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