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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Acta mathematicae applicatae sinica 3 (1987), S. 342-350 
    ISSN: 1618-3932
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We point out a mistake in [1] in the proof of infinite propagation of the weak solution of Cauchy problem for the equationu t =(A(u)) xx - φ(u). A more natural condition is given and the infinite propagation property for boundary value problem is studied. Finally, we discuss the supports of the weak solutions.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2022-05-25
    Description: Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in Ocean Modelling 47 (2012): 26-40, doi:10.1016/j.ocemod.2012.01.006.
    Description: A dike-groyne module is developed and implemented into the unstructured-grid, three dimensional primitive equation Finite-Volume Coastal Ocean Model (FVCOM) for the study of the hydrodynamics around human-made construction in the coastal area. The unstructured-grid finite-volume flux discrete algorithm makes this module capable of realistically including narrow-width dikes and groynes with free exchange in the upper column and solid blocking in the lower column in a terrain-following coordinate system. This algorithm used in the module is validated for idealized cases with emerged and/or submerged dikes and a coastal seawall where either analytical solutions or laboratory experiments are available for comparison. As an example, this module is applied to the Changjiang Estuary where a dike-groyne structure was constructed in the Deep Waterway channel in the inner shelf of the East China Sea (ECS). Driven by the same forcing under given initial and boundary conditions, a comparison was made for model-predicted flow and salinity via observations between dike-groyne and bed-conforming slope algorithms. The results show that with realistic resolution of water transport above and below the dike-groyne structures, the new method provides more accurate results. FVCOM with this MPI-architecture parallelized dike-groyne module provides a new tool for ocean engineering and inundation applications in coastal regions with dike, seawall and/or dam structures.
    Description: J. Ge and P. Ding have been supported by the Fund for Creative Research Groups of NSFC (No. 41021064), the PhD Program Scholarship Fund (2009010) of East China Normal University (ECNU), and the State Scholarship Fund from China Scholarship Council. C. Chen, J. Qi and R. C. Beardsley have been funded by the Northeast Regional Association of Coastal Ocean Observing Systems (NERACOOS), the IOOS/SURA Super-Regional Coastal Modeling Testbed, MIT Sea Grant NA06OAR4170019 and 571000271, and NSF grants OCE0606928, OCE0712903, OCE0732084, OCE0726851, OCE0814505, and OCE0804029.
    Keywords: Dike-Groyne ; Changjiang estuary ; Finite volume method ; Unstructured grid
    Repository Name: Woods Hole Open Access Server
    Type: Preprint
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  • 3
    Publication Date: 2022-05-25
    Description: Author Posting. © Inter-Research, 2013. This article is posted here by permission of Inter-Research for personal use, not for redistribution. The definitive version was published in Marine Ecology Progress Series 487 (2013): 201-215, doi:10.3354/meps10462.
    Description: Georges Bank is a region of high biological productivity characterized by a well-defined clockwise tidal rectified circulation gyre. Fluctuations in the year-class strength of haddock Melanogrammus aeglefinus on Georges Bank have been attributed to mortality during the highly vulnerable larval stages. While predation and starvation greatly impact on survival, advection to unfavorable regions may result in greatly reduced numbers of individuals. For successful self-recruitment to occur, individuals must remain within the shoal region of Georges Bank until settlement. An individual-based model (IBM) was utilized to estimate the retention of haddock eggs and larvae on Georges Bank annually for 1995 through 2009. The IBM was driven by the Finite-Volume Community Ocean Model (FVCOM) for the Gulf of Maine domain. Biological components of haddock larvae were omitted to restrict analyses to the impact of circulation on passive transport. Inflow over the Scotian Shelf and tidal interaction patterns were identified as the major drivers of variability in interannual transport-retention dynamics. The simulations indicated that retention rates were highest in 2000 and 2003, and lowest in 1997. The above-average retention in 2000 and 2003 with anomalously large recruitment only in 2003 indicates that high retention appears to be necessary but not sufficient to explain large recruitment events of haddock on Georges Bank.
    Description: This research is supported by the U.S. GLOBEC Northwest Atlantic/Georges Bank Program NSF (OCE-0234545, 0227679, 0606928, 0726851 and 0814505. The GoM3-FVCOM product was built with support from the NOAA NERACOOS and Massachusetts Ocean Partnership (MOP) (renamed SeaPlan in 2012) programs. C.C. was also supported by the Shanghai Ocean University International Cooperation Program (No. A-2302-11-0003), the Program of Science and Technology Commission of Shanghai Municipality (No. 09320503700) and the Leading Academic Discipline Project of Shanghai Municipal Education Commission (Project number J50702).
