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At least 19 records

Surface waves affect frontogenesis

Here, this paper provides a detailed analysis of momentum, angular momentum, vorticity, and energy budgets of a submesoscale front undergoing frontogenesis driven by an upper–ocean, submesoscale eddy field in a Large Eddy Simulation (LES). The LES solves the wave–averaged, or Craik–Leibovich, equations in order to account for the Stokes forces that result from interactions between nonbreaking surface waves and currents, and resolves both submesoscale eddies and boundary layer turbulence down to 4.9 m × 4.9 m × 1.25 m grid scales. It is found that submesoscale frontogenesis differs from traditional frontogenesis theory due to four effects: Stokes forces, momentum and kinetic energy transfer from submesoscale eddies to frontal secondary circulations, resolved turbulent stresses, and unbalanced torque. In the energy, momentum, angular momentum, and vorticity budgets for the frontal overturning circulation, the Stokes shear force is a leading–order contributor, typically either the second or third largest source of frontal overturning. These effects violate hydrostatic and thermal wind balances during submesoscale frontogenesis. The effect of the Stokes shear force becomes stronger with increasing alignment of the front and Stokes shear and with a nondimensional scaling. The Stokes shear force and momentum transfer from submesoscale eddies significantly energize the frontal secondary circulation along with the buoyancy.

58 GEOSCIENCES↗

Frontogenesis and frontal arrest of a dense filament in the oceanic surface boundary layer

The evolution of upper ocean currents involves a set of complex, poorly understood interactions between submesoscale turbulence (e.g. density fronts and filaments and coherent vortices) and smaller-scale boundary-layer turbulence. Here we simulate the lifecycle of a cold (dense) filament undergoing frontogenesis in the presence of turbulence generated by surface stress and/or buoyancy loss. This phenomenon is examined in large-eddy simulations with resolved turbulent motions in large horizontal domains using ${\sim}10^{10}$ grid points. Steady winds are oriented in directions perpendicular or parallel to the filament axis. Due to turbulent vertical momentum mixing, cold filaments generate a potent two-celled secondary circulation in the cross-filament plane that is frontogenetic, sharpens the cross-filament buoyancy and horizontal velocity gradients and blocks Ekman buoyancy flux across the cold filament core towards the warm filament edge. Within less than a day, the frontogenesis is arrested at a small width, ${\approx}100~\text{m}$ , primarily by an enhancement of the turbulence through a small submesoscale, horizontal shear instability of the sharpened filament, followed by a subsequent slow decay of the filament by further turbulent mixing. The boundary-layer turbulence is inhomogeneous and non-stationary in relation to the evolving submesoscale currents and density stratification. The occurrence of frontogenesis and arrest are qualitatively similar with varying stress direction or with convective cooling, but the detailed evolution and flow structure differ among the cases. Thus submesoscale filament frontogenesis caused by boundary-layer turbulence, frontal arrest by frontal instability and frontal decay by forward energy cascade, and turbulent mixing are generic processes in the upper ocean.

Mechanics↗

Langmuir turbulence and filament frontogenesis in the oceanic surface boundary layer

Submesoscale currents, small-scale turbulence and surface gravity waves co-exist in the upper ocean and interact in complex ways. To expose the couplings, the frontogenetic life cycle of an idealized cold dense submesoscale filament interacting with upper ocean Langmuir turbulence is investigated in large-eddy simulations (LESs) based on the incompressible wave-averaged equations. The simulations utilize large domains and fine meshes with $6.4\times 10^{9}$ grid points. Case studies are made with surface winds or surface cooling with waves oriented in across-filament (perpendicular) or down-filament (parallel) directions relative to the two-dimensional filament axis. The currents $u$ , $v$ and $w$ are aligned with the across-filament, down-filament and vertical directions, respectively. Frontogenesis is induced by across-filament Lagrangian secondary circulations in the boundary layer, and it is shown to be strongly impacted by surface waves, in particular the propagation direction relative to the filament axis. In a horizontally heterogeneous boundary layer, surface waves induce both mean and fluctuating Stokes-drift vortex forces that modify a linear, hydrostatic turbulent thermal wind (TTW) approximation for momentum. Down-filament winds and waves are found to be especially impactful, they significantly reduce the peak level of frontogenesis by fragmenting the filament into primary and secondary down-welling sites in a broad frontal zone over a width ${\sim}500~\text{m}$ . At peak frontogenesis, opposing down-filament jets $\langle v\rangle$ overlie each other resulting in a vigorous vertical shear layer $\unicode[STIX]{x2202}_{z}\langle v\rangle$ with large vertical momentum flux $\langle v^{\prime }w^{\prime }\rangle$ . Filament arrest is induced by a lateral shear instability that generates horizontal momentum flux $\langle u^{\prime }v^{\prime }\rangle$ at low wavenumbers. The turbulent vertical velocity patterns, indicative of coherent Langmuir cells, change markedly across the horizontal domain with both across-filament and down-filament winds under the action of submesoscale currents.

