The nonlinear interaction between bulk point vortices and a vortex sheet with initially nonuniform velocity shear is investigated theoretically and numerically by use of the vortex method, taking the incompressible Richtmyer–Meshkov instability as an example. As the point vortices approach the interface, i.e., a nonuniform vortex sheet, they increase the local sheet strength of the vortex sheet, which causes different types of interface deformation depending on the sign of their circulation of point vortices. For example, when the circulation of a point vortex is the opposite sign of the local sheet strength, it induces a new type of vortex pair with an local enhanced sheet vortex. We refer to that as a pseudo-vortex pair in the current study. The pseudo-vortex pair creates a local satellite mushroom at the fully nonlinear stage. The obtained results indicate that the complexity of the interface structure is enhanced if the bulk vortices exist.
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