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Academic literature on the topic 'Quasigeostrophic'

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Published: 4 June 2021
Last updated: 19 February 2022

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Journal articles on the topic "Quasigeostrophic"

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Egger, Joseph. "Mountain torques in quasigeostrophic theory." Meteorologische Zeitschrift 12, no. 6 (December 1, 2003): 301–4. http://dx.doi.org/10.1127/0941-2948/2003/0012-0301.

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Miyazaki, Takeshi, Koki Ueno, and Tomoyuki Shimonishi. "Quasigeostrophic, Tilted Spheroidal Vortices." Journal of the Physical Society of Japan 68, no. 8 (August 15, 1999): 2592–601. http://dx.doi.org/10.1143/jpsj.68.2592.

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Miyazaki, Takeshi, Masahiro Shimada, and Naoya Takahashi. "Quasigeostrophic Wire-Vortex Model." Journal of the Physical Society of Japan 69, no. 10 (October 15, 2000): 3233–43. http://dx.doi.org/10.1143/jpsj.69.3233.

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Miyazaki, Takeshi, Takahiro Fujiwara, and Masahiro Yamamoto. "Quasigeostrophic Confocal Spheroidal Vortices." Journal of the Physical Society of Japan 72, no. 11 (November 15, 2003): 2786–803. http://dx.doi.org/10.1143/jpsj.72.2786.

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Miyazaki, Takeshi, Yu Furuichi, and Naoya Takahashi. "Quasigeostrophic Ellipsoidal Vortex Model." Journal of the Physical Society of Japan 70, no. 7 (July 15, 2001): 1942–53. http://dx.doi.org/10.1143/jpsj.70.1942.

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Duan, Jinqiao, and Beniamin Goldys. "Ergodicity of stochastically forced large scale geophysical flows." International Journal of Mathematics and Mathematical Sciences 28, no. 6 (2001): 313–20. http://dx.doi.org/10.1155/s0161171201012443.

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We investigate the ergodicity of 2D large scale quasigeostrophic flows under random wind forcing. We show that the quasigeostrophic flows are ergodic under suitable conditions on the random forcing and on the fluid domain, and under no restrictions on viscosity, Ekman constant or Coriolis parameter. When these conditions are satisfied, then for any observable of the quasigeostrophic flows, its time average approximates the statistical ensemble average, as long as the time interval is sufficiently long.
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Delsole, Timothy. "Stochastic Models of Quasigeostrophic Turbulence." Surveys in Geophysics 25, no. 2 (March 2004): 107–49. http://dx.doi.org/10.1023/b:geop.0000028164.58516.b2.

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Juckes, Martin. "Quasigeostrophic Dynamics of the Tropopause." Journal of the Atmospheric Sciences 51, no. 19 (October 1994): 2756–68. http://dx.doi.org/10.1175/1520-0469(1994)051<2756:qdott>2.0.co;2.

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Carton, Xavier. "Instability of Surface Quasigeostrophic Vortices." Journal of the Atmospheric Sciences 66, no. 4 (April 1, 2009): 1051–62. http://dx.doi.org/10.1175/2008jas2872.1.

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Abstract The instability of circular vortices is studied numerically in the surface quasigeostrophic (SQG) model, and their evolutions are compared with those of barotropically unstable 2D vortices. The growth rates in the SQG model evidence similarity with their barotropic counterparts for moderate radial gradients of temperature (or of vorticity in the 2D model). For stronger gradients, SQG vortices are more unstable than 2D vortices. The nonlinear, finite-amplitude evolutions of perturbed vortices provide evidence that moderately unstable, elliptically perturbed vortices form tripoles. When they are more unstable, they break into two dipoles. Weakly unstable vortices with triangular perturbations form transient quadrupoles that break; they stabilize only for large gradients of mean temperature. Finally, with square perturbations, pentapoles degenerate into dipoles, at least for the range of mean temperature gradients explored here. The analysis of nonlinear stabilizations reveals that the deformation of the vortex core and the leak of its temperature anomaly to the periphery are essential ingredients to stabilize the perturbation at finite amplitude. In conclusion, SQG vortex instability exhibits considerable similarity to the barotropic instability of 2D vortices.
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Zhmur, V. V., and K. K. Pankratov. "Dynamics of desingularized quasigeostrophic vortices." Physics of Fluids A: Fluid Dynamics 3, no. 5 (May 1991): 1464. http://dx.doi.org/10.1063/1.857998.

