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TsAGI Science Journal

ISSN Imprimir: 1948-2590
ISSN On-line: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v41.i1.50
pages 47-57

NUMERICAL INVESTIGATION OF THE INTERACTION OF ACOUSTIC DISTURBANCES WITH A SHOCK WAVE

A. N. Kudryavtsev
Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Siberian Division 4/1, Institutskaya str., Novosibirsk, 630090, Russia
A. Yu. Ovsyannikov
Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia and Ecole Centrale de Lyon, 36, av. Guy-de-Collongue, 69134, Ecully Cedex, France

RESUMO

The interaction of acoustic waves with a shock wave is simulated numerically. Both sound reflection and refraction are investigated. Numerical simulations are performed with resolving the interior viscous structure of shock transition. A high-order compact-difference scheme is used to solve the compressible Navier-Stokes equations (NS). It is shown that in the limiting case when the wavelength of incident disturbances is much greater than the shock thickness, the results of simulations within a wide range of Mach numbers and angles of incidence of disturbances correspond very accurately to the predictions of the classical linear inviscid theory. The results obtained enable an unambiguous conclusion on the incorrectness of the recently proposed alternative theory of interaction of shock waves with small disturbances to be made.