    Keywords: Larval retention ; Haddock ; Modeling ; Georges Bank ; Bio-physical coupling ; Fish early life history stages ; Fish larvae
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 4
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2016. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research: Oceans 121 (2016): 4392–4415, doi:10.1002/2016JC011634.
    Description: A high-resolution (up to 2 km), unstructured-grid, fully coupled Arctic sea ice-ocean Finite-Volume Community Ocean Model (AO-FVCOM) was employed to simulate the flow and transport through the Canadian Arctic Archipelago (CAA) over the period 1978–2013. The model-simulated CAA outflow flux was in reasonable agreement with the flux estimated based on measurements across Davis Strait, Nares Strait, Lancaster Sound, and Jones Sounds. The model was capable of reproducing the observed interannual variability in Davis Strait and Lancaster Sound. The simulated CAA outflow transport was highly correlated with the along-strait and cross-strait sea surface height (SSH) difference. Compared with the wind forcing, the sea level pressure (SLP) played a dominant role in establishing the SSH difference and the correlation of the CAA outflow with the cross-strait SSH difference can be explained by a simple geostrophic balance. The change in the simulated CAA outflow transport through Davis Strait showed a negative correlation with the net flux through Fram Strait. This correlation was related to the variation of the spatial distribution and intensity of the slope current over the Beaufort Sea and Greenland shelves. The different basin-scale surface forcings can increase the model uncertainty in the CAA outflow flux up to 15%. The daily adjustment of the model elevation to the satellite-derived SSH in the North Atlantic region outside Fram Strait could produce a larger North Atlantic inflow through west Svalbard and weaken the outflow from the Arctic Ocean through east Greenland.
    Description: NSF Grant Numbers: OCE-1203393, PLR-1203643; National Natural Science Foundation of China Grant Number: 41276197; Shanghai Pujiang Program Grant Number: 12PJ1404100; Shanghai Shuguang Program
    Description: 2016-12-25
    Keywords: Water transport ; Canadian Arctic Archipelago ; Atmospheric forcing ; Sea surface height
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 5
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2003. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 108, C11 (2003): 8011, doi:10.1029/2002JC001358.
    Description: Water exchange across the tidal-mixing front on the southern flank of Georges Bank (GB) is examined using a two-dimensional (2D) primitive equation ocean model. The model domain features a cross-frontal transect including a June 1999 hydrographic (CTD)/ADCP study made as part of the U.S. GLOBEC Northwest Atlantic/Georges Bank program. The model was initialized with temperature and salinity fields taken on the 15 June 1999 CTD section and run prognostically with tidal forcing, measured winds, and representative surface heat flux. The results show that fluctuations of wind plus tidal mixing can play the following essential role in the short-term transport of water and particles from the stratified region to the mixed region on GB in early summer, when stratification is just developing with a weak thermocline at a depth of about 10 m. First, a passing weather front drives a wind-induced on-bank Ekman transport of the upper part of the water column at the tidal-mixing front and associated particles in the surface mixed layer. Then, when the wind relaxes or changes direction, the water in the on-bank extension of the front (above the thermocline) mixes quickly through enhanced tidal motion in shallower depths of water. As a result, particles that are advected along the extended front stay in the previously well-mixed region of the bank. Surface heating tends to increase the strength of the thermocline and reduce the thickness of the surface mixed layer. This in turn accelerates the on-bank movement of the front under an easterly wind favorable for Ekman transport and thus enhances the on-bank, cross-frontal transport of particles. Since the wind-induced, cross-frontal on-bank transport of water can occur episodically during passages of meteorological fronts, these could produce a larger net cross-frontal flux than that produced by just tidal forcing on equivalent timescales. Therefore wind-induced processes can be important in the on-bank cross-frontal flux of copepods and other zooplankton species that exhibit shallow maxima in their vertical distributions over the southern flank of GB in early summer.
    Description: This research was supported by the U.S. GLOBEC Northwest Atlantic/Georges Bank program through NOAA grants NA56RG0487, NA960P003, and NA960P005 to C. Chen, NOAA support to R. Schlitz, G. R. Lough, K. Smith, and J. Manning, and NSF grants OCE 96-32357, OCE 98-06379, and OCE 02-27679 to R. Beardsley.
    Keywords: Cross-frontal exchange ; Tidal mixing front ; Wind-driven currents
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 6
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2003. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 108, C11 (2003): 8008, doi:10.1029/2001JC001245.
