3 citations · 5 across the 3 of their papers we have counts for
4 papers
A geometric look at momentum flux and stress in fluid mechanics
Andrew D. Gilbert, Jacques Vanneste
We develop a geometric formulation of fluid dynamics, valid on arbitrary Riemannian manifolds, that regards the momentum-flux and stress tensors as 1-form valued 2-forms, and their…
Eroding dipoles and vorticity growth for Euler flows in : The hairpin geometry as a model for finite-time blowup
Stephen Childress, Andrew D. Gilbert
A theory of an eroding "hairpin" vortex dipole structure in three dimensions is developed, extending our previous study of an axisymmetric eroding dipole without swirl. The hairpin…
Geometric generalised Lagrangian mean theories
A. D. Gilbert, J. Vanneste
Many fluctuation-driven phenomena in fluids can be analysed effectively using the generalised Lagrangian mean (GLM) theory of Andrews & McIntyre (1978). This theory relies on parti…
Eroding dipoles and vorticity growth for Euler flows in I. Axisymmetric flow without swirl
Stephen Childress, Andrew D. Gilbert, Paul Valiant
A review of analyses based upon anti-parallel vortex structures suggests that structurally stable vortex structures with eroding circulation may offer a path to the study of rapid…