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Dissertations / Theses on the topic "Quasigeostrophic"

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Nadeau, Louis-Philippe. "Dynamics of a quasigeostrophic antarctic circumpolar current." Thesis, McGill University, 2011. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=96911.

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The idea that basin-like dynamics may influence or control the Antarctic Circumpolar Current (ACC) is investigated with idealized analytic and numerical models. A simple 2-layer analytic model is developed to predict the transport evolution with the wind stress amplitude. At very low forcing, a non-zero minimum is predicted. This is followed by two distinct dynamical regimes for stronger forcing: a linearly increasing Stommel regime and a saturation regime in which the transport ceases to increase. The vertical distribution of the flow obtained using the geometry of the geostrophic contours (or characteristics) is key to predicting the occurrence of this transport saturation. Many eddy-permitting numerical simulations in large domains are carried over a wide range of parameters. The simulations using a reference zonal wind stress profile agree qualitatively with the analytic model. However, quantitative discrepancies are observed in the saturation regime: i) when a topographic continental ridge is added along the western boundary and ii) when the bottom drag is varied. When a continental ridge is added, eddy fluxes associated with zonal jets enhance the bottom layer recirculation and lower the saturation transport values. When the bottom drag is increased, the lower layer recirculation is suppressed, and this increases the saturation transport values. Experiments investigating the relative roles of the wind stress and wind stress curl in Drake Passage latitudes are also carried out. It is found that the transport is increased when adding a significant constant wind stress. In this regime dominated by the wind stress itself, there is an offset between the numerical results and what is predicted by the analytic model. The vertical momentum flux by mesoscale eddies can be used to distinguish between different regimes: an upward momentum transfer is observed when the dynamics is dominated by the wind stress curl and a downward flux is observed when it is not. In the regime where the wind stress curl dominates, Sverdrup circulation applies over most of the domain --- even in absence of meridional barriers. Also in this regime, transport is saturated, as suggested by the analytic model. The analytic model is also generalized to a continuous stratification and numerical experiments varying the vertical resolution are carried out to test its robustness. These simulations show that the 2-layer and 5-layer models give equivalent results when inertial effects are weak. However, in the 5-layer simulations, topographically-driven inertial recirculations blocking Drake Passage reduce the transport when inertial effects are strong. This behavior disapears, however, when realistic topography is used. In this context, the numerical results agree well with the predictions of the analytic model. It is also found that when the wind stress curl dominates, meridional walls play an important role in the dynamics at weak forcing but become less and less important as the forcing increases.
