Matches in SemOpenAlex for { <https://semopenalex.org/work/W2003647508> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2003647508 endingPage "679" @default.
- W2003647508 startingPage "668" @default.
- W2003647508 abstract "Non-linear tidal constituents, such as the overtide M4 or the compound tide MS4, are generated by interaction in shallow seas of the much larger astronomically forced “primary” tidal constituents (e.g., M2, S2). As such, errors in modeling these “secondary” shallow-water tides might be expected to be caused first of all by errors in modeling the primary constituents. Thus, in the context of data assimilation, observations of primary-constituent harmonic constants can indirectly constrain shallow-water constituents. Here we consider variational data assimilation for primary and secondary tidal constituents as a coupled problem, using a simple linearized perturbation theory for weak interactions of the dominant primary constituents. Variation of the resulting penalty functional leads to weakly non-linear Euler–Lagrange equations, which we show can be solved approximately with a simple two-stage scheme. In the first stage, data for the primary constituents are assimilated into the linear shallow water equations (SWE), and the resulting inverse solutions are used to compute the quadratic interactions in the non-linear SWE that constitute the forcing for the secondary constituents. In the second stage, data for the compound or overtide constituent are assimilated into the linear SWE, using a prior forced by the results of the first stage. We apply this scheme to assimilation of TOPEX/Poseidon and Jason altimetry data on the Northwest European Shelf, comparing results to a large set of shelf and coastal tide gauges. Prior solutions for M4, MS4 and MN4 computed using inverse solutions for M2, S2, and N2 dramatically improve fits to validation tide gauges relative to unconstrained forward solutions. Further assimilation of along-track harmonic constants for these shallow-water constituents reduces RMS differences to below 1 cm on the shelf, approaching the accuracy of the validation tide gauge harmonic constants." @default.
- W2003647508 created "2016-06-24" @default.
- W2003647508 creator A5009625871 @default.
- W2003647508 creator A5051727497 @default.
- W2003647508 creator A5076787944 @default.
- W2003647508 date "2010-04-01" @default.
- W2003647508 modified "2023-09-27" @default.
- W2003647508 title "Assimilation of altimetry data for nonlinear shallow-water tides: Quarter-diurnal tides of the Northwest European Shelf" @default.
- W2003647508 cites W1982432852 @default.
- W2003647508 cites W2016961529 @default.
- W2003647508 cites W2025865840 @default.
- W2003647508 cites W2035707289 @default.
- W2003647508 cites W2040569206 @default.
- W2003647508 cites W2045989154 @default.
- W2003647508 cites W2071336840 @default.
- W2003647508 cites W2082993115 @default.
- W2003647508 cites W2086631747 @default.
- W2003647508 cites W2091747883 @default.
- W2003647508 cites W2091771725 @default.
- W2003647508 cites W2168623655 @default.
- W2003647508 cites W2173246082 @default.
- W2003647508 cites W2177999089 @default.
- W2003647508 cites W3135576002 @default.
- W2003647508 doi "https://doi.org/10.1016/j.csr.2009.10.011" @default.
- W2003647508 hasPublicationYear "2010" @default.
- W2003647508 type Work @default.
- W2003647508 sameAs 2003647508 @default.
- W2003647508 citedByCount "104" @default.
- W2003647508 countsByYear W20036475082012 @default.
- W2003647508 countsByYear W20036475082013 @default.
- W2003647508 countsByYear W20036475082014 @default.
- W2003647508 countsByYear W20036475082015 @default.
- W2003647508 countsByYear W20036475082016 @default.
- W2003647508 countsByYear W20036475082017 @default.
- W2003647508 countsByYear W20036475082018 @default.
- W2003647508 countsByYear W20036475082019 @default.
- W2003647508 countsByYear W20036475082020 @default.
- W2003647508 countsByYear W20036475082021 @default.
- W2003647508 countsByYear W20036475082022 @default.
- W2003647508 countsByYear W20036475082023 @default.
- W2003647508 crossrefType "journal-article" @default.
- W2003647508 hasAuthorship W2003647508A5009625871 @default.
- W2003647508 hasAuthorship W2003647508A5051727497 @default.
- W2003647508 hasAuthorship W2003647508A5076787944 @default.
- W2003647508 hasConcept C111368507 @default.
- W2003647508 hasConcept C121332964 @default.
- W2003647508 hasConcept C127313418 @default.
- W2003647508 hasConcept C13280743 @default.
- W2003647508 hasConcept C140295346 @default.
- W2003647508 hasConcept C151730666 @default.
- W2003647508 hasConcept C153294291 @default.
- W2003647508 hasConcept C158622935 @default.
- W2003647508 hasConcept C17534553 @default.
- W2003647508 hasConcept C177918212 @default.
- W2003647508 hasConcept C186348155 @default.
- W2003647508 hasConcept C197115733 @default.
- W2003647508 hasConcept C24552861 @default.
- W2003647508 hasConcept C2779343474 @default.
- W2003647508 hasConcept C49204034 @default.
- W2003647508 hasConcept C62520636 @default.
- W2003647508 hasConceptScore W2003647508C111368507 @default.
- W2003647508 hasConceptScore W2003647508C121332964 @default.
- W2003647508 hasConceptScore W2003647508C127313418 @default.
- W2003647508 hasConceptScore W2003647508C13280743 @default.
- W2003647508 hasConceptScore W2003647508C140295346 @default.
- W2003647508 hasConceptScore W2003647508C151730666 @default.
- W2003647508 hasConceptScore W2003647508C153294291 @default.
- W2003647508 hasConceptScore W2003647508C158622935 @default.
- W2003647508 hasConceptScore W2003647508C17534553 @default.
- W2003647508 hasConceptScore W2003647508C177918212 @default.
- W2003647508 hasConceptScore W2003647508C186348155 @default.
- W2003647508 hasConceptScore W2003647508C197115733 @default.
- W2003647508 hasConceptScore W2003647508C24552861 @default.
- W2003647508 hasConceptScore W2003647508C2779343474 @default.
- W2003647508 hasConceptScore W2003647508C49204034 @default.
- W2003647508 hasConceptScore W2003647508C62520636 @default.
- W2003647508 hasIssue "6" @default.
- W2003647508 hasLocation W20036475081 @default.
- W2003647508 hasOpenAccess W2003647508 @default.
- W2003647508 hasPrimaryLocation W20036475081 @default.
- W2003647508 hasRelatedWork W1974502598 @default.
- W2003647508 hasRelatedWork W1995924653 @default.
- W2003647508 hasRelatedWork W2000081681 @default.
- W2003647508 hasRelatedWork W2018644434 @default.
- W2003647508 hasRelatedWork W2030135906 @default.
- W2003647508 hasRelatedWork W2063069850 @default.
- W2003647508 hasRelatedWork W2071463454 @default.
- W2003647508 hasRelatedWork W2994913579 @default.
- W2003647508 hasRelatedWork W30487149 @default.
- W2003647508 hasRelatedWork W4225115513 @default.
- W2003647508 hasVolume "30" @default.
- W2003647508 isParatext "false" @default.
- W2003647508 isRetracted "false" @default.
- W2003647508 magId "2003647508" @default.
- W2003647508 workType "article" @default.