112 citations · 1.1k across the 65 of their papers we have counts for
6 papers · 1 filter
Modelling uncertainty using stochastic transport noise in a 2-layer quasi-geostrophic model
Colin Cotter, Dan Crisan, Darryl D. Holm +2
The stochastic variational approach for geophysical fluid dynamics was introduced by Holm (Proc Roy Soc A, 2015) as a framework for deriving stochastic parameterisations for unreso…
Weak dual pairs and jetlet methods for ideal incompressible fluid models in dimensions
C. J. Cotter, J. Eldering, D. D. Holm +2
We review the role of dual pairs in mechanics and use them to derive particle-like solutions to regularized incompressible fluid systems. In our case we have a dual pair resulting…
An adaptive selective frequency damping method
Bastien E. Jordi, Colin J. Cotter, Spencer J. Sherwin
The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has…
A jetlet hierarchy for ideal fluid dynamics
C. J. Cotter, D. D. Holm, H. O. Jacobs +1
Truncated Taylor expansions of smooth flow maps are used in Hamilton's principle to derive a multiscale Lagrangian particle representation of ideal fluid dynamics. Numerical simula…
Variational formulations of sound-proof models
C. J. Cotter, D. D. Holm
We derive a family of ideal (nondissipative) 3D sound-proof fluid models that includes both the Lipps-Hemler anelastic approximation (AA) and the Durran pseudo-incompressible appro…
An Euler Poincaré framework for the multilayer Green Nagdhi equations
James R. Percival, Colin J. Cotter, Darryl D. Holm
The Green Nagdhi equations are frequently used as a model of the wave-like behaviour of the free surface of a fluid, or the interface between two homogeneous fluids of differing de…