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

Volume 41, Issue 1, 2010, pp. 47-57
DOI: 10.1615/TsAGISciJ.v41.i1.50
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ABSTRACT

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.

CITED BY
  1. Chuvakhov Pavel V., Shock-Capturing Anomaly in the Interaction of Unsteady Disturbances with a Stationary Shock, AIAA Journal, 2021. Crossref

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