32 citations · 55 across the 16 of their papers we have counts for
7 papers · 1 filter
Variational derivation of a moist thermal rotating shallow water model
Colin J. Cotter, Darryl D. Holm, Oliver D. Street
We introduce a new energy-conserving, moist shallow water model with thermal stratification and rotation. The model is derived from a variational principle, using a Lagrangian expr…
Collisions of Burgers Bores with Nonlinear Waves
Albert. Dombret, Darryl D. Holm, Ruiao Hu +2
This paper treats nonlinear wave current interactions in their simplest form, as an overtaking collision. In one spatial dimension, the paper investigates the collision interaction…
Geometric theory of perturbation dynamics around non-equilibrium fluid flows
Darryl D. Holm, Ruiao Hu, Oliver D. Street
The present work investigates the evolution of linear perturbations of time-dependent ideal fluid flows with advected quantities, expressed in terms of the second order variations…
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…
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…
A structure preserving stochastic perturbation of classical water wave theory
Oliver D. Street
The inclusion of stochastic terms in equations of motion for fluid problems enables a statistical representation of processes which are left unresolved by numerical computation. He…
Wave-current interaction on a free surface
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 t…