The accuracy of surface elevations in forward global barotropic and baroclinic tide models

Arbic, Brian K.; Garner, Stephen T.; Hallberg, Robert; Simmons, Harper L.

doi:10.1016/j.dsr2.2004.09.014

Cited by 152 publications

(252 citation statements)

References 88 publications

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“…Recent work (beginning with Ray and Mitchum [1996;see also Matsumoto et al, 2000;Arbic et al, 2004;Lyard et al, 2006]) has also confirmed the importance, for even greater accuracy, of accounting for the conversion of barotropic tidal energy into internal waves around large bathymetric features.…”

Section: The Db Response and Ocean Tide Modelsmentioning

confidence: 92%

Rotationally acceptable ocean tide models for determining the response of the oceans to atmospheric pressure fluctuations

Dickman¹

2010

J. Geophys. Res.

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[1] Suitably generalized, ocean tide models can be used to determine the oceans' response to atmospheric pressure forcing; but the huge range of spatial and temporal scales of that forcing limits the relevance of state-of-the-art tide modeling techniques, like data assimilation, for such determinations. With an interest in its effects on Earth's rotation, in 1998 I employed a generalized but non-assimilating spherical harmonic tide model to determine the oceanic response to pressure forcing, however restricting its application to time scales exceeding a few days. This article revisits that spherical harmonic model in an attempt to improve its rotational predictions of short-period tides. We find that increasing the resolution of the model ocean does not by itself affect the tidal solution much, but varying the model's frictional parameters can produce diurnal tides whose effects on Earth's polar motion are similar to those of a variety of other ocean tide models. Such an improved model will allow our calculations of the oceans' dynamic response to pressure forcing, and the effects of that response on Earth's rotation, to be extended down to diurnal time scales.Citation: Dickman, S. R. (2010), Rotationally acceptable ocean tide models for determining the response of the oceans to atmospheric pressure fluctuations,

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Section: The Db Response and Ocean Tide Modelsmentioning

confidence: 92%

Rotationally acceptable ocean tide models for determining the response of the oceans to atmospheric pressure fluctuations

Dickman¹

2010

J. Geophys. Res.

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“…(1), ζ E may be thus conceived as a proxy of the gravitational forcing of each tidal constituent, computed from tabulated equilibrium amplitudes A E for either diurnal (subscript/argument d) or semi-diurnal (subscript/argument s) tides; cf. Table 1 of Arbic et al (2004):…”

Section: Equilibrium Tide and Effects Of Salmentioning

confidence: 99%

“…Partial tides not included in Arbic et al (2004) were taken proportional to the respective potential from the HW95 catalog (Hartmann and Wenzel 1995). An initial (t = 0) phase lag for each equilibrium tide was introduced using the fundamental arguments of Simon et al (1994).…”

Section: Equilibrium Tide and Effects Of Salmentioning

confidence: 99%

“…First, purely hydrodynamic (or forward) tide models are mere solvers of the shallow water equations, using only knowledge of bathymetry and the astronomical forcing. Ideas about drag and dissipation can be tested freely in such environments (Arbic et al 2004), butwith the exception of the atmosphere driven S 1 tide (Ray and Egbert 2004)-forward-modeled elevations and currents are generally too inaccurate to meet the requirements of space geodesy. Second, assimilation models combine hydrodynamic cores with sea level observations from altimetry in one common adjustment and feature root-mean-square (RMS) misfits of less than 0.6 cm per constituent when validated against ground truth estimates from deep-water bottom pressure stations .…”

Section: Introductionmentioning

confidence: 99%

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High-frequency Earth rotation variations deduced from altimetry-based ocean tides

Madzak

Schindelegger

Boehm

et al. 2016

J Geod

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A model of diurnal and semi-diurnal variations in Earth rotation parameters (ERP) is constructed based on altimetry-measured tidal heights from a multi-mission empirical ocean tide solution. Barotropic currents contributing to relative angular momentum changes are estimated for nine major tides in a global inversion algorithm that solves the two-dimensional momentum equations on a regular 0.5 • grid with a heavily weighted continuity constraint. The influence of 19 minor tides is accounted for by linear admittance interpolation of ocean tidal angular momentum, although the assumption of smooth admittance variations with frequency appears to be a doubtful concept for semi-diurnal mass terms in particular. A validation of the newly derived model based on post-fit corrections to polar motion and universal time ( UT1) from the analysis of Very Long Baseline Interferometry (VLBI) observations shows a variance reduction for semi-diurnal UT1 residuals that is significant at the 0.05 level with respect to the conventional ERP model. Improvements are also evident for the explicitly modeled K 1 , Q 1 , and K 2 tides in individual ERP components, but large residuals of more than 15 µas remain at the principal lunar frequencies of O 1 and M 2 . We attribute these shortcomings to uncertainties in the inverted relative angular momentum changes and, to a minor extent, to violation of mass conservation in the empirical ocean tide solution. Further dedicated hydrodynamic modeling efforts of these anomalous constituents

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“…A full description and simulation require the use of proper numerical algorithms and corresponding reliable software run on parallel supercomputers (MAJDA 2003;ARBIC et al, 2004). This is far too time-consuming and not feasible for most real-time applications of tsunami warning, which needed to be precomputed, however.…”

Section: Shallow-water Equationsmentioning

confidence: 99%

Modeling and Visualization of Tsunamis

Zhang

Shi

Yuen

et al. 2008

Pure appl. geophys.

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Abstract-Modeling tsunami wave propagation is a very challenging numerical task, because it involves many facets: Such as the formation of various types of waves and the impingement of these waves on the coast. We will discuss the different levels of approximations made in numerical modeling of 2-D and 3-D tsunami waves and their relative difficulties. In this paper new attempts are proposed to evaluate the hazards of tsunami's and visualization of large-scale numerical results generated from tsunami simulations. Specialized low-level computer language, based on a parallel computing environment, is also employed here for generating FORTRAN source code for finite elements. This code can then be run very efficiently in parallel on distributed computing systems. We will also discuss the need to study tsunami waves with modern software and visualization hardware.

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The accuracy of surface elevations in forward global barotropic and baroclinic tide models

Cited by 152 publications

References 88 publications

Rotationally acceptable ocean tide models for determining the response of the oceans to atmospheric pressure fluctuations

Rotationally acceptable ocean tide models for determining the response of the oceans to atmospheric pressure fluctuations

High-frequency Earth rotation variations deduced from altimetry-based ocean tides

Modeling and Visualization of Tsunamis

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