sploshnykh sred, 2-e izd., Fizmatgiz, M., 1994 | Zbl

[20] Abarzhi S. I., Inogamov N. A., “Statsionarnye resheniya v neustoichivosti Releya–Teilora dlya prostranstvennykh periodicheskikh techenii”, Zh. eksperim. i teor.fiz., 107 (1995), 132–143

[21] Abarzhi S. I., “Stable steady flows in Rayleigh–Taylor instability”, Phys. Rev. Letts, 81 (1998), 337–340 | DOI