44 citations · 147 across the 19 of their papers we have counts for
20 papers
Quasi-geostrophic limiting dynamics and energetics of the LANS- model
L. R. Seitz, Beth A. Wingate
The Lagrangian-Averaged Navier-Stokes- (LANS-) model, a turbulence closure scheme based on energy-conserving modifications to nonlinear advection, can produce more energetic…
A mean correction for improved phase-averaging accuracy in oscillatory, multiscale, differential equations
Timothy C. Andrews, Beth A. Wingate
This paper introduces a new algorithm to improve the accuracy of numerical phase-averaging in oscillatory, multiscale, differential equations. Phase-averaging is a timestepping met…
The effect of linear dispersive errors on nonlinear timestepping accuracy in the f-plane rotating shallow water equations
Timothy C. Andrews, Jemma Shipton, Beth A. Wingate
For simulations of time evolution problems, such as weather and climate models, taking the largest stable timestep is advantageous for reducing wall-clock time. A drawback of doing…
Multi-level Parareal algorithm with Averaging for Oscillatory Problems
Juliane Rosemeier, Terry Haut, Beth Wingate
The present study is an extension of the work done in Parareal convergence for oscillatory pdes with finite time-scale separation (2019), A. G. Peddle, T. Haut, and B. Wingate, [16…
Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere
Hiroe Yamazaki, Colin J Cotter, Beth Wingate
We describe a proof-of-concept development and application of a phase averaging technique to the nonlinear rotating shallow water equations on the sphere, discretised using compati…
Higher order phase averaging for highly oscillatory systems
Werner Bauer, Colin J. Cotter, Beth Wingate
We introduce a higher order phase averaging method for nonlinear oscillatory systems. Phase averaging is a technique to filter fast motions from the dynamics whilst still accountin…