Abstract
The motion of vortex sheets in three-dimensional inviscid and incompressible Richtmyer–Meshkov and Rayleigh–Taylor instabilities (RMI and RTI) with axial symmetry is investigated analytically and numerically. A comparison is made with the homogeneous case where density stratification does not exist, and possible solutions are discussed for RMI and RTI. When density stratification exists, it is shown that azimuthal motion (deformation) of the vortex sheet occurs without a swirl flow. This azimuthal motion is different from the rotational motion by the swirl. We present the numerical results for the interfacial motion in RMI and RTI with axial symmetry obtain by the vortex blob method, and discuss the differences from the motion of a vortex sheet in a homogeneous fluid.
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