Waves and vortices in the inverse cascade regime of stratified turbulence with or without rotation

C Herbert, R Marino, D Rosenberg… - Journal of Fluid …, 2016 - cambridge.org
We study the partition of energy between waves and vortices in stratified turbulence, with or
without rotation, for a variety of parameters, focusing on the behaviour of the waves and …

Balance dynamics in rotating stratified turbulence

HA Kafiabad, P Bartello - Journal of Fluid Mechanics, 2016 - cambridge.org
If classical quasigeostrophic (QG) flow breaks down at smaller scales, it gives rise to
questions of whether higher-order nonlinear balance can be maintained, to what scale and …

Stability of an isolated pancake vortex in continuously stratified-rotating fluids

E Yim, P Billant, C Ménesguen - Journal of Fluid Mechanics, 2016 - cambridge.org
This paper investigates the stability of an axisymmetric pancake vortex with Gaussian
angular velocity in radial and vertical directions in a continuously stratified-rotating fluid. The …

Multi-scale methods for geophysical flows

CLE Franzke, M Oliver, JDM Rademacher… - Energy transfers in …, 2019 - Springer
Geophysical flows comprise a broad range of spatial and temporal scales, from planetary-to
meso-scale and microscopic turbulence regimes. The relation of scales and flow …

Evanescent and inertial-like waves in rigidly rotating odd viscous liquids

E Kirkinis, MO De La Cruz - Journal of Fluid Mechanics, 2024 - cambridge.org
Three-dimensional non-rotating odd viscous liquids give rise to Taylor columns and support
axisymmetric inertial-like waves (J. Fluid Mech., vol. 973, 2023, A30). When an odd viscous …

[HTML][HTML] Near resonant approximation of the rotating stratified Boussinesq system on a 3-torus

B Cheng, ZN Sakellaris - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Based on a novel treatment of near resonances, we introduce a new approximation for the
rotating stratified Boussinesq system on three-dimensional tori with arbitrary aspect ratios …

Inertial-like waves in rigidly-rotating odd viscous liquids

E Kirkinis, MO de la Cruz - arxiv preprint arxiv:2307.00415, 2023 - arxiv.org
In this paper we show that an incompressible three dimensional or compressible in two
dimensions odd viscous liquid gives rise to both oscillatory and evanescent waves or a …

Vortices in stably-stratified rapidly rotating Boussinesq convection

R Goh, CE Wayne - Nonlinearity, 2019 - iopscience.iop.org
We study the Boussinesq approximation for rapidly rotating stably-stratified fluids in a three
dimensional infinite layer with either stress-free or periodic boundary conditions in the …

Investigations of non-hydrostatic, stably stratified and rapidly rotating flows

D Nieves, I Grooms, K Julien, JB Weiss - Journal of Fluid Mechanics, 2016 - cambridge.org
We present an investigation of rapidly rotating (small Rossby number). The investigation is
set in the context of a reduced model derived from the Boussinesq equations that retains …

Near-resonance approximation of rotating Navier–Stokes equations

B Cheng, ZN Sakellaris - Nonlinearity, 2023 - iopscience.iop.org
We formalise the concept of near resonance for the rotating Navier–Stokes equations, based
on which we propose a novel way to approximate the original partial differential equation …