Turbulence amplification by a shock wave and rapid distortion theory. (English) Zbl 0799.76029

Jacquin, L.; Cambon, C.; Blin, E.

Phys. Fluids, A 5, No. 10, 2539-2550 (1993).

Amplification of turbulent kinetic energy in an axial compression is examined in the frame of homogeneous rapid distortion theory by using the Craya-Herring formalism. The results of the theory are first compared to results of direct numerical simulations on homogeneous axial compression. The applicability of this homogeneous approach to the shock wave turbulence interaction is then discussed.

MSC:

76F05	Isotropic turbulence; homogeneous turbulence
76L05	Shock waves and blast waves in fluid mechanics

Keywords:

Helmholtz decomposition; solenoidal-acoustical reime; shock-induced compression; Craya-Herring formalism; homogeneous axial compression

References:

[1]	Délery J., AGARDograph 280 (1980)
[2]	Dussauge J. P., AGARDograph-AG- 315 (1989)
[3]	DOI: 10.1017/S0022112088002800 · doi:10.1017/S0022112088002800
[4]	DOI: 10.1007/BF00187225 · doi:10.1007/BF00187225
[5]	DOI: 10.1063/1.858443 · doi:10.1063/1.858443
[6]	DOI: 10.1063/1.857960 · Zbl 0745.76034 · doi:10.1063/1.857960
[7]	DOI: 10.1017/S0022112090002075 · Zbl 0692.76054 · doi:10.1017/S0022112090002075
[8]	DOI: 10.1063/1.857331 · Zbl 0691.76057 · doi:10.1063/1.857331
[9]	DOI: 10.2514/3.9642 · doi:10.2514/3.9642
[10]	DOI: 10.2514/3.9155 · doi:10.2514/3.9155
[11]	Sabel’nikov V. A., Fluid Mech. Sov. Res. 4 pp 46– (1975)
[12]	DOI: 10.1017/S0022112078002682 · Zbl 0401.76018 · doi:10.1017/S0022112078002682
[13]	DOI: 10.1017/S0022112092002404 · Zbl 0825.76343 · doi:10.1017/S0022112092002404
[14]	Debiéve J. F., Indian J. Technol. 20 pp 90– (1982)
[15]	DOI: 10.1063/1.1694822 · Zbl 0366.76045 · doi:10.1063/1.1694822