Simulating solar near-surface Rossby waves by inverse cascade from supergranule energy

M Dikpati, PA Gilman, GA Guerrero… - The Astrophysical …, 2022 - iopscience.iop.org
Rossby waves are found at several levels in the Sun, most recently in its supergranule layer.
We show that Rossby waves in the supergranule layer can be excited by an inverse …

[HTML][HTML] EPIC: the elliptical parcel-in-cell method

M Frey, D Dritschel, S Böing - Journal of Computational Physics: X, 2022 - Elsevier
We present a novel approach to simulating general two-dimensional flows, which could also
be applied to other areas of continuum mechanics. The approach generalises the Particle-In …

Nonlinear shallow-water waves with vertical odd viscosity

A Doak, G Baardink, PA Milewski, A Souslov - SIAM Journal on Applied …, 2023 - SIAM
The breaking of a detailed balance in fluids through Coriolis forces or odd-viscous stresses
has profound effects on the dynamics of surface waves. Here we explore both weakly and …

The magnetic non-hydrostatic shallow-water model

DG Dritschel, SM Tobias - Journal of Fluid Mechanics, 2023 - cambridge.org
We consider the dynamics of a set of reduced equations describing the evolution of a
magnetised, rotating stably stratified fluid layer, atop a stagnant dense, perfectly conducting …