Atmospheric and Oceanic Fluid Dynamics

By Geoffrey K. Vallis. 2006

1,946 citations recorded by the source corpus.

Subfields: Atmospheric Science, Global and Planetary Change

View Paper: https://www.semanticscholar.org/paper/edd7cf967e5eb6f784877f0ef3ad43a7361bc632

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Citations in the corpus

EQUATORIAL SUPERROTATION ON TIDALLY LOCKED EXOPLANETS (2011, methodology): “This leads to an equation for the budget 4 The dynamical picture outlined above is not limited to small-amplitude disturbances, as can be shown with a simple argument described for example in Held (2000) and Vallis (2006).”
Cascades and transitions in turbulent flows (2018, background): “ous energy injections due to three dimensional small-scale or two-dimensional large-scale instabilities [174, 319, 598, 599].”
Deep learning for physical processes: incorporating prior scientific knowledge (2017, methodology): “In [Béréziat and Herlin, 2015], the ocean’s dynamics are modeled using shallow water equations [Vallis, 2017] and the initial conditions, along with other terms, are estimated using assimilation techniques [Trémolet, 2006].”
Statistical mechanics of two-dimensional and geophysical flows (2011, methodology): “ We consider an initial condition where the interface has a steep slope of amplitude η, and study the relaxation of the interface slope. This classical problem is called the Rossby adjustment problem [85, 195]. Without rotation, the only equilibrium is a horizontal interface. If the interface is not”
Sea surface temperature variability: patterns and mechanisms. (2010, background): “A complete discussion of these terms may be found in standard oceanography texts such as Pond and Pickard (1983), Vallis (2006), and Stewart (2005). b. Atmospheric Circulation Forcing Much of the large-scale organization of SST anomalies results from the large- scale organization of atmospheric…”
The physics of climate variability and climate change (2019, background): “Baroclinic instability (Charney, 1947; Holton and Hakim, 2013; Vallis, 2006) is active when the meridional temperature gradient or, equivalently (see below), the vertical wind shear are strong enough.”
The dynamical response to snow cover perturbations in a large ensemble of atmospheric GCM integrations. (2008, background): “0, where, assuming geostrophic balance, h9 is the perturbation height of the isentropic surface, u9 is the perturbation potential temperature, and the overbar denotes a zonal mean (Vallis 2006, his section 7.4).”
Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-Graining Approach (2017, background): “ (2017); Pearson et al. (2017)). An enduring paradigm for oceanic energy pathways between large-scale and mesoscale ow Gill et al. (1974); Rhines (1975); Salmon (1978, 1980); Smith and Vallis (2002); Vallis (2017); Ferrari and Wunsch (2009), is based on baroclinic instability and homogeneous quasige”
Some Three-Dimensional Nonlinear Equatorial Flows (2013, background): “The governing equations for geophysical ocean waves are, (cf. Gallagher and Saint-Raymond 2007; Pedlosky 1979; Vallis 2006), the Euler equation 8>>>>< >>>>: ut1uux1 yuy1wuz12Vw cosf22Vy sinf52 1 r Px , yt 1 uyx1 yyy1wyz1 2Vu sinf52 1 r Py , wt 1 uwx1 ywy1wwz2 2Vu cosf52 1 r Pz 2 g ,”
Statistical and physical balances in low Rossby number Rayleigh–Bénard convection (2012, background): “The k 5=3? scaling of 2 in the inertial range is less clear, but is consistent with the advection of a passive scalar (Vallis 2006).”
On the arrest of inverse energy cascade and the rhines scale (2006, background): “The Rhines scale plays a prominent role in many theories of largescale atmospheric and oceanic circulation (see, e.g., James and Gray 1986; Vallis and Maltrud 1993; Held and Larichev 1996; Held 1999; Lapeyre and Held 2003; Schneider 2004; LaCasce and Pedlosky 2004; Vallis 2006) as well as in theorie”
Submesoscale Processes and Dynamics (2013, background): “While three-dimensional turbulence spectra show a characteristic -5/3 power law (or -5/3 slope in log-log space) and the cascade of energy to smaller scales, stratified quasigeostrophic mesoscale flow (geostrophic turbulence) spectra have a -3 slope [Vallis, 2006, e.g.] and a reverse energy cascade.”
The role of mixed-layer instabilities in submesoscale turbulence (2015, background): “This stabilization is analogous to that by the β-effect (Phillips 1954; Lindzen 1994; Vallis 2006).”
Associations between stratospheric variability and tropospheric blocking (2010, methodology): “As described by Vallis [2006] the Eliassen‐Palm relation”
Sudden Stratospheric Warmings (2020, background): “Upward propagation of a Rossby wave on a zonal-mean ﬂow is associated with a poleward heat ﬂux, v (cid:48) θ (cid:48) (e.g. Vallis, 2017, Chpt. 10).”
Internal gravity waves from atmospheric jets and fronts (2014, background): “Most of our fundamental understanding of midlatitude dynamics comes from such balanced models [e.g., Vallis, 2006].”
Rotating convective turbulence in Earth and planetary cores (2015, background): “Despite their many successes (e.g., Busse, 1970; Aubert et al., 2003; Schaeffer and Cardin, 2006; Vallis, 2006; Calkins et al., 2012), the classical QG equations cannot model sizable axial non-hydrostatic effects or the effects of strongly sloping container boundaries.”