Application of the smooth orthogonal decomposition to oceanographic data sets

Kuehl, Joseph; DiMarco, Steven F.; Spencer, Laura J.; Guinasso, Norman L.

doi:10.1002/2014gl060237

Cited by 11 publications

(6 citation statements)

References 17 publications

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“…This 12.7 day subinertial wave had characteristics of baroclinic topographically trapped waves. A modal decomposition of M1 was performed on the current data set during a time of relatively constant flow parameters (September 2012 to February 2013), which resulted in the identification of a 4–5 day topographic Rossby wave [ Kuehl et al ., ]. This result suggests that 4–5 day topographic Rossby waves naturally exist on this region of the northern Gulf of Mexico slope, so it is likely that the passage of Hurricane Isaac excited this type of response upon its passing.…”

Section: Discussionmentioning

confidence: 88%

Asymmetric oceanic response to a hurricane: Deep water observations during Hurricane Isaac

et al. 2016

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The eye of Hurricane Isaac passed through the center of an array of six deep water watercolumn current meter moorings deployed in the northern Gulf of Mexico. The trajectory of the hurricane provided for a unique opportunity to quantify differences in the full water-column oceanic response to a hurricane to the left and right of the hurricane trajectory. Prior to the storm passage, relative vorticity on the right side of the hurricane was strongly negative, while on the left, relative vorticity was positive. This resulted in an asymmetry in the near-inertial frequencies oceanic response at depth and horizontally. A shift in the response to a slightly larger inertial frequencies 1.11f was observed and verified by theory. Additionally, the storm passage coincided with an asymmetric change in relative vorticity in the upper 1000 m, which persisted for 15 inertial periods. Vertical propagation of inertial energy was estimated at 29 m/d, while horizontal propagation at this frequency was approximately 5.7 km/d. Wavelet analysis showed two distinct subinertial responses, one with a period of 2-5 days and another with a period of 5-12 days. Analysis of the subinertial bands reveals that the spatial and temporal scales are shorter and less persistent than the near-inertial variance. As the array is geographically located near the site of the Deep Water Horizon oil spill, the spatial and temporal scales of response have significant implications for the fate, transport, and distribution of hydrocarbons following a deep water spill event. Key Points:The oceanic response to hurricane forcing is asymmetric with respect to the storm's trajectory Oceanic response was limited to about 15 inertial periods

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Section: Discussionmentioning

confidence: 88%

Asymmetric oceanic response to a hurricane: Deep water observations during Hurricane Isaac

et al. 2016

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“…Thus, this solution may be of particular importance to flows over oceanic sills or straits. Fluid is pumped out of the boundary layer (into the interior flow) on the offshore side of the current and into the boundary layer (out of the interior flow) on the nearshore side of the current. The linear superposition of this Ekman pumping with topographic Rossby waves [ Kuehl et al , ; Hamilton , ; Rhines , ] or tidal sloshing over the sloping topography [ DiMarco and Reid , ] may result in a net cross‐topography transport in which deep offshore material is lifted up and across the topography. For the case given above (De Soto Canyon to Mississippi Canyon, with imposed 10cm s −1 flow beyond the buffer), the transport between the boundary layer and interior flow (into boundary layer on nearshore side and out of boundary layer on offshore side) is approximately 5 × 10 4 m 3 s −1 .…”

Section: Discussionmentioning

confidence: 99%

An analytic solution for barotropic flow along a variable slope topography

Kuehl

2014

Geophysical Research Letters

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An analytic solution is derived for the generic oceanographic situation of a barotropic current flowing along sloping topography. It is shown that the shallow water equations can be reduced to a heat‐like equation in which βeffect is balanced by Ekman dissipation. For constant topography, the system is found to admit a well‐known similarity solution and this solution is generalized to the case of variable topography. Several properties of the solution are explored, and an example is given for flow along the northern Gulf of Mexico slope, between the De Soto Canyon and the Mississippi Canyon. This “Topographic β‐plume” solution may serve as a model for further research concerning the influence exerted by geophysical boundary layers on the interior flow via their structure and stability.

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“…Here, the works of Chelidze and co-workers 3,7-10 and the recent work of Kuehl 11 are followed. There are also many treatments of DMD available in the literature, which usually focus on the Krylov subspace interpretation.…”

Section: Article Scitationorg/journal/advmentioning

confidence: 99%

Toward a unified interpretation of the “proper”/“smooth” orthogonal decompositions and “state variable”/“dynamic mode” decompositions with application to fluid dynamics

2020

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A common interpretation is presented for four powerful modal decomposition techniques: “proper orthogonal decomposition,” “smooth orthogonal decomposition,” “state-variable decomposition,” and “dynamic mode decomposition.” It is shown that, in certain cases, each technique can be interpreted as an optimization problem and similarities between methods are highlighted. By interpreting each technique as an optimization problem, significant insight is gained toward the physical properties of the identified modes. This insight is strengthened by being consistent with cross-multiple decomposition techniques. To illustrate this, an inter-method comparison of synthetic hypersonic boundary layer stability data is presented.

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Application of the smooth orthogonal decomposition to oceanographic data sets

Cited by 11 publications

References 17 publications

Asymmetric oceanic response to a hurricane: Deep water observations during Hurricane Isaac

Asymmetric oceanic response to a hurricane: Deep water observations during Hurricane Isaac

An analytic solution for barotropic flow along a variable slope topography

Toward a unified interpretation of the “proper”/“smooth” orthogonal decompositions and “state variable”/“dynamic mode” decompositions with application to fluid dynamics

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