Dans cette thèse, on étudié l'idée qu'une circulation de type bassin peut influencer et contrôler la dynamique du Courant Circumpolaire Antarctique (CCA) à l'aide de modèles analytique et numérique. Dans un premier temps, on développe un modèle analytique simple à deux couches pour estimer l'évolution du transport en fonction de l'amplitude du vent appliqué à la surface. À très faible amplitude, ce modèle prévoit un transport minimum non-nul. Deux régimes dynamique distincts succèdent à ce minimum: un régime de type "Stommel", dans lequel le transport augmente linéairement et un régime de "saturation" dans lequel le transport plafonne. On utilise la géométrie des "contours géostrophiques", pierre angulaire de la théorie, pour obtenir la distribution verticale de la circulation et estimer l'occurrence de ce régime de saturation.On effectue ensuite un grand nombre de simulations numériques à haute résolution spatiale, en variant la plupart des paramètres du modèle afin de tester la théorie analytique. On définit un profil de vent "référence" soufflant vers l'est suivant une fonction sin^2(y), où y est la latitude. Les simulations utilisant ce profil de référence correspondent qualitativement aux prévisions de la théorie analytique. Par contre, on observe des différences quantitatives dans le régime saturation: i) lorsqu'un plateau continental est ajouté à la frontière ouest et ii) lorsqu'on varie le coefficient de friction au fond. Lorsqu'on ajoute un plateau continental, les flux de tourbillons associés aux jets longitudinaux favorisent la circulation abyssale et baissent ainsi les valeurs de saturation du transport. Lorsqu'on augmente le coefficient de friction, la circulation abyssale est supprimée, ce qui augmente les valeurs de saturation du transport.Dans les expériences où l'on rajoute un vent constant au profil de référence, un décalage est observé entre les résultats des simulations numériques et les prévisions du modèle analytique. Cela définit un nouveau régime où le vent lui-même est fort en comparaison à son rotationnel. Le flux vertical de quantité de mouvement des tourbillons méso-échelle peut être utilisé afin de distinguer les différents régimes. En effet, ce flux est orienté vers le haut lorsque la dynamique est dominée par le rotationnel tandis qu'il est vers le bas lorsque le vent lui-même domine la dynamique. Dans le régime dominé par le rotationnel, une circulation de type Sverdrup est observée dans l'ensemble du bassin, même en absence de péninsules. De plus, le transport y est saturé, tel que suggéré par la théorie analytique.Le modèle analytique est ensuite généralisé au cas où la stratification est continue. On effectue des simulations numériques où la résolution verticale est variée afin de tester cette théorie généralisée. Ces simulations montrent que les modèles à 2 et 5 couches donnent des résultats similaires lorsque les effets d'inertie sont faibles. Par contre, d'intenses circulations générées au-dessus de la topographie bloquent le détroit de Drake et réduisent le transport lorsque les effets d'inertie sont importants. Cependant, ce comportement disparaît lorsqu'une topographie plus réaliste est utilisée. Dans ce contexte, les simulations numériques correspondent aux prévisions du modèle analytique. De plus, on observe que dans un régime où le rotationnel est dominant, les péninsules jouent un rôle important dans la dynamique lorsque le vent est faible tandis que leur rôle devient de plus en plus négligeable lorsque le vent augmente.
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Vallgren, Andreas. "Statistical characteristics of two-dimensional and quasigeostrophic turbulence." Licentiate thesis, KTH, Linné Flow Center, FLOW, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-13128.

