17 citations · 17 across the 4 of their papers we have counts for
4 papers
Addendum: Hidden symmetries, trivial conservation laws and Casimir invariants in geophysical fluid dynamics (2018 J. Phys. Commun. 2 115018)
Martin Charron, Ayrton Zadra
An extension is proposed to the internal symmetry transformations associated with mass, entropy and other Clebsch-related conservation in geophysical fluid dynamics. Those symmetry…
High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid
Stéphane Gaudreault, Martin Charron, Valentin Dallerit +1
A novel numerical approach to solving the shallow-water equations on the sphere using high-order numerical discretizations in both space and time is proposed. A space-time tensor f…
On the dissociation between potential vorticity conservation and symmetries
Martin Charron, Ayrton Zadra
Using a four-dimensional manifestly covariant formalism suitable for classical fluid dynamics, it is shown that the conservation of potential vorticity is not associated with any s…
Non-trivial and trivial conservation laws in covariant formulations of geophysical fluid dynamics
Martin Charron, Ayrton Zadra
Using a manifestly invariant Lagrangian density based on Clebsch fields and suitable for geophysical fluid dynamics, the conservation of mass, entropy, momentum and energy, and the…