3.7k citations · 10.3k across the 196 of their papers we have counts for
200 papers
The Geometry of Stochastic Fluid Dynamics
Darryl D. Holm
Stochastic geometric mechanics (SGM) is known for its potential utility in quantifying uncertainty in global climate modelling of the Earth's ocean and atmosphere while also preser…
Geometric Mechanics of the Vertical Slice Model
Darryl D. Holm, Ruiao Hu, Oliver D. Street
The goals of the present work are to: (i) investigate the dynamics of oceanic frontogenesis by taking advantage of the geometric mechanics underlying the class of Vertical Slice Mo…
Stochastic Geometric Mechanics for Fluid Dynamics
Darryl D. Holm, Erwin Luesink
Stochastic geometric mechanics (SGM) is known for its potential utility in quantifying uncertainty in global climate modelling of the Earth's ocean and atmosphere while also preser…
Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models
Bertrand Chapron, Dan Crisan, Darryl Holm +3
In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining…
On the interactions between mean flows and inertial gravity waves in the WKB approximation
Darryl D. Holm, Ruiao Hu, Oliver D. Street
We derive a Wentzel-Kramers-Brillouin (WKB) closure of the generalised Lagrangian mean (GLM) theory by using a phase-averaged Hamilton variational principle for the Euler--Boussine…
Lagrangian reduction and wave mean flow interaction
Darryl D. Holm, Ruiao Hu, Oliver D. Street
How does one derive models of dynamical feedback effects in multiscale, multiphysics systems such as wave mean flow interaction (WMFI)? We shall address this question for hybrid dy…