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Two codes have been developed and implemented for use on massively parallelsuper computers to simulate two-dimensional and quasigeostrophic turbulence.The codes have been found to scale well with increasing resolution and width ofthe simulations. This has allowed for the highest resolution simulations of two-dimensional and quasigeostrophic turbulence so far reported in the literature.The direct numerical simulations have focused on the statistical characteristicsof turbulent cascades of energy and enstrophy, the role of coherent vorticesand departures from universal scaling laws, theoretized more than 40 yearsago. In particular, the investigations have concerned the enstrophy and energycascade in forced and decaying two-dimensional turbulence. Furthermore, theapplicability of Charney’s hypotheses on quasigeostrophic turbulence has beentested. The results have shed light on the flow evolution at very large Reynoldsnumbers. The most important results are the robustness of the enstrophycascade in forced and decaying two-dimensional turbulence, the unexpecteddependency on an infrared Reynolds number in the spectral scaling of theenergy spectrum in the inverse energy cascade, and the validation of Charney’spredictions on the dynamics of quasigeostrophic turbulence. It has also beenshown that the scaling of the energy spectrum in the enstrophy cascade isinsensitive to intermittency in higher order statistics, but that corrections mightapply to the ”universal” Batchelor-Kraichnan constant.

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Wells, David Reese. "A Two-Level Method For The Steady-State Quasigeostrophic Equation." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/23090.

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The quasi-geostrophic equations (QGE) are a model of large-scale ocean flows. We consider a pure stream function formulation and cite results for optimal error estimates for finding approximate solutions with the finite element method. We examine both the time dependent and steady-state versions of the equations. Numerical experiments verify the error estimates.
We examine the Argyris finite element and derive the transformation matrix necessary to perform calculations on the reference triangle. We use the Argyris element because it is a high-order, conforming finite element for fourth order problems.
In order to increase computational efficiency, we consider a two-level method to linearize the system of equations. This allows us to solve a small, nonlinear system and then use the result to linearize a larger system.
Master of Science
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Zidikheri, Meelis Juma, and m. zidikheri@bom gov au. "Dynamical Subgrid-scale Parameterizations for Quasigeostrophic Flows using Direct Numerical Simulations." The Australian National University. Research School of Physical Sciences and Engineering, 2008. http://thesis.anu.edu.au./public/adt-ANU20090108.112027.

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In this thesis, parameterizations of non-linear interactions in quasigeostrophic (QG) flows for severely truncated models (STM) and Large Eddy Simulations (LES) are studied. Firstly, using Direct Numerical Simulations (DNS), atmospheric barotropic flows over topography are examined, and it is established that such flows exhibit multiple equilibrium states for a wide range of parameters. A STM is then constructed, consisting of the large scale zonal flow and a topographic mode. It is shown that, qualitatively, this system behaves similarly to the DNS as far as the interaction between the zonal flow and topography is concerned, and, in particular, exhibits multiple equilibrium states. By fitting the analytical form of the topographic stationary wave amplitude, obtained from the STM, to the results obtained from DNS, renormalized dissipation and rotation parameters are obtained. The usage of renormalized parameters in the STM results in better quantitative agreement with the DNS.¶ In the second type of problem, subgrid-scale parameterizations in LES are investigated with both atmospheric and oceanic parameters. This is in the context of two-level QG flows on the sphere, mostly, but not exclusively, employing a spherical harmonic triangular truncation at wavenumber 63 (T63) or higher. The methodology that is used is spectral, and is motivated by the stochastic representation of statistical closure theory, with the ‘damping’ and forcing covariance, representing backscatter, determined from the statistics of DNS. The damping and forcing covariance are formulated as 2 × 2 matrices for each wavenumber. As well as the transient subgrid tendency, the mean subgrid tendency is needed in the LES when the energy injection region is unresolved; this is also calculated from the statistics of the DNS. For comparison, a deterministic parameterization scheme consisting of 2×2 ‘damping’ parameters, which are calculated from the statistics of DNS, has been constructed. The main difference between atmospheric and oceanic flows, in this thesis, is that the atmospheric LES completely resolves the deformation scale, the energy and enstrophy injection region, and the truncation scale is spectrally distant from it, being well in the enstrophy cascade inertial range. In oceanic flows, however, the truncation scale is in the vicinity of the injection scale, at least for the parameters chosen, and is therefore not in an inertial range. A lower resolution oceanic LES at T15 is also examined, in which case the injection region is not resolved at all.¶ For atmospheric flows, it is found that, at T63, the matrix parameters are practically diagonal so that stratified atmospheric flows at these resolutions may be treated as uncoupled layers as far as subgrid-scale parameterizations are concerned. It is also found that the damping parameters are relatively independent of the (vertical) level, but the backscatter parameters are proportional to the subgrid flux in a given level. The stochastic and deterministic parameterization schemes give comparably good results relative to the DNS. For oceanic flows, it is found that the full matrix structure of the parameters must be used. Furthermore, it is found that there is a strong injection of barotropic energy from the subgrid scales, due to the unresolved, or partially resolved, baroclinic instability injection scales. It is found that the deterministic parameterization is too numerically unstable to be of use in the LES, and instead the stochastic parameterization must be used to obtain good agreement with the DNS. The subgrid tendency of the ensemble mean flow is also needed in some problems, and is found to reduce the available potential energy of the flow.
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Zidikheri, Meelis Juma. "Dynamical subgrid-scale parameterizations for quasigeostrophic flows using direct numerical simulations /." View thesis entry in Australian Digital Theses, 2007. http://thesis.anu.edu.au/public/adt-ANU20090108.112027/index.html.

