no code implementations • 23 Dec 2020 • Dan Crisan, Darryl D. Holm, Oliver D. Street
The classic evolution equations for potential flow on the free surface of a fluid flow are not closed because the pressure and the vertical velocity dynamics are not specified on the free surface.
Fluid Dynamics Mathematical Physics Dynamical Systems Mathematical Physics Chaotic Dynamics
no code implementations • 24 Nov 2020 • Darryl D. Holm, Ruiao Hu
This paper introduces an energy-preserving stochastic model for studying wave effects on currents in the ocean mixing layer.
Fluid Dynamics Dynamical Systems
no code implementations • 10 Jun 2020 • Darryl D. Holm, Erwin Luesink, Wei Pan
Asymptotic expansion of the TRSW model equations in these three small parameters leads to the deterministic thermal versions of the Salmon's L1 (TL1) model and the thermal quasi-geostrophic (TQG) model, upon expanding in the neighbourhood of thermal quasi-geostrophic balance among the flow velocity and the gradients of free surface elevation and buoyancy.
Fluid Dynamics Geophysics
1 code implementation • 29 Mar 2017 • Alexis Arnaudon, Darryl D. Holm, Stefan Sommer
We introduce a stochastic model of diffeomorphisms, whose action on a variety of data types descends to stochastic evolution of shapes, images and landmarks.
no code implementations • 16 Dec 2016 • Alexis Arnaudon, Darryl D. Holm, Akshay Pai, Stefan Sommer
In the study of shapes of human organs using computational anatomy, variations are found to arise from inter-subject anatomical differences, disease-specific effects, and measurement noise.