A thermostat closure for point vortices
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).
|Keywords||thermostat methods, point vortex fluid, closure models, geophysical fluid dynamics|
|MSC||Hamiltonian systems including symplectic integrators (msc 65P10), Meteorology and atmospheric physics (msc 86A10)|
|Series||Modelling, Analysis and Simulation [MAS]|
|Note||Supported by the Research Council for Earth and Life Sciences (ALW) with financial aid from the Netherlands Organization for Scientific Research (NWO).|
Dubinkina, S, Frank, J.E, & Leimkuhler, B.J. (2009). A thermostat closure for point vortices. Modelling, Analysis and Simulation [MAS]. CWI.