Seminar Event Detail


MCAIM Graduate Seminar

Date:  Friday, February 04, 2022
Location:  2866 East Hall (4:00 PM to 5:00 PM)

Title:  Formation and scaling of vortex rings generated from shock-accelerated interfaces

Abstract:   Vortex rings are known to emerge in a variety of flows relevant to astrophysics, high energy density physics, and inertial confinement fusion, where they can significantly affect the flow through the transport of vorticity. We systematically study the generation and scaling of such rings utilizing a numerical platform involving a shock passing through an interface separating two dissimilar fluids along which there is a hole filled with the heavier fluid. As the shock passes through the interface, it deposits baroclinic vorticity that induces a complex phase inversion process ultimately resulting in the ejection of a ring from the hole. By modulating the aspect ratio of the hole, the amount of vorticity in the flow available to the ring is controlled. Based on the aspect ratio of the ring, we find that two distinct flow regimes emerge. For small aspect ratios, a single ring is generated that contains the majority of the vorticity deposited by the shock. Beyond a critical hole aspect ratio, however, the circulation of the ejected ring saturates, and the additional vorticity in the flow accumulates in a jet that trails the leading ring. This behavior suggests the existence of a fundamental formation number governing the scaling of rings generated from shock-accelerated interfaces, including those in Richtmyer-Meshkov flows.

This work is funded by the U.S. Department of Energy (DOE) NNSA Center of Excellence under cooperative agreement number DE-NA0003869 and by the U.S. DOE NNSA Stewardship Science Graduate Fellowship under grant DE-NA0003960.

Files:


Speaker:  Michael Wadas
Institution:  University of Michigan

Event Organizer:     

 

Edit this event (login required).
Add new event (login required).
For access requests and instructions, contact math-webmaster@umich.edu

Back to previous page
Back to UM Math seminars/events page.