Modeling of self-oscillations and searching of new self-oscillatory flows

V. I. Pinchukov

Matematičeskoe modelirovanie, Tome 23 (2011) no. 8, pp. 97-109.

Résumé

Possible mechanism of self-oscillations in the flows with shocks and contact discontinuities is suggested. Self-oscillatory, according to supposed mechanism, flows in heliosphere and near blunt cones in inhomogeneous stream are considered. Two-dimensional Reynolds equations with turbulent algebraic viscosity are solved by implicit third order Runge–Kutta scheme. The results of numerical investigations are presented.

Détail

Keywords: self-oscillatory flows, Helioshpere, Reynolds equations, high resolution methods, Runge–Kutta schemes.

Bibliographie

[1] Pinchukov V. I., “Chislennoe modelirovanie nestatsionarnykh techenii s perekhodnymi rezhimami”, ZhVM i MF, 49:10 (2009), 1865–1873

[2] Pinchukov V. I., “Chislennoe modelirovanie avtokolebanii i poisk novykh avtokolebatelnykh reshenii”, Materialy VIII Mezhdunarodnoi konferentsii NPNJ-2010 (25–31 maya 2010. Alushta, Krym), Izd-vo MAI-PRINT, M., 226–229

[3] Alekseev A. K., “K optimalnomu upravleniyu perekhodom mezhdu regulyarnym i makhovskim vzaimodeistviem udarnykh voln”, Materialy VIII Mezhdunarodnoi konferentsii NPNJ-2010 (25–31 maya 2010. Alushta, Krym), Izd-vo MAI-PRINT, M., 212–224

[4] Volkov K. N., “Vzaimodeistvie krugloi turbulentnoi strui s ploskoi pregradoi”, PMTF, 48:1 (2007), 55–67 | MR | Zbl

[5] Pinchukov V. I., “Matematicheskoe modelirovanie kolebanii, voznikayuschikh pri vtekanii strui v polost”, Vychislitelnye tekhnologii, 12:6 (2007), 73–80 | Zbl

[6] Bocharova O. V., Lebedev M. G., “Modelirovanie nestatsionarnogo vzaimodeistviya zvukovoi strui s pregradoi”, Matematicheskoe modelirovanie, 19:8 (2007), 31–36 | Zbl

[7] Pinchukov V. I., “Chislennoe issledovanie avtokolebatelnykh techenii neyavnoi skhemoi chetvertogo poryadka”, Vychislitelnye tekhnologii, 10:2 (2005), 114–126 | Zbl

[8] Antonov A. N., Elizarova T. G., Pavlov A. N., Chetverushkin B. N., “Matematicheskoe modelirovanie kolebatelnykh rezhimov pri obtekanii tela s igloi”, Matematicheskoe modelirovanie, 1:1 (1989), 13–23 | Zbl

[9] Bazyma L. A., “O vliyanii vduva na stabilizatsiyu techeniya pri obtekanii osesimmetrichnogo tela s polostyu, obraschennoi navstrechu sverkhzvukovomu nabegayuschemu potoku”, PMTF, 39:4 (1998), 84–90

[10] Adrianov A. L., Bezrukov A. A., Gaponenko Yu. A., “Chislennoe issledovanie vzaimodeistviya sverkhzvukovoi strui gaza s ploskoi pregradoi”, PMTF, 41:4 (2000), 106–111 | Zbl

[11] Pinchukov V. I., “O chislennom modelirovanii nestatsionarnykh techenii na bolshikh intervalakh po vremeni s ispolzovaniem neyavnykh skhem vysokikh poryadkov”, Matematicheskoe modelirovanie, 16:8 (2004), 59–69 | Zbl

[12] Pinchukov V. I., “O chislennom reshenii uravnenii vyazkogo gaza neyavnoi skhemoi Runge-Kutty tretego poryadka”, ZhVM i MF, 42:6 (2002), 896–904 | MR | Zbl

[13] Baranov V. B., Fabr H. J., Ruderman M. S., “Investigation of macroscopic instabilities at the heliopause boundary surface”, Astronomy and Astrophysics, 261 (1992), 341–347

[14] Pogorelov N. V., “Nonstationary phenomena in solar wind and interstellar medium interaction”, Astrophys. Space Sci., 274:1/2 (2000), 115–122 | DOI

[15] Matsuda T., Fujimoto J., Shima E., Sawada K., Inaguchi T., “Numerical simulations of interaction between stellar wind and interstellar medium”, Prog. Theor. Phys., 81:4 (1989), 810–822 | DOI

[16] Shreder K., Fahr H. J., “Solar cykle induced variations of outer heliospheric structures”, Geophys. Res. Lett., 30(2) (2003), 1045–1050 | DOI

[17] Zank G. P., Muller H.-R., “The dynamical heliosphere”, J. Geophys. Res., 108:A6 (2003), 1240–1253 | DOI

[18] Izmodenov V. V., Malama Yu. G., Ruderman M. S., “Solar cycle influence on the interaction of the solar wind with local interstellar cloud”, Astron. Astrophys., 429 (2005), 1069–1080 | DOI | Zbl