Stability of the Stuart Vortices in a Rotating Frame
Linear stability of the two-dimensional Stuart array of co-rotating vortices is investigated in a rotating frame. The effect of the Coriolis force, that acts only on three-dimensional perturbations, is in partial agreement with the Bradshaw-Richardson criterion, that is to say that cyclonic or strong anticyclonic rotation is stabilizing by cut-off of the spanwise wave number, whereas weak anticyclonic rotation enhances non-rotating growth rate of both fundamental and subharmonic modes. The results are compared to simpler model problems, i.e. parallel flow and elliptic vortex in a rotating frame.
KeywordsBasic Flow Coriolis Force Temporal Growth Rate Floquet Mode Subharmonic Mode
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