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physics.flu-dyn2026
Variational derivation of a moist thermal rotating shallow water model
Colin J. Cotter, Darryl D. Holm, Oliver D. Street
We introduce a new energy-conserving, moist shallow water model with thermal stratification and rotation. The model is derived from a variational principle, using a Lagrangian expr…
physics.flu-dyn2026
Numerical comparison of energy- versus circulation-preserving stochastic vortex dynamics
Sagy Ephrati, Darryl D. Holm
We compare two geometric stochastic frameworks for the two-dimensional Euler equations, being the circulation-preserving stochastic advection by Lie transport (SALT) and the energy…
physics.flu-dyn2025
A Multiscale Camassa--Holm Equation
Darryl D Holm, Maneesh Kumar Singh
A system of equations for Multiscale Geodesic Flow (MGF) is introduced whose solutions illustrate the paradigm of whorls within whorls within whorls, introduced by L. F. Richardson…