98 citations · 116 across the 7 of their papers we have counts for
7 papers
Lie-Poisson Neural Networks (LPNets): Data-Based Computing of Hamiltonian Systems with Symmetries
Christopher Eldred, François Gay-Balmaz, Sofiia Huraka +1
An accurate data-based prediction of the long-term evolution of Hamiltonian systems requires a network that preserves the appropriate structure under each time step. Every Hamilton…
An interpretation of TRiSK-type schemes from a discrete exterior calculus perspective
Christopher Eldred, Werner Bauer
TRiSK-type numerical schemes are widely used in both atmospheric and oceanic dynamical cores, due to their discrete analogues of important properties such as energy conservation an…
Thermodynamically consistent versions of approximations used in modelling moist air
Christopher Eldred, Mark Taylor, Oksana Guba
Some existing approaches to modeling the thermodynamics of moist air make approximations that break , such that the resulting thermodynamics do…
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…
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…
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…
Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods: Derivation and Properties (Part 1)
Christopher Eldred, David Randall
The shallow water equations provide a useful analogue of the fully compressible Euler equations since they have similar characteristics: conservation laws, inertia-gravity and Ross…