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Johnson, John Edward. "An assessment of data requirements for quasigeostrophic nowcasts and hindcasts of a mesoscale eddy field in the California Current System with application to fall transition." Diss., Monterey, California : Naval Postgraduate School, 1990. http://handle.dtic.mil/100.2/ADA231394.

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Dissertation (Doctor of Philosophy)--Naval Postgraduate School, March 1990.
Dissertation Supervisor(s): Mooers, Christopher N.K. Description based on signature page August 25, 2009. DTIC Descriptor(s): Accuracy, California, Cyclones, Data Storage Systems, Density, Digital Simulation, Dynamics, Environments, Functions (Mathematics), Height, Images, Mathematical Models, Mean, North (Direction), Ocean Currents, Ocean Surface, Oceans, Predictions, Pressure Gradients, Requirements, Satellite Photography, Sea Water, Sensitivity, Surface Temperature, Surfaces, Topography, Transitions, Upwelling, Wind, Wind Stress. DTIC Indicator(s): Nowcasting, Hindcasting, Ocean models, Ocean currents, Eddies (Fluid mechanics), California current, OPTOMA Project, Theses, PE61153N. Author(s) subject terms: Mesoscale Ocean Models, Fall Transition, AVHRR, Data Requirements, California Current System, GEOSAT Altimetry. Includes bibliographical references (p. 331-343). Also available online.
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Blackbourn, Luke A. K. "An analytical, phenomenological and numerical study of geophysical and magnetohydrodynamic turbulence in two dimensions." Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/4291.

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In this thesis I study a variety of two-dimensional turbulent systems using a mixed analytical, phenomenological and numerical approach. The systems under consideration are governed by the two-dimensional Navier-Stokes (2DNS), surface quasigeostrophic (SQG), alpha-turbulence and magnetohydrodynamic (MHD) equations. The main analytical focus is on the number of degrees of freedom of a given system, defined as the least value $N$ such that all $n$-dimensional ($n$ ≥ $N$) volume elements along a given trajectory contract during the course of evolution. By equating $N$ with the number of active Fourier-space modes, that is the number of modes in the inertial range, and assuming power-law spectra in the inertial range, the scaling of $N$ with the Reynolds number $Re$ allows bounds to be put on the exponent of the spectrum. This allows the recovery of analytic results that have until now only been derived phenomenologically, such as the $k$[superscript(-5/3)] energy spectrum in the energy inertial range in SQG turbulence. Phenomenologically I study the modal interactions that control the transfer of various conserved quantities. Among other results I show that in MHD dynamo triads (those converting kinetic into magnetic energy) are associated with a direct magnetic energy flux while anti-dynamo triads (those converting magnetic into kinetic energy) are associated with an inverse magnetic energy flux. As both dynamo and anti-dynamo interacting triads are integral parts of the direct energy transfer, the anti-dynamo inverse flux partially neutralises the dynamo direct flux, arguably resulting in relatively weak direct energy transfer and giving rise to dynamo saturation. These theoretical results are backed up by high resolution numerical simulations, out of which have emerged some new results such as the suggestion that for alpha turbulence the generalised enstrophy spectra are not closely approximated by those that have been derived phenomenologically, and new theories may be needed in order to explain them.
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Kiss, Andrew Elek, and Andrew Kiss@anu edu au. "Dynamics of laboratory models of the wind-driven ocean circulation." The Australian National University. Research School of Earth Sciences, 2001. http://thesis.anu.edu.au./public/adt-ANU20011018.115707.

