1,793
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

A Kalman Filter Approach to Realize the Lowest Astronomical Tide Surface

, , , , , , & show all
Pages 44-67 | Received 21 Jul 2017, Accepted 09 Oct 2017, Published online: 14 Dec 2017

References

  • Andersen, O. B., P. Knudsen, and L. Stenseng. 2015. The DTU13 MSS (Mean Sea Surface) and MDT (Mean Dynamic Topography) from 20 Years of Satellite Altimetry. Berlin, Heidelberg: Springer. pp. 1–10. doi:10.1007/1345_2015_182.
  • Carrère, L. and F. Lyard. 2003. Modeling the barotropic response of the global ocean to atmospheric wind and pressure forcing - comparisons with observations. Geophysical Research Letters 30 (6): n/a–n/a. doi:10.1029/2002GL016473.
  • Carrère, L., F. Lyard, M. Cancet, L. Roblou, and A. Guillot. 2012. FES2012: A new tidal model taking advantage of nearly 20 years of altimetry measurements. Presented at the Ocean Surface Topography Science Team 2012 Meeting, Venice-Lido, Italy, September 22–29, 2012.
  • Charnock, H. Wind stress on a water surface. 1955. Quarterly Journal of the Royal Meteorological Society 81: 639–640. doi: 10.1002/qj.49708135027.
  • CNES/CNRS-Legos/CLS. 2016. Dynamic Atmospheric Correction. Available at http://www.aviso.altimetry.fr/en/data/products/auxiliary-products/atmospheric-corrections.html. Last accessed July 2016.
  • Codiga, D. L. 2011. Unified tidal analysis and prediction using the UTide Matlab functions. Technical Report, Graduate School of Oceanography, University of Rhode Island, Narragansett, RI. 59 pp.
  • Common Wadden Sea Secretariat. 2017. Habitats & Protected Areas. Available at http://www.waddensea-secretariat.org/monitoring-tmap/tmap-results/habitats-protected-areas. Last accessed March 2017).
  • Dee, D. P., S. M. Uppala, A. J. Simmons, P. Berrisford, P. Poli, S. Kobayashi, U. Andrae, M. A. Balmaseda, G. Balsamo, P. Bauer, P. Bechtold, A. C. M. Beljaars, L. van de Berg, J. Bidlot, N. Bormann, C. Delsol, R. Dragani, M. Fuentes, A. J. Geer, L. Haimberger, S. B. Healy, H. Hersbach, E. V. Hólm, L. Isaksen, P. Kållberg, M. Köhler, M. Matricardi, A. P. McNally, B. M. Monge-Sanz, J.-J. Morcrette, B.-K. Park, C. Peubey, P. de Rosnay, C. Tavolato, J.-N. Thépaut, and F. Vitart. 2011. The ERA-Interim reanalysis: configuration and performance of the data assimilation system. Quarterly Journal of the Royal Meteorological Society 137 (656): 553–597. doi: 10.1002/qj.828.
  • Denker, H. 2013. Regional Gravity Field Modeling: Theory and Practical Results. Sciences of Geodesy - II, G. Xu (ed.), . Berlin Heidelberg: Springer. pp. 185–291. doi: 10.1007/978-3-642-28000-9_5.
  • Denker, H. 2015. A new European Gravimetric (Quasi)Geoid EGG2015. 26th IUGG General Assembly, June 22–July 2, Prague, Czech Republic.
  • El Serafy, G. Y., H. Gerritsen, S. Hummel, A. H. Weerts, A. E. Mynett, and M. Tanaka. 2007. Application of data assimilation in portable operational forecasting systems—the datools assimilation environment. Ocean Dynamics, 57 (4): 485–499. doi: 10.1007/s10236-007-0124-3.
  • El Serafy, G. Y. and A. E. Mynett. 2008. Improving the operational forecasting system of the stratified flow in Osaka Bay using an ensemble Kalman filterbased steady state Kalman filter. Water Resources Research, 44 (6): n/a–n/a. doi: 10.1029/2006WR005412. W06416.
  • Evensen, G. 2003. The ensemble Kalman filter: Theoretical formulation and practical implementation. Ocean Dynamics 53 (4): 343–367. doi: 10.1007/s10236-003-0036-9.
  • Frederikse, T., R. Riva, D. C. Slobbe, T. Broerse, and M. Verlaan. 2016. Estimating decadal variability in sea level from tide gauge records: An application to the north sea. Journal of Geophysical Research: Oceans 121 (3): 1529–1545. doi: 10.1002/2015JC011174.
  • Good, S. A., M. J. Martin, and N. A. Rayner. 2013. En4: Quality controlled ocean temperature and salinity profiles and monthly objective analyses with uncertainty estimates. Journal of Geophysical Research Oceans 118 (12): 6704–6716. doi: 10.1002/2013JC009067.
  • Greatbatch, R. J. 1994. A note on the representation of steric sea level in models that conserve volume rather than mass. Journal of Geophysical Research 99: 12767–12771. doi: 10.1029/94JC00847.
  • Holt, J. T., J. I. Allen, R. Proctor, and F. Gilbert. 2005. Error quantification of a high-resolution coupled hydrodynamic ecosystem coastal ocean model: Part 1 model overview and assessment of the hydrodynamics. Journal of Marine Systems 57 (1–2): 167–188. doi: 10.1016/j.jmarsys.2005.04.008.
  • Iliffe, J. C., M. K. Ziebart, J. F. Turner, A. J. Talbot, and A. P. Lessnoff. 2013. Accuracy of vertical datum surfaces in coastal and offshore zones. Survey Review 45 (331): 254–262. doi: 10.1179/1752270613Y.0000000040.
