Large amplitude theory of a shock-accelerated instability in compressible fluids
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The interface between fluids of different densities is unstable under acceleration by a shock wave. A previous small amplitude linear theory for the compressible Euler equation failed to provide a quantitatively correct prediction for the growth rate of the unstable interface. In this paper, to include dominant nonlinear effects in a large amplitude regime,we present high-order perturbation equations of the Euler equation, and boundary conditions for the contact interface and shock waves.
Abstract
The interface between fluids of different densities is unstable under acceleration by a shock wave. A previous small amplitude linear theory for the compressible Euler equation failed to provide a quantitatively correct prediction for the growth rate of the unstable interface. In this paper, to include dominant nonlinear effects in a large amplitude regime,we present high-order perturbation equations of the Euler equation, and boundary conditions for the contact interface and shock waves.
참고문헌 (16)
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