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This thesis presents a numerical exploration of the dynamics governing rotating flow driven by a surface stress in the " sliced cylinder " model of Pedlosky & Greenspan (1967) and Beardsley (1969), and its close relative, the " sliced cone " model introduced by Griffiths & Veronis (1997). The sliced cylinder model simulates the barotropic wind-driven circulation in a circular basin with vertical sidewalls, using a depth gradient to mimic the effects of a gradient in Coriolis parameter. In the sliced cone the vertical sidewalls are replaced by an azimuthally uniform slope around the perimeter of the basin to simulate a continental slope. Since these models can be implemented in the laboratory, their dynamics can be explored by a complementary interplay of analysis and numerical and laboratory experiments. ¶ In this thesis a derivation is presented of a generalised quasigeostrophic formulation which is valid for linear and moderately nonlinear barotropic flows over large-amplitude topography on an f-plane, yet retains the simplicity and conservation properties of the standard quasigeostrophic vorticity equation (which is valid only for small depth variations). This formulation is implemented in a numerical model based on a code developed by Page (1982) and Becker & Page (1990). ¶ The accuracy of the formulation and its implementation are confirmed by detailed comparisons with the laboratory sliced cylinder and sliced cone results of Griffiths (Griffiths & Kiss, 1999) and Griffiths & Veronis (1997), respectively. The numerical model is then used to provide insight into the dynamics responsible for the observed laboratory flows. In the linear limit the numerical model reveals shortcomings in the sliced cone analysis by Griffiths & Veronis (1998) in the region where the slope and interior join, and shows that the potential vorticity is dissipated in an extended region at the bottom of the slope rather than a localised region at the east as suggested by Griffiths & Veronis (1997, 1998). Welander's thermal analogy (Welander, 1968) is used to explain the linear circulation pattern, and demonstrates that the broadly distributed potential vorticity dissipation is due to the closure of geostrophic contours in this geometry. ¶ The numerical results also provide insight into features of the flow at finite Rossby number. It is demonstrated that separation of the western boundary current in the sliced cylinder is closely associated with a " crisis " due to excessive potential vorticity dissipation in the viscous sublayer, rather than insufficient dissipation in the outer western boundary current as suggested by Holland & Lin (1975) and Pedlosky (1987). The stability boundaries in both models are refined using the numerical results, clarifying in particular the way in which the western boundary current instability in the sliced cone disappears at large Rossby and/or Ekman number. A flow regime is also revealed in the sliced cylinder in which the boundary current separates without reversed flow, consistent with the potential vorticity " crisis " mechanism. In addition the location of the stability boundary is determined as a function of the aspect ratio of the sliced cylinder, which demonstrates that the flow is stabilised in narrow basins such as those used by Beardsley (1969, 1972, 1973) and Becker & Page (1990) relative to the much wider basin used by Griffiths & Kiss (1999). ¶ Laboratory studies of the sliced cone by Griffiths & Veronis (1997) showed that the flow became unstable only under anticyclonic forcing. It is shown in this thesis that the contrast between flow under cyclonic and anticyclonic forcing is due to the combined effects of the relative vorticity and topography in determining the shape of the potential vorticity contours. The vorticity at the bottom of the sidewall smooths out the potential vorticity contours under cyclonic forcing, but distorts them into highly contorted shapes under anticyclonic forcing. In addition, the flow is dominated by inertial boundary layers under cyclonic forcing and by standing Rossby waves under anticyclonic forcing due to the differing flow direction relative to the direction of Rossby wave phase propagation. The changes to the potential vorticity structure under strong cyclonic forcing reduce the potential vorticity changes experienced by fluid columns, and the flow approaches a steady free inertial circulation. In contrast, the complexity of the flow structure under anticyclonic forcing results in strong potential vorticity changes and also leads to barotropic instability under strong forcing. ¶ The numerical results indicate that the instabilities in both models arise through supercritical Hopf bifurcations. The two types of instability observed by Griffiths & Veronis (1997) in the sliced cone are shown to be related to the western boundary current instability and " interior instability " identified by Meacham & Berloff (1997). The western boundary current instability is trapped at the western side of the interior because its northward phase speed exceeds that of the fastest interior Rossby wave with the same meridional wavenumber, as discussed by Ierley & Young (1991). ¶ Numerical experiments with different lateral boundary conditions are also undertaken. These show that the flow in the sliced cylinder is dramatically altered when the free-slip boundary condition is used instead of the no-slip condition, as expected from the work of Blandford (1971). There is no separated jet, because the flow cannot experience a potential vorticity " crisis " with this boundary condition, so the western boundary current overshoots and enters the interior from the east. In contrast, the flow in the sliced cone is identical whether no-slip, free-slip or super-slip boundary conditions are applied to the horizontal flow at the top of the sloping sidewall, except in the immediate vicinity of this region. This insensitivity results from the extremely strong topographic steering near the edge of the basin due to the vanishing depth, which demands a balance between wind forcing and Ekman pumping on the upper slope, regardless of the lateral boundary condition. The sensitivity to the lateral boundary condition is related to the importance of lateral friction in the global vorticity balance. The integrated vorticity must vanish under the no-slip condition, so in the sliced cylinder the overall vorticity budget is dominated by lateral viscosity and Ekman friction is negligible. Under the free-slip condition the Ekman friction assumes a dominant role in the dissipation, leading to a dramatic change in the flow structure. In contrast, the much larger depth variation in the sliced cone leads to a global vorticity balance in which Ekman friction is always dominant, regardless of the boundary condition.
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Books on the topic "Quasigeostrophic"