    Description: The influence of the diurnal heat flux on summer stratification and residual circulation over Georges Bank was examined using a three-dimensional primitive equation numerical circulation model. For a given spatially uniform and time-varying heat flux the model results show that the surface water is heated much faster on the southern flank than on the northern flank and much faster in the stratified region than in the mixed region. Heating significantly strengthens the tidal mixing front and intensifies the frontward convergence near the surface. As seasonal stratification develops, the location of the tidal mixing front gradually shifts on bank on the southern flank, while remaining almost unchanged on the northern flank. Response of the tidal currents to the diurnal variation in the heat flux varies across Georges Bank. It changes periodically with tidal cycles on the southern flank but is locked to the phase of the eastward tidal current on the northern flank. This phase-lock feature directly contributes to the intensification of the along-bank residual current jet on the northern flank. Diagnostic analysis suggests that this intensification is mainly caused by the heat-enhanced, cross-bank momentum flux. Model-computed variations of near-surface temperature and residual currents are in good agreement with satellite-derived sea surface temperature data and drifter measurements.
    Description: This research was supported by the U.S. GLOBEC Northwest Atlantic/Georges Bank program through NOAA grants NA56RG0487, NA960P003, and NA960P005 to C. Chen, NSF grants OCE 96-32357, OCE 98-06379, and OCE 02-27679 to R. Beardsley, and NOAA grant NA76GP0176 to Peter Franks.
    Keywords: Heat flux ; Tidal mixing front ; Residual current ; Stratification ; Frontward convergence
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 7
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2008. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 113 (2008): C07052, doi:10.1029/2007JC004328.
    Description: The tidal flooding/drying process in the Satilla River Estuary was examined using an unstructured-grid finite-volume coastal ocean model (FVCOM). Driven by tidal forcing at the open boundary and river discharge at the upstream end, FVCOM produced realistic tidal flushing in this estuarine tidal-creek intertidal salt-marsh complex, amplitudes and phases of the tidal wave, and salinity observed at mooring sites and along hydrographic transects. The model-predicted residual flow field is characterized by multiscale eddies in the main channel, which are verified by ship-towed ADCP measurements. To examine the impact of complex coastal geometry on water exchange in an estuarine tidal-creek salt-marsh system, FVCOM was compared with our previous structured-grid finite difference Satilla River Estuary model (ECOM-si). The results suggest that by failing to resolve the complex coastal geometry of tidal creeks, barriers and islands, a model can generate unrealistic flow and water exchange and thus predict the wrong dynamics for this estuary. A mass-conservative unstructured-grid model is required to accurately and efficiently simulate tidal flow and flushing in a complex geometrically controlled estuarine dynamical system.
    Description: This research was supported by the Georgia Sea grant (NA26RG0373 and NA66RG0282), the NOAA grant (NA16OP2323), and the NSF grants (OCE0234545, OCE0606928, OCE0712903, OCE0732084, and OCE0726851) for C. Chen, by the Georgia Sea grant (RR746-007/7512067, R/HAB-12-PD, R/HAB-18-PD, RR746-011/7876867), Georgia DNR (RR 100-279-9262764), and NSF grant (OCE-0554674) for C. Li.
    Keywords: Estuary ; Tidal creek ; Salt marsh
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 8
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2007. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 112 (2007): C03018, doi:10.1029/2006JC003485.
    Description: An unstructured grid, finite volume, three-dimensional (3-D) primitive equation coastal ocean model (FVCOM) has been developed for the study of coastal ocean and estuarine circulation by Chen et al. (2003a). The finite volume method used in this model combines the advantage of finite element methods for geometric flexibility and finite difference methods for simple discrete computation. Currents, temperature, and salinity are computed using an integral form of the equations, which provides a better representation of the conservative laws for mass, momentum, and heat. Detailed comparisons are presented here of FVCOM simulations with analytical solutions and numerical simulations made with two popular finite difference models (the Princeton Ocean Model and Estuarine and Coastal Ocean Model (ECOM-si)) for the following idealized cases: wind-induced long-surface gravity waves in a circular lake, tidal resonance in rectangular and sector channels, freshwater discharge onto the continental shelf with curved and straight coastlines, and the thermal bottom boundary layer over the slope with steep bottom topography. With a better fit to the curvature of the coastline using unstructured nonoverlapping triangle grid cells, FVCOM provides improved numerical accuracy and correctly captures the physics of tide-, wind-, and buoyancy-induced waves and flows in the coastal ocean. This model is suitable for applications to estuaries, continental shelves, and regional basins that feature complex coastlines and bathymetry.
    Description: This research was supported by the U.S. GLOBEC Northwest Atlantic/Georges Bank program through NSF grants OCE-0234545, OCE-0227679, NOAA grant NA 160P2323, and NSF CoOP grant OCE-0196543 to C. Chen and NSF OCE-0227679 and the WHOI Smith Chair to R. C. Beardsley. H. Huang and Q. Xu were supported by Chen’s Georgia and South Carolina Sea Grant awards NA06RG0029 and NA960P0113. G. Cowles was supported by the SMAST fishery program through NOAA grants DOC/NOAA/NA04NMF4720332 and DOC/NOAA/NA05NMF4721131.
