# Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere

@article{Qi2013HyperviscosityAS, title={Hyperviscosity and statistical equilibria of Euler turbulence on the torus and the sphere}, author={Wei Qi and J. B. Marston}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2013}, volume={2014} }

Coherent structures such as jets and vortices appear in two-dimensional (2D) turbulence. To gain insight into both numerical simulation and equilibrium statistical mechanical descriptions of 2D Euler flows, the Euler equation with added hyperviscosity is integrated forward in time on the square torus and on the sphere. Coherent structures that form are compared against a hierarchy of truncated Miller–Robert–Sommeria equilibria. The energy-circulation-enstrophy MRS-2 description produces a…

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