The interaction of a planar shock wave with a square cavity is studied experimentally and numerically. It is shown that such a complex, time-dependent, process can be modelled in a relatively simple manner. The proposed physical model is the Euler equations which are solved numerically, using the second-order-accurate high-resolution GRP scheme, resulting in very good agreement with experimentally obtained findings. Specifically, the wave pattern is numerically simulated throughout the entire interaction process. Excellent agreement is found between the experimentally obtained shadowgraphs and numerical simulations of the various flow discontinuities inside and around the cavity at all times. As could be expected, it is confirmed that the highest pressure acts on the cavity wall which experiences a head-on collision with the incident shock wave while the lowest pressures are encountered on the wall along which the incident shock wave diffracts. The proposed physical model and the numerical simulation used in the present work can be employed in solving shock wave interactions with other complex boundaries.
The complex flow and wave pattern following an initially planar shock wave
transmitted through a double-bend duct is studied experimentally and theoretically/numerically.
Several different double-bend duct geometries are investigated
in order to assess their effects on the accompanying flow and shock wave attenuation
while passing through these ducts. The effect of the duct wall roughness on the shock
wave attenuation is also studied. The main flow diagnostic used in the experimental
part is either an interferometric study or alternating shadow–schlieren diagnostics.
The photos obtained provide a detailed description of the flow evolution inside the
ducts investigated. Pressure measurements were also taken in some of the experiments.
In the theoretical/numerical part the conservation equations for an inviscid,
perfect gas were solved numerically. It is shown that the proposed physical model
(Euler equations), which is solved by using the second-order-accurate, high-resolution
GRP (generalized Riemann problem) scheme, can simulate such a complex, time-dependent
process very accurately. Specifically, all wave patterns are numerically
simulated throughout the entire interaction process. Excellent agreement is found
between the numerical simulation and the experimental results. The efficiency of a
double-bend duct in providing a shock wave attenuation is clearly demonstrated.
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