21 citations · 66 across the 5 of their papers we have counts for
5 papers
Efficient Large Eddy Simulation for the Discontinuous Galerkin Method
Angus Creech, Adrian Jackson, James Maddison +2
In this paper we present a new technique for efficiently implementing Large Eddy Simulation with the Discontin- uous Galerkin method on unstructured meshes. In particular, we will…
-Strands
Darryl D. Holm, Rossen I. Ivanov, James R. Percival
A -strand is a map for a Lie group that follows from Hamilton's principle for a certain class of -invariant Lagrangians. The…
Waltzing peakons and compacton pairs in a cross-coupled Camassa-Holm equation
Colin Cotter, Darryl Holm, Rossen Ivanov +1
We consider singular solutions of a system of two cross-coupled Camassa-Holm (CCCH) equations. This CCCH system admits peakon solutions, but it is not in the two-component CH integ…
The Square Root Depth Wave Equations
Colin C. Cotter, Darryl D. Holm, James R. Percival
We introduce a set of coupled equations for multilayer water waves that removes the ill-posedness of the multilayer Green-Naghdi (MGN) equations in the presence of shear. The new w…
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…