Experiments in tidal mass conservation

Dickman, Steven

doi:10.1111/j.1365-246x.1990.tb00545.x

Cited by 12 publications

(8 citation statements)

References 17 publications

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“…The tide heights and velocities which served ;I\ the basis for most of the tabulations of this article were dctt~rmined from a spherical harmonic theory developed over tiit. past several years (Dickman 1985(Dickman , 1988(Dickman , 1989(Dickman , 1990a(Dickman , b. 1991.…”

Section: General Descriptionsmentioning

confidence: 99%

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Dynamic Ocean-Tide Effects On Earth's Rotation

Dickman

1993

Geophysical Journal International

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This article develops 'broad-band' Liouville equations which are capable of determining the effects on the rotation of the Earth of a periodic excitation even at frequencies as high as semi-diurnal; these equations are then used to predict the rotational effects of altimetric, numerical and 32-constituent spherical harmonic ocean-tide models. The rotational model includes a frequency-dependent decoupled core, the effects of which are especially marked near retrograde diurnal frequencies; and a fully dynamic oceanic response, whose effects appear to be minor despite significant frequency dependence. The model also includes solid-earth effects which are frequency dependent as the result of both anelasticity at long periods and the fluid-core resonance at nearly diurnal periods.The effects of both tidal inertia and relative angular momentum on Earth rotation (polar motion, length of day, 'nutation' and Universal Time) are presented for 32 long-and short-period ocean tides determined as solutions to the author's spherical harmonic tide theory. The lengthening of the Chandler wobble period by the pole tide is also re-computed using the author's full theory. Additionally, using the spherical harmonic theory, tidal currents and their effects on rotation are determined for available numerical and altimetric tide height models. For all models, we find that the effects of tidal currents are at least as important as those of tide height for diurnal and semi-diurnal constituents.

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Section: General Descriptionsmentioning

confidence: 99%

“…The development proceeds as in Dickman (1989Dickman ( , 1990a, regardless of whether a is positive or negative, and is extended to include ocean-wide mass conservation and other constraints following the same procedures as in Dickman (1990bDickman ( , 1991. The only modification is that in the matrixed momentum equations, eq.…”

Section: = C W~j mentioning

confidence: 99%

Dynamic Ocean-Tide Effects On Earth's Rotation

Dickman

1993

Geophysical Journal International

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123

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“…An observational estimation of the zonal-response function K ( J ) has been determined and compared with theoretical values o f Nam & Dickman (1990). This indicates that improvements may be required in the K ( J ) derived in their work.…”

Section: O N C L U S I O Nmentioning

confidence: 97%

An Analysis of Tidal Variations In the Length of Day

McCarthy

Luzum

1993

Geophysical Journal International

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S U M M A R YObservations of the length of day, corrected for the effects of variations in the angular momentum due to changes in wind velocity and atmospheric pressure, ocean-tide heights and currents, and solid-Earth zonal tides, were analysed. The (1992) IERS Standards model for the effects of zonal tides on the Earth's rotation, which includes ocean-tidal effects, adequately accounts for the observations of the high-frequency (periods between one and 30 days) variations in the length of day at the present level of accuracy. A currently unexplained semi-annual variation in the length of day remains, but this may be due to the unmodelled effects of stratospheric winds. The power spectrum of the remaining variations with periods less than 20 days is essentially that of a white-noise process. The amplitudes of the remaining unexplained variations in length of day are less than 30 microseconds.

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“…Dickman, 1990b]. Such global factors are easily incorporated into a spherical harmonic formulation [e.g., Dickman, 1988bDickman, , 1990b. In contrast, as discussed by Lyard et al [2006;see also Matsumoto et al, 2000 andRay, 1998], among many others, significant computational challenges must be faced when loading and selfgravitation are added to numerical tide models, with the tide equations elevated to a set of integrodifferential equations; a demanding, iterative approach using prior solutions has been found to avoid most of the difficulties.…”

Section: A Rotational Perspective On Ocean Tide Modelsmentioning

confidence: 99%

“…And though all tide models obey point-wise continuity, a failure to satisfy ocean-wide mass conservation could condemn an otherwise "accurate" tide model to useless rotational predictions [cf. Dickman, 1990b]. Such global factors are easily incorporated into a spherical harmonic formulation [e.g., Dickman, 1988bDickman, , 1990b.…”

Section: A Rotational Perspective On Ocean Tide Modelsmentioning

confidence: 99%

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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Experiments in tidal mass conservation

Cited by 12 publications

References 17 publications

Dynamic Ocean-Tide Effects On Earth's Rotation

Dynamic Ocean-Tide Effects On Earth's Rotation

An Analysis of Tidal Variations In the Length of Day

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

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