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Baroclinic Circulation Generation on Shock Accelerated Slow/fast Gas Interfaces

Vorticity is deposited baroclinically by shock waves on density inhomogeneities. We present 2D analytical results for , the circulation deposition per unit unshocked interface length, within the regular refraction regime. We also derive scalings for strong and weak shocks. Our results are validated by quantiications of numerical simulations of the compressible Euler equations using a second-order Godunov code. The results derived for the planar interface are generalized to calculate the total circulation deposition on sinusoidal interfaces.