Summary
Numerical simulations are presented of the interaction between a Mach-8-shock and vorticity ‘waves’ in one case and dilatation ‘waves’ in the other using the two-dimensional Euler equations. Due to compressibility effects high amplification rates of the fluctuations and strong shock deformation are observed in the second case. An explanation of some of these effects is given on the basis of rapid distortion arguments. They provide insight into more complicated cases of shock/turbulence interaction.
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References
Kovaznay, L. S. G.: Turbulence in supersonic flow. J. Aero. Sci. 20, 657–682 (1953).
Morkovin, M. V.: Effects of compressibility on turbulent flows. Mécanique de la turbulence. Paris: CNRS, 1962.
Blaisdell, G. A., Mansour, N. N., Reynolds, W. C.: Numerical simulations of compressible homogeneous turbulence. Report No. TF-50, Dept. of Mech. Eng., Stanford Univ., CA 1991.
Sarkar, S., Erlebacher, G., Hussaini, M. Y., Kreiss, H. O.: The analysis and modelling of dilatational terms in compressible turbulence. J. Fluid Mech. 227, 473–493 (1991).
Hannappel, R., Friedrich, R.: Interaction of isotropic turbulence with a normal shock wave. In: Advances in Turbulence IV (Nieuwstadt, F. T. M., ed.). Appl. Sci. Res. 51, 507–512 (1993).
Lee, S., Moin, P, Lele, S. K.: Interaction of isotropic turbulence with a shock wave. Report No. TF-52, Dept. of Mech. Eng., Stanford Univ., CA 1992.
Zang, T. A., Hussaini, M. Y., Bushnell, D. M.: Numerical computations of turbulence amplification in shock-wave interaction. AIAA J. 22, 13–21 (1984).
McKenzie, J. F., Westphal, K. O.: Interaction of linear waves with oblique shock waves. Phys. Fluids 11, 2350–2362 (1968).
Harten, A., Enquist, B., Osher, S., Chakravarthy, S.: Uniformly high order accurate essentially non-oscillatory schemes III. J. Comp. Phys. 71, 231–303 (1987).
Roe, P. L.: Approximate Riemann solvers, parameter vectors and difference schemes. J. Comp. Phys. 43, 357–372 (1981).
Harten, A., Hyman, M.: Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. J. Comp. Phys. 49, 235–269 (1983).
Hauser, Th., Hannappel, R., Friedrich, R.: Testing high-order shock-capturing schemes in 2D super-and hypersonic flows. — In: Proceedings of the 1st European Symposium on Aerothermodynamics for Space Vehicles, ESTEC, Noordwijk, May 28–30, 1991, (Berry, W, et al., eds.), pp. 393–399. Noordwijk: ESA Publ. 1991.
Friedrich, R., Hannappel, R., Hauser, Th.: Stoß-Wellen-und Stoß-Turbulenz-Wechselwirkung. In: Turbulente Strömungen in Forschung und Praxis (Leder, A., ed.), pp. 131–144. Aachen: Shaker 1993.
Zeman, O., Coleman, G. N.: Compressible turbulence subjected to shear and rapid compression. In: Turbulent shear flows Vol. 8 ( Durst, W., et al., eds.). Berlin Heidelberg New York Tokyo: Springer 1993.
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© 1994 Springer-Verlag
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Friedrich, R., Hannappel, R. (1994). On the interaction of wave-like disturbances with shocks — two idealizations of the shock/turbulence interaction problem. In: Schnerr, G.H., Bohning, R., Frank, W., Bühler, K. (eds) Fluid- and Gasdynamics. Acta Mechanica, vol 4. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9310-5_8
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DOI: https://doi.org/10.1007/978-3-7091-9310-5_8
Publisher Name: Springer, Vienna
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