Geodesic
Modeling the time-dependent interaction between a~sonic jet and a~barrier
Matematičeskoe modelirovanie, Tome 19 (2007) no. 8, pp. 31-36.

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The Godunov method is applied for the numerical modeling of the sonic underexpanded jet outflow into an ambient space at rest and the jet interaction with a plane barrier set perpendicular to the axis of symmetry. The results obtained are in good agreement with experimental data. Possible mechanisms of the generation of self-oscillations are discussed. 
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O. V. Bocharova; M. G. Lebedev. Modeling the time-dependent interaction between a~sonic jet and a~barrier. Matematičeskoe modelirovanie, Tome 19 (2007) no. 8, pp. 31-36. http://geodesic.mathdoc.fr/item/MM_2007_19_8_a3/

[1] J. Hartmann, “A new method for the generation of sound waves”, Phys. Rev., 20:1 (1922), 114–115

[2] J. Hartmann, “On a new method for the generation of sound waves”, Phys. Rev., 20:6 (1922), 719–727 | DOI | MR

[3] L. H. Henderson, “Experiments on the impingement of a supersonic jet on a flat plate”, Z. Angew. Math. Phys., 17 (1966), 533–569 | DOI

[4] Ya. Ya. Ginzburg, B. G. Semshetenko, V. S. Terpigorev, V. N. Uskov, “Nekotorye osobennosti vzaimodeistviya sverkhzvukovoi nedorasshirennoi strui s ploskoi pregradoi”, Inzh.-fiz. zh., 19:3 (1970), 412–447 | MR

[5] O. I. Gubanova, V. V. Lunev, L. V. Shastinina, “O tsentralnoi sryvnoi zone pri vzaimodeistvii sverkhzvukovoi nedorasshirennoi strui s pregradoi”, Izvestiya AN SSSR, Mekhanika zhidkosti i gaza, 1971, no. 2, 135–138

[6] R. H. Johnson, “Instability in hypersonic flow about blunt bodies”, Phys. Fluids, 2:5 (1959), 526–532 | DOI | Zbl

[7] V. N. Glaznev, V. I. Zapryagaev, V. N. Uskov i dr., Struinye i nestatsionarnye techeniya v gazovoi dinamike, Izd-vo SO RAN, Novosibirsk, 2000

[8] J. Iwamoto, B. E. L. Deccker, “Development of flow field when a symmetrical underexpanded sonic jet impinges on a flat baffle”, J. Fluid Mech., 113 (1981), 299–313 | DOI | Zbl

[9] V. B. Bazarov, G. S. Roslyakov, Yu. N. Sadkov, M. V. Shustova, “Sverkhzvukovye neraschetnye strui i ikh vzaimodeistvie s pregradami”, Matem. modelirovanie, 8:7 (1996), 19–32 | Zbl

[10] S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, A. N. Kraiko, G. P. Prokopov, Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[11] M. G. Lebedev, V. V. Sitnik, “K raschetu techenii szhimaemogo gaza s beskonechnymi gradientami skorosti i davleniya”, Prikladnaya matematika i informatika, 2005, no. 20, 40–57

[12] A. Powell, “The sound-producing oscillations of round underexpanded jets impinging on normal plates”, J. Acoust. Soc. Am., 83:2 (1988), 515–533 | DOI | MR

[13] B. Sh. Albazarov, Chislennoe modelirovanie vzaimodeistviya sverkhzvukovoi strui s pregradoi, dissertatsiya na soiskanie uchenoi stepeni kandidata fiz.-mat.nauk, LGU, L., 1991

[14] A. N. Kraiko, K. S. Pyankov, “Techeniya idealnogo gaza s otryvnymi zonami i nestatsionarnymi kontaktnymi razryvami slozhnoi formy”, Izvestiya RAN, Mekhanika zhidkosti i gaza, 2006, no. 5, 39–54