Non-Linear Development of Interface Perturbations Under Joint Impulsive and Constant Accelerations
The two-dimensional problem of the behavior of the interface between two ideal incompressible liquids in a gravitational field is studied on the basis of a vortex method. For the case of stationary (Rayleigh- Taylor instability) and impulsive (Richtmyer-Meshkov instability) accelerations and their joint action the method allows to determine some asymptotic laws of bubble and spike evolution in the non-linear stage for different values of the Atwood number. The applicability of the technique to the description of real gas-dynamic flows is shown and comparisons of calculated and experimental results (obtained in shock tubes) are given.
Key wordsInterface insability Nonlinear effects Acceleration Vortex method
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