3 papers
physics.flu-dyn2021
Thermodynamically consistent semi-compressible fluids: a variational perspective
Christopher Eldred, François Gay-Balmaz
This paper presents (Lagrangian) variational formulations for single and multicomponent semi-compressible fluids with both reversible (entropy-conserving) and irreversible (entropy…
math.NA2019
An energy consistent discretization of the nonhydrostatic equations in primitive variables
Mark A. Taylor, Oksana Guba, Andrew Steyer +3
We derive a formulation of the nonhydrostatic equations in spherical geometry with a Lorenz staggered vertical discretization. The combination conserves a discrete energy in exact…
physics.class-ph2018
Single and Double Generator Bracket Formulations of Geophysical Fluids with Irreversible Processes
Christopher Eldred, François Gay-Balmaz
The equations of reversible (inviscid, adiabatic) fluid dynamics have a well-known variational formulation based on Hamilton's principle and the Lagrangian, to which is associated…