Mechanics↗

Intermittent Frontogenesis in the Alboran Sea

Abstract We present a phenomenological description and dynamical analysis of the Alboran fronts using a realistic simulation at submesoscale resolution. The study is focused on east Alboran fronts emerging within relatively strong flows that separate from the Spanish coast into the basin interior. Despite modest lateral shifting associated with the position of the Alboran anticyclonic gyres and variations in intensity, these fronts present a similar structure and dynamical configuration as the climatological Almeria–Oran front. The statistical analysis of our solution shows that strained-induced frontogenesis is a recurrent submesoscale mechanism associated with these fronts, and the process is assessed in terms of the advective Lagrangian frontogenetic tendencies associated with buoyancy and velocity horizontal gradients. Intermittency in their strength and patterns is indicative of high variability in the occurrence of active frontogenesis in association with the secondary (overturning) circulation across the frontal gradient. As a result, we find many episodes with strong surface fronts that do not have much associated downwelling. Frontogenesis and the associated secondary circulation are further explored during two particular frontal events, both showing strong downwelling of (1) cm s −1 extending down into the pycnocline. A frontogenetic contribution of turbulent vertical momentum mixing to the secondary circulation is identified in the easternmost region during the cold season, when the dynamics are strongly influenced by the intrusion of the salty Northern Current. The background vertical velocity fields observed during the analyzed events indicate other currents in the submesoscale range, including tidal and topographic internal waves.

Capó, Esther↗

Diagnosis of the role of vertical deformation in a two-dimensional primitive equation model of upper-level frontogenesis

In the present equations for the temporal rates of change of the magnitudes of potential temperature and absolute momentum vector gradients that are projected onto vertical planes transverse to straight frontal zones, the terms involving the transverse ageostrophic circulation are of the same mathematical form, and in a kinematic sense are also analogous to, the divergence and deformation terms that involve the horizontal wind field in Pettersen's (1936) classic equation for frontogenesis in the potential temperature field. The proposed frontogenesis equation form for the magnitude of the potential temperature gradient in the transverse plane is illustrated with the results of two simulations from an idealized, two-dimensional primitive equation model in which upper level frontogenesis proceeds by very different mechanisms.

Keyser, D.↗

The effect of along-front temperature variation in a two-dimensional primitive equation model of a surface frontogenesis

The effects of along-front temperature variations on the structure and evolution of surface fronts are investigated using a two-dimensional frontogenesis model. The formulation and characteristics of the confluence-horizontal shear model are described. The structures of three frontal zones forced by confluence and characterized by zero, negative, and positive along-front potential temperature variations are analyzed; particular attention is given to the ageostrophic vertical circulation and their forcings. The temporal evolution of the model frontal zones is examined in terms of the low-level maxima of vorticity, cross-front potential temperature gradient, and convergence. The kinematic and dynamic processes influencing the frontogenesis are discussed. It is noted that the two-dimensional model is applicable to the study of the dynamical properties of frontogenesis.

