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 thermostating device. The thermostat can model either an infinite or finite reservoir. The thermostat variables are stochastically forced. Numerical experiments are in excellent agreement with the two-scale simulations of Bühler (Phys. Fluids, 2002).
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CWI
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Dubinkina, S., Frank, J., & Leimkuhler, B. (2009). A thermostat closure for point vortices. Modelling, Analysis and Simulation [MAS]. CWI.