Geophysical Fluid Dynamics

By Lokenath Debnath. 2008

2,535 citations recorded by the source corpus.

Subfields: Environmental Chemistry, Geochemistry and Petrology, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/43c59174a3756249946ac659005ef9307d456008

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Citations in the corpus

On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models (2006, background): “Many different partial differential equations formulations can be found in the mathematical literature under the “Saint-Venant” or “Shallow water” model, see [1,2,4,10,13–15].”
On the local existence and blow-up for generalized SQG patches (2018, background): “This system comes from geophysical science and provides particular solutions of highly rotating 3D oceanic or atmospheric fluids [43].”
Island Wakes in Deep Water (2007, neutral): “When the mean current has a uniform vertical shear and is independent of y (i.e., Eady’s problem, Pedlosky 1987), the most unstable mode has a disturbance scale somewhat larger than R d .”
Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm (2005, neutral): “The purpose of the analysis is then to find the dipole–dipole couplings and chemical shielding parameters that reproduce the experimental spectrum.”
Dynamically and Kinematically Consistent Global Ocean Circulation and Ice State Estimates (2013, background): “Scale analyses of the primitive equations (e.g., Pedlosky, 1987; Vallis, 2006; Huang, 2010) all demonstrate that apart from some very exceptional regions of small area and volume, deviations from geostrophic balance are slight.”
Climate dynamics and fluid mechanics: Natural variability and related uncertainties (2008, background): “The formation of this jet and of the intense recirculation vortices near the western boundary, to either side of the jet, is mostly driven by internal, nonlinear effects.”
Global well-posedness of slightly supercritical active scalar equations (2012, methodology): “The critical case α = 1 has been especially interesting for the SQG equation since it is well motivated physically, with the 3θ term modeling so called the Ekman boundary layer pumping effect; see, for example, [Pedlosky 1987].”
Evolution of the Global Coupled Climate Response to Arctic Sea Ice Loss during 1990–2090 and Its Contribution to Climate Change (2018, background): “Moreover, the ice bottom temperature is fixed at freezing in the model (Winton 2000), so the nudging does not artificially cool the underlying Arctic Ocean (not shown).”
The deep wind structure of the giant planets: Results from an anelastic general circulation model (2009, background): “…= − 1 ρ ∇p − ∇ ( 1 2 u2 + Φ ) + ν∇2u, (1) where u is the 3D velocity vector, ω is the vorticity vector (ω = ∇ × u), Ω is the planetary rotation vector, Φ is the gravitational potential (∇Φ = g), ν is the eddy viscosity, and p and ρ are the pressure and density fields respectively (Pedlosky, 1987).”
A review of numerical methods for nonlinear partial differential equations (2012, background): “…W ) forward and backward diﬀerences There is a whole library of such modern recipes (called limiters ), which enable one to reconstruct W ( t n , x ) from its cell averages in the “direction of smoothness”, while preserving the nonoscillatory behavior of the underlying exact solution w n ( t, x ).”
Jets and Topography: Jet Transitions and the Impact on Transport in the Antarctic Circumpolar Current (2012, background): “For further details on the model and assumptions, see Pedlosky (1987) and also Thompson (2010) for a specific case with bottom topography.”
Long Time Dynamics of Forced Critical SQG (2013, background): “If in the three-dimensional quasi-geostrophic equations [Ped82] we take into account damping (Ekman pumping at the boundary) and external sources we arrive at the system the system (1.”
EQUATORIAL SUPERROTATION ON TIDALLY LOCKED EXOPLANETS (2011, methodology): “Temperature (color scale, in K) and winds (arrows) during the spin-up phase of the three-dimensional, solar-metallicity model of HD 189733b from Showman et al. (2009). This shows the state at the 30 mbar pressure level—near the mean infrared photosphere—at a time of one Earth day, after the day–nigh”
Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations (2011, background): “The Boussinesq system is potentially relevant to the study of atmospheric and oceanographic turbulence, as well as other astrophysical situations in which rotation and stratification play a dominant role (see for example [16,18]).”
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation (2007, methodology): “The 2D QG equation with κ > 0 and α = 1 2 arises in geophysical studies of strongly rotating fluids (see [5],[15] and references therein) while the inviscid QG equation ((1.”
Variational principles for stochastic fluid dynamics (2014, methodology): “33) may be derived from the basic equations of rotating shallow water flow by rescaling to define nondimensional variables and making an asymptotic expansion in terms of the Froude number given by the square of the ratio of the characteristic scale of the motion to the deformation radius, see, for e”
Nonuniqueness of Weak Solutions to the SQG Equation (2016, background): “In the context of geophysical fluid dynamics, the variable θ denotes the temperature (or surface buoyancy function) in a rapidly rotating stratified fluid with uniform potential vorticity [HPGS95] and has applications in both meteorological and oceanic flows [Ped82].”