complex empirical orthogonal function
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2020 ◽  
Author(s):  
Kelsey Brunner ◽  
Kamazima M. M. Lwiza

Abstract. Coastal trapped waves (CTWs) become scattered when they encounter irregular coastlines and bathymetry during propagation. Analytical and modeling studies have provided some information about the different types of shelf geometries that can induce scattering, but much of the CTW scattering process generally remains a large knowledge gap. Furthermore, CTW scattering has never before been directly identified with observations. High-frequency radar surface velocity data covering the Mid-Atlantic Bight (MAB) continental shelf provides unprecedented observations of CTWs within a region with a highly complex coastline and bathymetry. A combination of velocity vector maps from real vector empirical orthogonal function (R-EOF) analysis and phase maps from complex empirical orthogonal function (C-EOF) analysis allow the identification of CTW scattering by assuming each EOF mode corresponds to a CTW mode. Abrupt jumps in phase in association with magnitude amplification/reduction or directional rotation of velocity vectors are indications of scattering. Using these guidelines, Georges Bank, Hudson Shelf Valley, Delaware Bay mouth, Chesapeake Bay mouth, and the North Carolina shelf are identified as high scattering regions within the MAB. Furthermore, stratification is confirmed to increase scattering into progressively higher order modes through a cascading process by comparing winter and summer cases, which supports previous theoretical and numerical model predictions. The simple methodology used here can be applied to observations of CTWs on other coastlines around the world to identify additional scattering regions and help close the knowledge gap.


2016 ◽  
Vol 46 (3) ◽  
pp. 993-1008 ◽  
Author(s):  
Bernadette M. Sloyan ◽  
Ken R. Ridgway ◽  
Rebecca Cowley

AbstractThe East Australian Current (EAC) is the complex and highly energetic poleward western boundary current of the South Pacific Ocean. A full-depth current meter and property (temperature and salinity) mooring array was deployed from the continental shelf to the abyssal waters off Brisbane Australia (27°S) for 18 months from April 2012 to August 2013. The EAC mooring array is an essential component of the Australian Integrated Marine Observing System (IMOS). During this period the EAC was coherent with an eddy kinetic to mean kinetic energy ratio of less than 1. The 18-month, mean, poleward-only mass transport above 2000 m is 22.1 ± 7.5 Sverdrups (Sv; 1 Sv ≡ 106 m3 s−1). The mean, poleward-only heat transport and flow-weighted temperature above 2000 m are −1.35 ± 0.42 PW and 15.33°C, respectively. A difference in the poleward-only and net poleward mass and heat transports above 2000 m of 6.3 Sv and 0.24 PW reflects the presence of an equatorward EAC retroflection at the eastern (offshore) end of the mooring array. A complex empirical orthogonal function (EOF) analysis of the along-slope velocity anomalies finds that the first two modes explain 72.1% of the velocity variance. Mode 1 is dominant at periods of approximately 60 days, and mode 2 is dominant at periods of 120 days. These dominant periods agree with previous studies in the Tasman Sea south of 27°S and suggest that variability of the EAC in the Tasman Sea may be linked to variability north of 27°S.


2009 ◽  
Vol 26 (4) ◽  
pp. 828-837 ◽  
Author(s):  
Richard M. Gorman

Abstract The problem of temporal interpolation of wind fields is addressed by comparing the performance of standard linear interpolation with two methods that aim to provide a more accurate description of advecting weather systems: the complex empirical orthogonal function (EOF) method introduced by Zavala-Hidalgo and a method based on fast Fourier transform (FFT) techniques. Two test cases are considered. In the first, wind fields representing an idealized fast-moving tropical cyclone were interpolated. In this case, the FFT method provided root-mean-square errors approximately two-thirds of those from linear interpolation, while the EOF method produced larger errors than linear interpolation. The second test case, using one month of ECMWF analysis fields on a Southern Hemisphere regional domain, showed that the FFT method is insufficiently robust for complex wind fields with multiple moving weather systems. The EOF method, on the other hand, produced smaller errors than linear interpolation.


2007 ◽  
Vol 37 (12) ◽  
pp. 2855-2868 ◽  
Author(s):  
Wilbert Weijer ◽  
Frédéric Vivier ◽  
Sarah T. Gille ◽  
Henk A. Dijkstra

Abstract Observations of the sea surface height in the Argentine Basin indicate that strong variability occurs on a time scale of 20−30 days. The aim of this study is to determine the physical processes responsible for this variability. First, results are presented from two statistical techniques applied to a decade of altimetric data. A complex empirical orthogonal function (CEOF) analysis identifies the recently discovered dipole mode as the dominant mode of variability. A principal oscillation pattern (POP) analysis confirms the existence of this mode, which has a period of 25 days. The second CEOF displays a propagating pattern in the northern Argentine Basin, plus a rotating dipole in the southwest corner. The POP analysis identifies both patterns as individual modes, with periods of 30 and 20 days, respectively. Second, the barotropic normal modes of the Argentine Basin are studied, using a shallow-water model capturing the full bathymetry of the basin. Coherences between the spatial patterns of these modes and altimeter data suggest that several of the basin modes are involved in the observed variability. This analysis implies that the 20-day mode detected by recent bottom-pressure measurements is a true barotropic mode. However, the 25-day variability, as found in altimeter data, cannot be directly attributed to the excitation of a free Rossby basin mode. This study indicates that the results of several apparently conflicting observations of the flow variability in the Argentine Basin can be reconciled by assuming that multiple basin modes are involved.


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