Two dimensional turbulence in inviscid fluids or guiding center plasmas
Abstract
Analytic theory for twodimensional turbulent equilibria for the inviscid NavierStokes equations is examined mathematically. Application of the technique to electrostatic guiding center plasma is discussed. A good fit is demonstrated for the approach to a predicted energy per Fourier mode obtained from a twotemperature canonical ensemble. Negative as well as positive temperature regimes are explored. Fluctuations about the mean energy per mode also compare well with theory. In the regime of alpha less than zero, beta greater than zero, with the minimum value of alpha plus beta times k squared near zero, contour plots of the stream function reveal macroscopic vortex structures similar to those seen previously in discrete vortex simulations. Eulerian direct interaction equations, which can be used to follow the approach to inviscid equilibrium, are derived.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1975
 Bibcode:
 1975STIN...7516768S
 Keywords:

 Equilibrium Equations;
 Inviscid Flow;
 NavierStokes Equation;
 Two Dimensional Flow;
 Flow Characteristics;
 Numerical Analysis;
 Stream Functions (Fluids);
 Vortices;
 Fluid Mechanics and Heat Transfer