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R, Holland William, Malanotte-Rizzoli Paola 1946-, and United States. National Aeronautics and Space Administration., eds. Assimilation of altimeter data into a quasigeostrophic model of the Gulf Stream system. [Washington, DC: National Aeronautics and Space Administration, 1995.

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R, Holland William, Malanotte-Rizzoli Paola 1946-, and United States. National Aeronautics and Space Administration., eds. Assimilation of altimeter data into a quasigeostrophic model of the Gulf Stream system. [Washington, DC: National Aeronautics and Space Administration, 1995.

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1946-, Malanotte-Rizzoli Paola, Holland William R, and United States. National Aeronautics and Space Administration., eds. Assimilation of altimeter data into a quasigeostrophic model of the Gulf Stream system. [Washington, DC: National Aeronautics and Space Administration, 1995.

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1946-, Malanotte-Rizzoli Paola, Holland William R, and United States. National Aeronautics and Space Administration., eds. Assimilation of altimeter data into a quasigeostrophic model of the Gulf Stream system. [Washington, DC: National Aeronautics and Space Administration, 1995.

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Quasigeostrophic Theory Of Oceans And Atmosphere Topics In The Dynamics And Thermodynamics Of The Fluid Earth. Springer, 2012.

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United States. National Aeronautics and Space Administration., ed. Assimilation Of Altimeter Data Into A Quasigeostrophic Model Of The Gulf Stream System... NASA-CR-205501... Oct. 31, 1997. [S.l: s.n., 1998.

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Chemin, Jean-Yves, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. Mathematical Geophysics. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198571339.001.0001.

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Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology, and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated and those in R2. In Part IV, the stability of Ekman boundary layers and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.
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Book chapters on the topic "Quasigeostrophic"

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Lackmann, Gary. "Quasigeostrophic Theory." In Midlatitude Synoptic Meteorology, 35–66. Boston, MA: American Meteorological Society, 2011. http://dx.doi.org/10.1007/978-1-878220-56-1_2.

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Özsoy, Emin. "Quasigeostrophic Theory." In Geophysical Fluid Dynamics I, 183–92. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-16973-2_7.