    Keywords: Finite volume model ; Numerical methods ; Coastal ocean
    Repository Name: Woods Hole Open Access Server
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  • 9
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2008. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 113 (2008): C02005, doi:10.1029/2007JC004106.
    Description: A process-oriented model-dye comparison experiment was conducted to examine the ability of a numerical ocean model to simulate the observed movement of dye across the tidal mixing front on the southern flank of Georges Bank during 22–26 May 1999. The experiment was made using the unstructured-grid Finite-Volume Coastal Ocean Model (FVCOM) with varying horizontal resolution. The results indicate that the observed cross-isobath movement of the dye patch was primarily controlled by meso-scale temporal and spatial variability of the water temperature and salinity fields. Onset of vertical stratification tended to slow down an upward stretching of the dye column and trapped the dye within the bottom mixed layer. To reach a convergent numerical solution that reproduced the observed lateral turbulent dispersion of dye, the FVCOM grid required a horizontal resolution of ∼500 m in the dye study region. Within the tidal mixing front of Georges Bank, the movement of the center of the dye patch was mainly driven by the ensemble velocity integrated over the dye volume, with a first-order contribution from vertical shear of the dye's horizontal velocity.
    Description: This research was supported by the U.S. GLOBEC Northwest Atlantic/Georges Bank Program NSF (OCE-0234545; OCE-0227679) and NOAA grants (NA-16OP2323) to Changsheng Chen and Qixchun Xu, NSF grant (OCE-0236270) to Robert Houghton, and the Smith Chair in Coastal Oceanography and NOAA grant (NA-17RJ1223) to R.C. Beardsley. The experiments were conducted using the Linux cluster computers of the Marine Ecosystem Dynamics Modeling Laboratory at the School of Marine Science and Technology, University of Massachusetts- Dartmouth, funded by the SMAST Fishery Program through NOAA grants DOC/NOAA/NA04NMF4720332 and DOC/NOAA/NA05NMF4721131.
    Keywords: Model-dye comparison ; Tidal mixing front ; Lateral diffusion
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 10
    Publication Date: 2022-05-25
    Description: Author Posting. © American Geophysical Union, 2012. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 117 (2012): C05014, doi:10.1029/2011JC007843.
    Description: Observing system simulation experiments (OSSEs) were performed in Massachusetts Bay for the design of optimal monitoring sites for dissolved oxygen (DO) measurements. Experiments were carried out using the Ensemble Kalman Filter (EnKF) for data assimilation with focus on initial and boundary perturbations. Running a well-validated water quality model with a perturbed initial field of DO but “true” boundary forcing conditions, the model is capable of restoring DO back to the true state without data assimilation over a recovery time scale of about a month. Since DO in Massachusetts Bay has a bay-wide correlation scale, placing a monitoring site of DO near the northern boundary or at a location that has maximum correlation to the entire domain can shorten the restoring time to a week. Running the model with perturbed boundary forcing without data assimilation, the results show that the errors propagate into Massachusetts Bay following the inflow from the northern boundary and spread southward to Cape Cod Bay over a time scale of about a month. Using a DO monitoring site located near the northern entrance, the data assimilation can efficiently control the error propagation and prevent the model field from deviating from the true state. The model shows that the inflow from the northern entrance, which is connected to the upstream Western Maine Coastal Current, plays an important role in controlling the DO variation in Massachusetts Bay, and the residence time of the bay controlled by this flow is about one month. Understanding the upstream boundary-control nature of this system is critical for optimal design of sampling strategies of water quality variables in this region.
    Description: This work was supported by the MIT Sea Grant College Program through grants 2010-R/RC-116, the NOAA NERACOOS Program and the Massachusetts Water Resources Authority (MWRA) as well as NSF Ocean Sciences Division grants numbered OCE-0814505 and OCE-0726851. The development of FVCOM and data assimilation codes were supported by the NSF Ocean Sciences Division through grants OCE-0234545, OCE-0227679, OCE-0606928, OCE-0712903 and the NSF Office of Polar Programs-Arctic Sciences Division through grants ARC0712903, ARC0732084, and ARC0804029. C. Chen's contribution is also supported by Shanghai Ocean University International Cooperation Program (A-3605-12-0001), the Program of Science and Technology Commission of Shanghai Municipality (09320503700), and the Leading Academic Discipline Project of Shanghai Municipal Education Commission (project J50702).
    Description: 2012-11-08
    Keywords: FVCOM ; Massachusetts Bay ; OSSEs ; Data assimilation ; Dissolved oxygen ; Water quality
    Repository Name: Woods Hole Open Access Server
    Type: Article
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