5 papers
Numerically modelling semidirect product geodesics
James Woodfield
This paper numerically investigates Euler-Poincaré equations arising from a self-semidirect product group structure. Nonlinearly coupled systems of equations emerge from the semidi…
Monotone conservative strategies in data assimilation
James Woodfield
This paper studies whether numerically preserving monotonic properties can offer modelling advantages in data assimilation, particularly when the signal or data is a realization of…
Comparing two different types of stochastic parametrisation in geophysical flow
Darryl Holm, Wei Pan, James Woodfield
This paper investigates the effects of stochastic variations in bathymetry on the solutions of the thermal quasigeostrophic (TQG) equations. These stochastic perturbations generate…
Stochastic fluids with transport noise: Approximating diffusion from data using SVD and ensemble forecast back-propagation
James Woodfield
We introduce and test methods for the calibration of the diffusion term in Stochastic Partial Differential Equations (SPDEs) describing fluids. We take two approaches, one uses ide…
Lévy areas, Wong Zakai anomalies in diffusive limits of Deterministic Lagrangian Multi-Time Dynamics
Theo Diamantakis, James Woodfield
Stochastic modelling necessitates an interpretation of noise. In this paper, we describe the loss of deterministically stable behaviour in a fundamental fluid mechanics problem, co…