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Holland, William R. "Quasigeostrophic Modelling of Eddy-Resolved Ocean Circulation." In Advanced Physical Oceanographic Numerical Modelling, 203–31. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-017-0627-8_14.

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4

Bartello, Peter. "Quasigeostrophic and stratified turbulence in the atmosphere." In IUTAM Symposium on Turbulence in the Atmosphere and Oceans, 117–30. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-94-007-0360-5_10.

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5

Pedlosky, Joseph. "Quasigeostrophic Motion of a Stratified Fluid on a Sphere." In Geophysical Fluid Dynamics, 336–489. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4650-3_6.

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6

Duan, Jinqiao, Peter E. Kloeden, and Björn Schmalfuss. "Exponential stability of the quasigeostrophic equation under random perturbations." In Stochastic Climate Models, 241–56. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8287-3_10.

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7

Nielsen-Gammon, John W., and David A. Gold. "Dynamical Diagnosis: A Comparison of Quasigeostrophy and Ertel Potential Vorticity." In Synoptic—Dynamic Meteorology and Weather Analysis and Forecasting, 183–202. Boston, MA: American Meteorological Society, 2008. http://dx.doi.org/10.1007/978-0-933876-68-2_9.

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8

Davies, H. C., and H. Wernli. "DYNAMICAL METEOROLOGY | Quasigeostrophic Theory." In Encyclopedia of Atmospheric Sciences, 393–403. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-382225-3.00326-1.

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9

Salmon, Rick. "Geostrophic Turbulence." In Lectures on Geophysical Fluid Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195108088.003.0009.

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Abstract:
Strongly nonlinear, rapidly rotating, stably stratified flow is called geostrophic turbulence. This subject, which blends ideas from chapters 2,4, and 5, is relevant to the large-scale flow in the Earth’s oceans and atmosphere. The quasigeostrophic equations form the basis of the study of geostrophic turbulence. We view the quasigeostrophic equations as a generalization of the vorticity equation for two-dimensional turbulence to include the important effects of stratification, bottom topography, and varying Coriolis parameter. Thus the theory of geostrophic turbulence represents an extension of the theory of two dimensional turbulence. However, its richer physics and greater applicability to real geophysical flows make geostrophic turbulence a much more interesting and important subject. This chapter offers a very brief introduction to the theory of geostrophic turbulence. We illustrate the principal ideas by separately considering the effects of bottom topography, varying Coriolis parameter, and density stratification on highly nonlinear, quasigeostrophic flow. We make no attempt at a comprehensive review. In every case, the theory of geostrophic turbulence relies almost solely on two now-familiar components: a conservation principle that energy and potential vorticity are (nearly) conserved and an irreversibility principle in the form of an appealing assumption that breaks the time-reversal symmetry of the exact (inviscid) dynamics. This irreversibility assumption takes a great many superficially dissimilar forms, fostering the misleading impression of a great many competing explanations for the same phenomena. However, broadminded analysis inevitably reveals that these competing explanations are virtually equivalent. We begin by considering the quasigeostrophic flow of a single layer of homogeneous fluid over a bumpy bottom. No case better illustrates how diverse forms of the irreversibility principle lead to the same conclusions.
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Carton, X. J., and J. C. Mcwilliams. "Barotropic and Baroclinic Instabilities of Axisymmetric Vortices in a Quasigeostrophic Model." In Mesoscale/Synoptic Coherent structures in Geophysical Turbulence, 225–44. Elsevier, 1989. http://dx.doi.org/10.1016/s0422-9894(08)70188-0.

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Conference papers on the topic "Quasigeostrophic"

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Miglietta, Victoria M., and Manhar R. Dhanak. "Current Turbine Array Placement in Quasigeostrophic Flows Over Bottom Topography." In OCEANS 2019 MTS/IEEE SEATTLE. IEEE, 2019. http://dx.doi.org/10.23919/oceans40490.2019.8962717.

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