A nonlinear model for rotationally constrained convection with Ekman pumping

DOI10.1017/jfm.2016.225zbMath1422.76165arXiv1601.08247OpenAlexW3104102147MaRDI QIDQ2973658

Geoffrey M. Vasil, Stephan Stellmach, Michael A. Calkins, Keith Julien, Philippe Marti, Jonathan M. Aurnou, Edgar Knoblauch

Publication date: 4 April 2017

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.08247

zbMATH Keywords

quasi-geostrophic flowsBénard convectionrotating flows

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Forced convection (76R05)

Related Items

Entropic lattice Boltzmann simulation of thermal convective turbulence ⋮ A heuristic framework for next-generation models of geostrophic convective turbulence ⋮ Heat transport and flow morphology of geostrophic rotating Rayleigh–Bénard convection in the presence of boundary flow ⋮ Geostrophic and chimney regimes in rotating horizontal convection with imposed heat flux ⋮ Rigorous bounds on the heat transport of rotating convection with Ekman pumping ⋮ Geostrophic Turbulence and the Formation of Large Scale Structure ⋮ Scaling regimes in spherical shell rotating convection ⋮ Horizontal diffusive motion of columnar vortices in rotating Rayleigh–Bénard convection ⋮ Transport by deep convection in basin-scale geostrophic circulation: turbulence-resolving simulations ⋮ Force balance in rapidly rotating Rayleigh–Bénard convection ⋮ Heat transfer in rapidly rotating convection with heterogeneous thermal boundary conditions ⋮ Characteristics of a precessing flow under the influence of a convecting temperature field in a spheroidal shell ⋮ Transition to geostrophic convection: the role of the boundary conditions ⋮ The effects of Ekman pumping on quasi-geostrophic Rayleigh–Bénard convection ⋮ Oscillatory thermal–inertial flows in liquid metal rotating convection ⋮ On the inverse cascade and flow speed scaling behaviour in rapidly rotating Rayleigh–Bénard convection

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• High order methods for the numerical solution of two-point boundary value problems
• A new class of equations for rotationally constrained flows
• Rapidly rotating thermal convection at low Prandtl number
• Three-dimensional quasi-geostrophic convection in the rotating cylindrical annulus with steeply sloping endwalls
• Heat transfer by rapidly rotating Rayleigh–Bénard convection
• Statistical classification of flow morphology in rapidly rotating Rayleigh-Bénard convection
• Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection
• Reduced models for fluid flows with strong constraints
• Fully nonlinear three-dimensional convection in a rapidly rotating layer
• Quasigeostrophic model of the instabilities of the Stewartson layer in flat and depth-varying containers
• Strongly nonlinear convection cells in a rapidly rotating fluid layer: the tilted f-plane
• The horizontal scale of rotating convection in the geostrophic regime
• Numerical simulation of an asymptotically reduced system for rotationally constrained convection
• Generalized quasi-geostrophy for spatially anisotropic rotationally constrained flows
• Bounds on heat transport in rapidly rotating Rayleigh–Bénard convection
• On the influence of Coriolis force on onset of thermal convection
• On the non-linear interaction of inertial modes
• Energy stability of the Ekman boundary layer
• Statistical and physical balances in low Rossby number Rayleigh–Bénard convection
• Asymptotic behavior of heat transport for a class of exact solutions in rotating Rayleigh–Bénard convection