Keyser, Daniel↗

A generalization of Petterssen's frontogenesis function and its relation to the forcing of vertical motion

The classic Peterssen frontogenesis function, defined as the Lagrangian rate of change of the magnitude of the potential temperature gradient, is generalized to apply to the vector potential temperature gradient. The derivation of vector frontogenesis in natural coordinates is shown, and analytical examples of frontal evolution in nondivergent horizontal velocity fields are given which suggest that both the frontogenetic and rotational components of the vector frontogenesis function F may be comparable in developing frontal zones observed in nature. The relative importance of the magnitude and direction contributions to F is quantitatively investigated, and it is found that the Lagrangian rates of change of the magnitude and direction of the potential temperature gradient are comparable. The frontal circulation is found to be related to the magnitude component of the Q vector, whereas the background circulation is related to the direction component.

Keyser, Daniel↗

Frontogenesis driven by horizontally quadratic distributions of density

Attention is given to the quadratic density distribution in a channel, which has been established by Simpson and Linden to be the simplest case of the horizontally nonlinear distribution of fluid density required for the production of frontogenesis. The porous-media and Boussinesq flow models are examined, and their evolution equations are reduced to one-dimensional systems. While both the porous-media and the inviscid/nondiffusive Boussinesq systems exhibit classic frontogenesis behavior, the viscous Boussinesq system exhibits a more complex behavior: boundary-layer effects force frontogenesis away from the lower boundary, and at late times the steepest density gradients are close to mid-channel.

Jacqmin, David↗

The combined use of diagnosed mesoscale frontogenesis and satellite imagery in forecasting squall line formation

The appearance of a line of small cumulus congestus clouds along a cold front in conjunction with developing mesoscale clear zone immediately behind the front was used to infer the existence of a meso-Beta-scale frontogenetical circulation capable of squall line initiation. The very short-range forecasting (2 to 6 hr) capabilities of synthesizing GOES imagery with diagnostic frontogenesis analyses of conventional surface data to predict the precise location and time of formation of such convective activity is demonstrated. The observations support the frontogenesis hypothesis postulated by Koch (1984).

Dorian, Paul↗

A two-dimensional primitive equation model of frontogenesis forced by confluence and horizontal shear

A two-dimensional primitive equation model of frontogenesis is presented. The model treats confluence and horizontal shear in combination. The structure and evolution of model frontal zones forced by confluence are described for a control case featuring a zero alongfront thermal gradient and positive and negative thermal gradients, facing downstream. A comparison is made with Miller's (1948) equation for the zero gradient situation to illustrate the significance of horizontal and vertical motions for the structure of the upper level frontal zone. Finally, the effects of ageostrophic circulations on the evolutionary and structural differences of frontal formations are studied.

Keyser, D.↗

Diagnosis of ageostrophic circulations in a two-dimensional primitive equation model of frontogenesis

A two-dimensional primitive equation frontogenesis model is applied to the identification of dynamical mechanisms which contribute to transverse ageostrophic circulation in warm and cold advection situations. Attention is focused on conditions conducive to significant alongfront ageostrophic flow with divergence confined to the transverse plane. The circulation is partitioned as a function of forcing mechanisms accompanied by confluence, horizontal shear and the alongfront component of the ageostrophic wind. A series of diagnostic equations is defined for the transverse geostrophic circulation and instantaneous contribution from each partitioned component of the circulation are quantified. In the cold advection case, results are obtained which are consistent with positive feedback between the subsidence pattern and forcing by horizontal shear.

Keyser, D.↗

Balanced and unbalanced upper-level frontogenesis

The impacts of vertical shear in the cross-front component of the geostrophic wind, and of its implied along-front temperature gradient, on frontogenesis at upper levels were investigated using a hierarchy of three dynamical models based on the Keyser and Pecnick (1985) primitive-equation model. The three models are (in order of decreasing sophistication) the anelastic (AN), the geostrophic momentum (GM), and the quasi-geostsrophic (QG) approximations to the primitive equations. Intercomparison of the broad-scale structure of the upper-level jet-fronts as described by the AN and GM models showed close agreement. In contrast, the QG model exhibited marked differences with its AN counterpart, which became more pronounced with increased geostrophic wind.

