Abstract
A nonlinear motion of vortex sheets with a non-uniform current is investigated using the vortex blob method. The fluid interface forms a double layered current-vortex sheet due to the boundary condition possessing the induction equation. We can prove that the current only flows on the interface and that does not appear in the bulk when we apply the initial magnetic field to be parallel to the interface. We show that the current induced on a vortex sheet leads to a strong amplification of the magnetic field, taking the motion of vortex sheets in magnetohydrodynamic Richtmyer–Meshkov instability as an example. When the initial Lorentz force term is large, an oscillation due to the Alfvén wave appears and the nonlinear growth is suppressed.
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