43 citations · 166 across the 17 of their papers we have counts for
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An efficient geometric method for incompressible hydrodynamics on the sphere
Paolo Cifani, Milo Viviani, Klas Modin
We present an efficient and highly scalable geometric method for two-dimensional ideal fluid dynamics on the sphere. The starting point is Zeitlin's finite-dimensional model of hyd…
On the infinite dimension limit of invariant measures and solutions of Zeitlin's 2D Euler equations
Franco Flandoli, Umberto Pappalettera, Milo Viviani
In this work we consider a finite dimensional approximation for the 2D Euler equations on the sphere, proposed by V. Zeitlin, and show their convergence towards a solution to Euler…
Casimir preserving spectrum of two-dimensional turbulence
Paolo Cifani, Milo Viviani, Erwin Luesink +2
We present predictions of the energy spectrum of forced two-dimensional turbulence obtained by employing a structure-preserving integrator. In particular, we construct a finite-mod…