Water level simulation in bays by spatial interpolation of tidal constituents, residual water levels, and datums

dc.acquisition-srcDownloaded from-Science Directen_US
dc.call-noen_US
dc.contract-noen_US
dc.contributor.authorHess Ken_US
dc.contributor.otheren_US
dc.date.accessioned2010-02-15T17:16:42Z
dc.date.available2010-02-15T17:16:42Z
dc.date.issued2003 Maren_US
dc.degreeen_US
dc.description395-414en_US
dc.description-otheren_US
dc.description.abstractA new method of simulating total water level relative to a datum takes values at the tide gauges and spatially interpolates them throughout the region. The values at the gauges which are spatially interpolated are: (1) each tidal constituent's amplitude and (2) phase value; (3) the residual, or non-tidal, water level; and (4) the offset, which is either the difference between local mean sea level (MSL) and mean lower low water (MLLW), or a tidal datum (either MSL or MLLW) relative to the ellipsoid. The water level at any point is computed by summing the astronomic tide (computed from the interpolated constituents), the interpolated residual, and the interpolated offset. In addition, for a GPS-supported survey, the ellipsoidally referenced MLLW values can be spatially interpolated and used to determine MLLW depth. The spatial interpolation at the core of this method is carried out by the use of a set of weighting functions that quantify the local contribution from each of the shore gauges. The weighting functions are generated numerically by solving Laplace's equation on a grid. The new method of estimating total water levels relative to a datum is called tidal constituent and residual interpolation (TCARI). The TCARI method was tested for accuracy using post-processed kinematic GPS measurements of water level collected by NOS in Galveston Bay, Texas, and San Francisco Bay, California. The root mean square errors were estimated to be 8 cm for the Galveston Bay data and 9.2 cm for the San Francisco Bay data, which is approximately the error in the measurementsen_US
dc.description.urien_US
dc.historyen_US
dc.identifier.urihttp://hdl.handle.net/1969.3/23390
dc.latitudeen_US
dc.locationen_US
dc.longitudeen_US
dc.notesen_US
dc.placeen_US
dc.publisheren_US
dc.relation.ispartofseries51016.00en_US
dc.relation.urihttp://www.sciencedirect.com/science/article/B6VBJ-481FMFX-2/2/6282d52842a3932e118a28d05e8ded86en_US
dc.scaleen_US
dc.seriesen_US
dc.subjectWater levelsen_US
dc.subjectAstronomical tidesen_US
dc.subjectLaplace's equationen_US
dc.subjectNumerical methodsen_US
dc.subjectBoundary value problemsen_US
dc.titleWater level simulation in bays by spatial interpolation of tidal constituents, residual water levels, and datumsen_US
dc.typeJournalen_US
dc.universityen_US
dc.vol-issue23(5)en_US

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