Article
Mechanics
Manita Chouksey, Carsten Eden, Goekce Tuba Masur, Marcel Oliver
Summary: We compare a higher-order asymptotic construction for balance in geophysical flows with the numerical method of 'optimal balance'. Both methods achieve balance in geostrophic and inertia-gravity wave modes, resulting in minimal residual wave emission. The performance of both methods is comparable in a benchmark setting, and they find approximately the same balanced state.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
B. H. Burgess, D. G. Dritschel
Summary: This study focuses on the late-time behavior of freely evolving quasi-geostrophic flows, showing that the flows are dominated by large multi-level vortices with well-mixed potential vorticity in the late stages. Different initial conditions result in varying numbers of mixed potential vorticity levels, but ultimately inverse cascades of potential energy emerge.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Yufeng Lin, Andrew Jackson
Summary: This study focuses on the dynamics of Boussinesq convection in a rotating full sphere, particularly on the development of large-scale coherent structures and mean zonal flows. The research reveals the critical role of the convective Rossby number in the formation and transition of large-scale vortices.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Engineering, Mechanical
Mickael D. Chekroun, Henk Dijkstra, Taylan Sengul, Shouhong Wang
Summary: We study a 2-layer quasi-geostrophic ocean model and analyze the nonlinear development of the flow under the influence of a wind stress. We find that as the wind stress increases, the zonal jet becomes unstable and undergoes a first transition. We derive simplified equations for this transition using dynamic transition theory and identify two possible scenarios. We demonstrate that the first transition is continuous and can result in the emergence of stable time periodic solutions. Additionally, we investigate the case of double Hopf bifurcations which lead to a continuous transition accompanied by a bifurcated attractor homeomorphic to S-3.
NONLINEAR DYNAMICS
(2022)
Article
Mechanics
M. Rudko, I. Kamenkovich
Summary: This study examines the dynamics of zonally elongated transient flows in quasi-geostrophic turbulence, finding that these flow features are maintained by vorticity flux divergences associated with eddy-eddy interactions.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
S. Maffei, M. J. Krouss, K. Julien, M. A. Calkins
Summary: The study examines rotating Rayleigh-Benard convection using an asymptotic model that captures rapidly rotating, small Ekman number limit. For sufficiently vigorous convection, the formation of large-scale vortices of opposite polarity is observed. The relative kinetic energy of the large-scale vortices decreases with increasing Rayleigh number, showing a departure from linear scaling at high Rayleigh numbers.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Jeffrey B. Weiss
Summary: Geophysical turbulent flows can self-organize into a collection of coherent vortices known as a vortex gas. The traditional model of quasigeostrophy cannot fully capture the characteristics of these flows, while the balanced dynamics model including ageostrophic effects provides a better representation. Point-vortex solutions in three-dimensional QG(+1) dynamics show interesting features such as significant vertical transport.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mathematics, Applied
Andrea Bonito, Murtazo Nazarov
Summary: The novel algorithm proposed approximates SQG flows successfully, demonstrating its accuracy and applicability in practice, as well as showing theoretical energy decay rates.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Mechanics
Julie Meunier, Benjamin Miquel, Basile Gallet
Summary: The transport induced by ocean mesoscale eddies is not well understood in most climate models and needs to be parametrized. The standard parameterization scheme adopts the Gent-McWilliams/Redi (GM/R) form, but this approach is less general than the thickness-weighted average (TWA) method. In this study, we directly derive the diffusion tensor from quasi-geostrophic (QG) dynamics and find rigorous constraints on the coefficients, showing that there is no diapycnal diffusivity for low viscosity and small-scale diffusivities, and the vertical structures of the coefficients are related by the Taylor-Bretherton relation.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Physics, Mathematical
Nan Zhang, Zhiping Mao, Tao Xiong
Summary: In this paper, an effective numerical method is proposed for solving the inviscid surface quasi-geostrophic equations. The method combines Fourier spectral method and high order finite difference scheme, and reconstructs the velocity from the vorticity using central difference discretization. Numerical experiments show that the proposed method performs well.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
(2022)
Article
Physics, Fluids & Plasmas
Ashna Aggarwal, Jonathan M. Aurnou, Susanne Horn
Summary: This study investigates the damping mechanism of Jupiter's surface jets using numerical simulations. The results show that the interaction parameter between electromagnetic forces and fluid dynamics is crucial in jet damping. The study also suggests that electromagnetic forces alone may not be sufficient to fully truncate the jets, and other mechanisms might be required.
