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Sound wave reflection coefficient versus incidence angle (the indications are the same as in Fig. 4).
Source publication
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...
Context in source publication
Context 1
... in Fig. 7 is the reflection coefficient against the incidence angle. It is seen again that the calculated results conform better to the classical theory. A small discrepancy of these calculations with the theory predictions is distinguished only in the vicinity of the critical angle, where the theory predicts the sharp increase of the reflection ...
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Citations
Shock-capturing methods for numerical fluid dynamics are capable of correctly representing the flow conditions across shocks. However, there is no guarantee that the methods remain equally applicable for unsteady problems of shock–disturbance interaction. Based on the results of wide parametric computations, this paper demonstrates an inherent weakness of shock-capturing methods related to an ambiguous station of a stationary shock on a grid cell. To this end, the interaction of stationary shocks of different intensities with elementary waves of acoustic and nonacoustic nature is investigated in a simplified formulation. The computations reveal unpredictable postshock amplitudes of disturbances unless the viscous structure of the shock is sufficiently resolved. A shock resolution criterion and possible cures are suggested and discussed.
