1999
DOI: 10.1029/1999jc900043
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Modeling of two‐layer eddies and coastal flows with a particle method

Abstract: Abstract. An existing particle-in-cell (PIC) numerical method developed for the study of two-layer mesoscale motions with outcropping pycnocline is applied to lens-like anticyclonic vortices and buoyant coastal currents. From a first series of experiments investigating the evolution of an initially elongated lens-like anticyclone, it is found that motions induced in the lower layer act only to increase the rotation of the vortex structure and do not appear to affect the process of eccentricity reduction (parti… Show more

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Cited by 8 publications
(11 citation statements)
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References 42 publications
(19 reference statements)
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“…In particular, one remarkable peculiarity of the nonlinear, reduced-gravity shallow-water equations on an f plane is that they can be solved analytically in special cases of geophysical interest (see, e.g., Ball 1963;Thacker 1981;Young 1986;Cushman-Roisin 1987;Rogers 1989;Rubino et al 1998;Rubino and Dotsenko 2006). Such a characteristic has a particular relevance in oceanic sciences: apart from their intrinsic value and fascinations, analytical solutions of nonlinear equations referring to the dynamics of geophysical motions can help to evidence fundamental aspects inherent in the dynamics of observed flow features that may be difficult to unravel when their whole complexity is addressed (Esenkov and Cushman-Roisin 1999;Rubino and Dotsenko 2006). Moreover, such solutions can be used for assessing the performance of numerical models (see, e.g., Sun et al 1993;Esenkov and Cushman-Roisin 1999;Rubino et al 2002).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…In particular, one remarkable peculiarity of the nonlinear, reduced-gravity shallow-water equations on an f plane is that they can be solved analytically in special cases of geophysical interest (see, e.g., Ball 1963;Thacker 1981;Young 1986;Cushman-Roisin 1987;Rogers 1989;Rubino et al 1998;Rubino and Dotsenko 2006). Such a characteristic has a particular relevance in oceanic sciences: apart from their intrinsic value and fascinations, analytical solutions of nonlinear equations referring to the dynamics of geophysical motions can help to evidence fundamental aspects inherent in the dynamics of observed flow features that may be difficult to unravel when their whole complexity is addressed (Esenkov and Cushman-Roisin 1999;Rubino and Dotsenko 2006). Moreover, such solutions can be used for assessing the performance of numerical models (see, e.g., Sun et al 1993;Esenkov and Cushman-Roisin 1999;Rubino et al 2002).…”
Section: Introductionmentioning
confidence: 99%
“…Such a characteristic has a particular relevance in oceanic sciences: apart from their intrinsic value and fascinations, analytical solutions of nonlinear equations referring to the dynamics of geophysical motions can help to evidence fundamental aspects inherent in the dynamics of observed flow features that may be difficult to unravel when their whole complexity is addressed (Esenkov and Cushman-Roisin 1999;Rubino and Dotsenko 2006). Moreover, such solutions can be used for assessing the performance of numerical models (see, e.g., Sun et al 1993;Esenkov and Cushman-Roisin 1999;Rubino et al 2002). It is thus not surprising that, in the last decades, analytical solutions of the nonlinear reduced-gravity shallow-water equations referring to geophysical rotating vortices have been presented in different investigations.…”
Section: Introductionmentioning
confidence: 99%
“…One could thus consider threedimensional primitive equation models as the most adequate tools for the simulation of these fronts. However, a detailed description of the entire complexity of the surface frontal dynamics in a river outflow region is largely inhibited by its often unsustainedly high computational effort (O'Donnell 1993;Esenkov and Cushman-Roisin 1999), as well as by the sensitivity of the obtained solutions to the parametrizations adopted for taking into account turbulent processes (Ruddick et al 1995). For these reasons, more efficient ''process modeling'' strategies have been developed in the last three decades, which are still considered among the most valid tools for the description of oceanic flow features including frontal processes.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, such solutions can constitute an excellent basis for testing the performance of numerical models. This is especially true in the simulation of stratified surface as well as intermediate lenslike vortices, where one is faced on one hand with the complexity of implementing accurate techniques for the simulation of movable lateral boundaries needed for the description of the vortex expansions, contractions, and propagation and, on the other hand, with the difficulty of adequately resolving observed horizontal and vertical stratification (see, e.g., Sun et al 1993;Esenkov and Cushman-Roisin 1999).…”
Section: Discussionmentioning
confidence: 99%