Article
Mechanics
Michael Le Bars
Summary: Despite ongoing debates, the study on wave turbulence and its scale transfers is challenging due to experimental and numerical difficulties. The numerical study of Thomas & Ding sheds new light on the upscale transfer of waves in rotating shallow water equations and highlights weaknesses in the theoretical foundations. This work calls for improved modeling and has implications for understanding large-scale climatic features.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Jack Davies, Hemant Khatri, Pavel Berloff
Summary: This study investigates the impacts of sinusoidal bottom topography on baroclinic instability of zonal vertically sheared flows in the two-layer quasigeostrophic model. Both zonal and meridional variations in topography tend to suppress the baroclinic instability, with only meridionally varying topography affecting the magnitudes of the fastest growth rates. Unstable modes appear to form two clusters well separated in the zonal wavenumber axis, with growth rate maxima occurring at two distinct zonal wavenumbers.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Thomas Gastine, Jonathan M. Aurnou
Summary: Convection dynamics in polar regions differ from those in lower latitudes. In spherical shell simulations, polar convection is triggered when the buoyancy forcing exceeds the critical equatorial forcing by a factor of 20. The heat transfer in polar regions increases much faster than in equatorial regions with increasing Rayleigh number. At high Rayleigh numbers, the heat fluxes in polar and equatorial regions become comparable.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Geosciences, Multidisciplinary
Hugo K. H. Olierook, Richard Scalzo, David Kohn, Rohitash Chandra, Ehsan Farahbakhsh, Chris Clark, Steven M. Reddy, R. Dietmar Mueller
Summary: The study presents a methodology to fuse lithostratigraphic field observations with aeromagnetic and gravity data to build a 3D geological model in a small region of Gascoyne Province. Results show that 89% of the model region has >95% certainty for a particular geological unit, with narrow uncertainty regions at the boundaries between geological units. Beyond 4 km depth, additional geophysical survey data with longer wavelengths are needed to constrain the deeper subsurface.
GEOSCIENCE FRONTIERS
(2021)
Article
Mechanics
Yufeng Lin, Philippe Marti, Jerome Noir
Article
Multidisciplinary Sciences
Michael A. Calkins, Keith Julien, Philippe Marti
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2015)
Article
Geochemistry & Geophysics
P. Marti, M. A. Calkins, K. Julien
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS
(2016)
Article
Geochemistry & Geophysics
Hiroaki Matsui, Eric Heien, Julien Aubert, Jonathan M. Aurnou, Margaret Avery, Ben Brown, Bruce A. Buffett, Friedrich Busse, Ulrich R. Christensen, Christopher J. Davies, Nicholas Featherstone, Thomas Gastine, Gary A. Glatzmaier, David Gubbins, Jean-Luc Guermond, Yoshi-Yuki Hayashi, Rainer Hollerbach, Lorraine J. Hwang, Andrew Jackson, Chris A. Jones, Weiyuan Jiang, Louise H. Kellogg, Weijia Kuang, Maylis Landeau, Philippe Marti, Peter Olson, Adolfo Ribeiro, Youhei Sasaki, Nathanael Schaeffer, Radostin D. Simitev, Andrey Sheyko, Luis Silva, Sabine Stanley, Futoshi Takahashi, Shin-ichi Takehiro, Johannes Wicht, Ashley P. Willis
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS
(2016)
Article
Computer Science, Interdisciplinary Applications
P. Marti, A. Jackson
JOURNAL OF COMPUTATIONAL PHYSICS
(2016)
Article
Mechanics
Keith Julien, Jonathan M. Aurnou, Michael A. Calkins, Edgar Knobloch, Philippe Marti, Stephan Stellmach, Geoffrey M. Vasil
JOURNAL OF FLUID MECHANICS
(2016)
Article
Mechanics
Meredith Plumley, Keith Julien, Philippe Marti, Stephan Stellmach
JOURNAL OF FLUID MECHANICS
(2016)
Article
Mechanics
Yufeng Lin, Philippe Marti, Jerome Noir, Andrew Jackson
Article
Physics, Fluids & Plasmas
Meredith Plumley, Keith Julien, Philippe Marti, Stephan Stellmach
PHYSICAL REVIEW FLUIDS
(2017)
Article
Astronomy & Astrophysics
Michael A. Calkins, Keith Julien, Philippe Marti
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS
(2015)
Article
Physics, Fluids & Plasmas
Stefano Maffei, Michael A. Calkins, Keith Julien, Philippe Marti
PHYSICAL REVIEW FLUIDS
(2019)
Article
Mechanics
Ming Yan, Michael A. Calkins, Stefano Maffei, Keith Julien, Steven M. Tobias, Philippe Marti
JOURNAL OF FLUID MECHANICS
(2019)
Article
Physics, Fluids & Plasmas
Michael A. Calkins, Keith Julien, Steven M. Tobias, Jonathan M. Aurnou, Philippe Marti