Thermostat Closure for Point Vortices

摘要

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 innite or nite reservoir. The thermostat variables are stochastically forced. Numerical experiments are in excellent agreement with the two-scale simulations of Buhler.