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4 papers · 2 filters
Development of high vorticity structures and geometrical properties of the vortex line representation
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
The incompressible three-dimensional Euler equations develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling …
A three dimensional Dirichlet-to-Neumann operator for waves over topography
David Andrade, André Nachbin
Surface water waves are considered propagating over highly variable non-smooth topographies. For this three dimensional problem a Dirichlet-to-Neumann (DtN) operator is constructed…
Development of high vorticity in incompressible 3D Euler equations: influence of initial conditions
D. S. Agafontsev, E. A. Kuznetsov, A. A. Mailybaev
The incompressible three-dimensional ideal flows develop very thin pancake-like regions of increasing vorticity. These regions evolve with the scaling $ω_{\max}(t)\propto\ell(t)^{-…
Optimal subgrid scheme for shell models of turbulence
Luca Biferale, Alexei A. Mailybaev, Giorgio Parisi
We discuss a theoretical framework to define an optimal sub-grid closure for shell models of turbulence. The closure is based on the ansatz that consecutive shell multipliers are s…