Subscale modeling of two-dimensional point vortex dynamics

Dubinkina, Svetlana;Frank, Jason;Leimkuhler, Ben
(2009) Thirty-fourth Woudschoten Conference of the Dutch and Flemish Numerical Analysis Communities — Location: Zeist, the Netherlands (7.October.2009)

Files

No attached file found for this publication.

Details

Authors
  • Dubinkina, SvetlanaUCLouvain
    Author
  • Frank, JasonCWI, the Netherlands
    Author
  • Leimkuhler, BenThe University of Edinburgh, Scotland
    Author
Abstract
Using the point vortex flow on a disc as a prototype, we present a closure for incompressible ideal fluid flow in the form of a generalized thermostat device. The thermostat can model either an infinite or finite reservoir. The thermostat variable is stochastically forced. Numerical experiments are in excellent agreement with the two-scale simulations of Buhler (Phys. Fluids, 2002). We also check ergodicity numerically, and compute eddy diffusivity.

Citations

  • APA
  • Chicago
  • FWB

Dubinkina, S., Frank, J., & Leimkuhler, B. (2009). Subscale modeling of two-dimensional point vortex dynamics. Thirty-fourth Woudschoten Conference of the Dutch and Flemish Numerical Analysis Communities, Zeist, the Netherlands. https://hdl.handle.net/2078.5/158556