  • International Hydrographic Organization. 2011. Resolutions of the International Hydrographic Organization. Publication M-3, 2nd ed., 2010. Available at http://www.iho.int. Updated to December 2016.
  • International Hydrographic Organization - Tides, Water Level And Currents Working Group. 2016. Standard Constituent List. Available at https://www.iho.int/mtg_docs/com_wg/IHOTC/IHOTC_Misc/TWLWG_Constituent_list.pdf. Last accessed 28 July 2016.
  • IOC, SCOR and IAPSO. 2010. The International Thermodynamic Equation of Seawater - 2010: Calculation and Use of Thermodynamic Properties. Intergovernmental Oceanographic Commission, Manuals and Guides No. 56, UNESCO (English), 196 pp. Available at http://www.teos-10.org/pubs/TEOS-10_Manual.pdf. Last accessed 29 September 2011.
  • Ku, L.-F., D. A. Greenberg, C. J. R. Garrett, and F. W. Dobson. 1985. Nodal modulation of the lunar semidiurnal tide in the Bay of Fundy and Gulf of Maine. Science 230 (4721): 69–71. doi: 10.1126/science.230.4721.69.
  • Kwanten, M. C. 2007. Memorie Noordzee reductiematrix 2006 (in Dutch). Ministerie van defensie, Koninklijke Marine, Dienst der Hydrografie.
  • Leendertse, J. J. 1967. Aspects of a Computational Model for Long-period Water-Wave Propagation. Rand Corporation for the United States Air Force Project Rand.
  • Mäkinen, J. and J. Ihde. 2008. The permanent tide in height systems. Observing Our Changing Earth, volume 133 of International Association of Geodesy Symposia,Sansò, F. and M. G. Sideris (eds.). Berlin Heidelberg: Springer. pp. 81–87.
  • Mellor, G. L. and T. Ezer. 1995. Sea level variations induced by heating and cooling: An evaluation of the Boussinesq approximation in ocean models. Journal of Geophysical Research 100 (C10): 20565–20577. doi: 10.1029/95JC02442.
  • Robin, C., S. Nudds, P. MacAulay, A. Godin, B. De Lange Boom, and J. Bartlett. 2016. Hydrographic vertical separation surfaces (HyVSEPs) for the tidal waters of Canada. Marine Geodesy 39 (2): 195–222. doi: 10.1080/01490419.2016.1160011.
  • Schluter, C. 1993. Tidal modelling within a mangrove environment. 11th Australasian Conference on Coastal and Ocean Engineering: Coastal Engineering a Partnership with Nature. Australia: Institution of Engineers. pp. 725.
  • Slobbe, D. C., R. Klees, M. Verlaan, L. L. Dorst, and H. Gerritsen. 2013a. Lowest astronomical tide in the North Sea derived from a vertically referenced shallow water model, and an assessment of its suggested sense of safety. Marine Geodesy 36 (1): 31–71. doi: 10.1080/01490419.2012.743493.
  • Slobbe, D. C., R. Klees, M. Verlaan, F. Zijl, B. Alberts, and H. H. Farahani. In press. Height system connection between island and mainland using a hydrodynamic model.
  • Slobbe, D. C., M. Verlaan, R. Klees, and H. Gerritsen. 2013b. Obtaining instantaneous water levels relative to a geoid with a 2D storm surge model. Continental Shelf Research 52 (0): 172–189. doi: 10.1016/j.csr.2012.10.002.
  • Stelling, G. S. 1984. On the construction of computational methods for shallow water flow problems. PhD Thesis. Delft University of Technology, Delft.
  • Turner, J. F., J. C. Iliffe, M. K. Ziebart, C. Wilson, and K. J. Horsburgh. 2010. Interpolation of tidal levels in the coastal zone for the creation of a hydrographic datum. Journal of Atmospheric and Oceanic Technology, 27: 605–613. doi: 10.1175/2009JTECHO645.1.
  • Van Velzen, N. and A. J. Segers. 2010. A problem-solving environment for data assimilation in air quality modelling. Environmental Modelling & Software, 25 (3): 277–288. doi: 10.1016/j.envsoft.2009.08.008.
  • Wakelin, S., J. While, R. King, E. O’Dea, J. Holt, R. Furner, J. Siddorn, M. Martin, McEwan, R., E. Blockley, and J. Tinker. 2016. Quality Information Document: North West European Shelf Reanalysis NORTHWESTSHELF_REANALYSIS_PHYS_004_009 and NORTHWESTSHELF_REANALYSIS_BIO_004_011. EU Copernicus Marine Service. Issue 3.0.
  • Wessel, P. 2009. A general-purpose Green’s function-based interpolator. Computers and Geosciences 35: 1247–1254.
  • Wessel, P. and W. H. F. Smith. 1995. New version of the generic mapping tools. EOS Transactions 76: 329–329. doi: 10.1029/95EO00198.
  • Wunsch, C. and D. Stammer. 1997. Atmospheric loading and the oceanic “inverted barometer” effect. Reviews of Geophysics, 35: 79–107. doi: 10.1029/96RG03037.
  • Zijl, F., J. Sumihar, and M. Verlaan. 2015. Application of data assimilation for improved operational water level forecasting on the northwest european shelf and north sea. Ocean Dynamics 65 (12): 1699–1716. doi: 10.1007/s10236-015-0898-7.
  • Zijl, F., M. Verlaan, and H. Gerritsen. 2013. Improved water-level forecasting for the northwest European shelf and north sea through direct modelling of tide, surge and non-linear interaction. Ocean Dynamics 63 (7): 823–847. doi: 10.1007/s10236-013-0624-2.