Reeder, Michael J.↗

Characterizing the Severe Turbulence Environments Associated with Commercial Aviation Accidents: Hydrostatic Mesobeta Scale Numerical Simulations of Supergradient Wind Flow and Streamwise Ageostrophic Frontogenesis - Part 2

Simulation experiments reveal key processes that organize a hydrostatic environment conducive to severe turbulence. The paradigm requires juxtaposition of the entrance region of a curved jet stream, which is highly subgeostrophic, with the entrance region of a straight jet stream, which is highly supergeostrophic. The wind and mass fields become misphased as the entrance regions converge resulting in the significant spatial variation of inertial forcing, centripetal forcing, and along- and cross-stream pressure gradient forcing over a mesobeta scale region. This results in frontogenesis and the along-stream divergence of cyclonic and convergence of cyclonic ageostrophic vertical vorticity. The centripetally forced mesoscale front becomes the locus of large gradients of ageostrophic vertical vorticity along an overturning isentrope. This region becomes favorable for streamwise vorticity gradient formation enhancing the environment for organization of horizontal vortex tubes in the presence of buoyant forcing.

Kaplan, Michael L.↗

Fronts and frontogenesis as revealed by high time resolution data

Upper air sounding are used to examine a cold front of average intensity. Vertical cross sections of potential temperature and wind, and horizontal analyses were compared and adjusted for consistency. These analyses were then used to study the evolution of the front, found to consist of a complex system of fronts occurring at all levels of the troposphere. Low level fronts were strongest at the surface and rapidly weakened with height. Fronts in the midddle troposphere were much more intense. The warm air ahead of the fronts was nearly barotropic, while the cold air behind was baroclinic through deep layers. A deep mixed layer was observed to grow in this cold air.

Frank, A. E.↗

Numerical simulation of frontogenesis in a moist atmosphere

This paper describes the effects of condensation and evaporation on mesoscale frontal circulations in a two-dimensional numerical model. Utilizing an explicit scheme for the prediction of water vapor, cloud water and rainwater, the model is used to investigate the interactions between convection and the larger-scale environment. The model results are qualitatively compared with results of theoretical and observational studies, including those from the recent Severe Environmental Storms and Mesoscale Experiment-Atmospheric Variability Experiment (SESAME-AVE). Three major differences are observed in a comparison of the moist and dry simulations: (1) The speed of the upper- and lower-level jets was significantly higher in the moist case, (2) The intensity of the ageostrophic circulations in the moist simulation was much stronger, (3) The vertical velocity field in the moist case was characterized by a banded structure not present in the dry case.

Hsie, E.-Y.↗

Comments on 'Frontogenesis in a moist semigeostrophic model'

The development of narrow updrafts or jetlike features in the vertical motion field (VMF) over the leading edge of a surface frontal zone is examined on the basis of model simulations, summarizing and clarifying the results presented by Keyser and Anthes (1982) and responding to critical remarks by Mak and Bannon (1984). Typical velocity and potential-temperature cross sections are shown, and it is concluded that the inclusion of generally parameterized planetary-boundary-layer (PBL) physics in the model has a significant effect on the VMF, suggesting that frictional processes alone (without latent heating) can explain the formation of jetlike frontal updrafts. In a reply by Mak and Bannon it is argued that the increased strength of the VMF in models including PBL physics is not significant, whereas other models show that the VMF can be significantly strengthened and narrowed by condensational heating alone.

Keyser, D.↗

A numerical study of Appalachian cold-air damming and coastal frontogenesis

The mesoscale structures of the wedge-shaped pressure ridge and the coastal front associated with the Appalachian ice storm of January 13-14, 1980 is analyzed using a mesoscale model. The characteristic features of the mesoscale model, which uses 15 vertical levels, 50-km grid length, and multilevel, boundary-layer parameterization, are described. The simulation of the surface layer winds and temperature, the evolution of the vertical temperature structure of the wedge-ridge region, and model simulations of the low-level jets and the coastal front are examined. Trajectories based on the 24-hr simulation of the winds are discussed.

Stauffer, David R.↗