Linear interaction approximation for shock/disturbance interaction in a Noble-Abel stiffened gas

When departure from the ideal gas equation of state is considered, the Noble-Abel stiffened gas model is an appealing and versatile candidate due to its simple form. The linear interaction approximation formalism is extended to consider non-ideal gas effects introduced by this equation of state. Kovasznay decomposition and adequate definition of the energy of disturbances are provided in the context of this equation of state. Changes with respect to ideal gas are investigated on transfer functions, critical angle, and compression factor. Those differences yield concrete effects on the damping and transfer of fluctuations across shock waves. Those changes are further illustrated by considering the interaction of an entropy spot with a Mach 3 stationary shock wave.

Automated summary

When considering departure from ideal gas behavior, the Noble-Abel stiffened gas model proves to be a simple and appealing candidate. The linear interaction approximation is extended to account for non-ideal gas effects introduced by this equation of state. The changes with respect to ideal gas are analyzed in terms of transfer functions, critical angle, and compression factor, highlighting their impact on damping and transfer of fluctuations across shock waves. This is further demonstrated through the interaction of an entropy spot with a Mach 3 stationary shock wave.