Presented By: Applied Interdisciplinary Mathematics (AIM) Seminar - Department of Mathematics
AIM Seminar: Enstrophy Dissipation Via Self-Similar Collapse of Point Vortices in Inviscid Flows
Takeshi Gotoda, Tokyo Institute of Technology, Department of Mathematical and Computing Science
Enstrophy dissipation in 2D inviscid flows is a significant property characterizing 2D turbulence. In this study, we consider
point-vortex solutions of the 2D filtered-Euler equations, which are a regularized model of the 2D Euler equations, and show that some of them cause enstrophy dissipation via self-similar collapse of point vortices in the zero limit of a filter scale. The preceding studies have proven the existence of such a dissipating solution for the three point-vortex problem. In this talk, we numerically show that the enstrophy dissipation occurs for the four and five point-vortex problems.
[Contact: R. Krasny]
point-vortex solutions of the 2D filtered-Euler equations, which are a regularized model of the 2D Euler equations, and show that some of them cause enstrophy dissipation via self-similar collapse of point vortices in the zero limit of a filter scale. The preceding studies have proven the existence of such a dissipating solution for the three point-vortex problem. In this talk, we numerically show that the enstrophy dissipation occurs for the four and five point-vortex problems.
[Contact: R. Krasny]
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