Dynamics of Ocean Tides

Marchuk, G. I.; Каган, Б. А.

doi:10.1007/978-94-009-2571-7

Cited by 53 publications

(48 citation statements)

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“…The POP ocean model is further modified by Zhang et al (2010b) to incorporate tidal forcing arising from the eight primary constituents (M2, S2, N2, K2, K1, O1, P1, and Q1) (Gill, 1982). The tidal forcing consists of a tide generating potential with corrections due to both the earth tide and self-attraction and loading following Marchuk and Kagan (1989). The sea ice model is a thickness and enthalpy distribution (TED) sea ice model (Zhang and Rothrock, 2003;Hibler, 1980).…”

Section: Model Elementsmentioning

confidence: 99%

The influence of sea ice and snow cover and nutrient availability on the formation of massive under-ice phytoplankton blooms in the Chukchi Sea

Zhang

Ashjian

Campbell

et al. 2015

Deep Sea Research Part II: Topical Studies in Oceanography

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Section: Model Elementsmentioning

confidence: 99%

The influence of sea ice and snow cover and nutrient availability on the formation of massive under-ice phytoplankton blooms in the Chukchi Sea

Zhang

Ashjian

Campbell

et al. 2015

Deep Sea Research Part II: Topical Studies in Oceanography

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“…We conclude by noting that the term k, Av is sometimes added (Kagan & Monin 1978;Marchuk & Kagan 1983) to Laplace's equations (1); here k, is the so-called 'coefficient of turbulent horizontal friction' having the dimension of kinematic viscosity vlp. Schwiderski (1980) finds the numerical values of kh by trial and error in such a way as to obtain the best fit between theoretical and observed tides.…”

Section: Effect Of Bottom Frictionmentioning

confidence: 99%

Asymptotic Behaviour of Solutions to Laplace's Tidal Equations At Low Frequencies

Molodensky

1989

Geophysical Journal International

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S U M M A R YThe asymptotic behaviour of solutions to Laplace's tidal equations at low frequencies is considered. The method used is based on perturbation in small parameters, these being the ratios of tidal frequency and the coefficient of bottom friction to the angular frequency of the Earth's rotation. It is shown that the resulting solutions are unstable in that the functions involved in the zero-order approximation are not uniquely determined by the zero-order equations, but depend on first-order terms as well. Because of this instability, direct methods of numerical integration are inefficient. We propose a different procedure, replacing the original set of equations in partial derivatives by ordinary differential equations that have a stable solution. The equations are examined qualitatively. It is shown, in particular, that for the case of an ocean of uniform depth over the whole Earth, they coincide with the well-known Lamb's equations. The asymptotic behaviour of the solutions is examined as modified by basin shape, bottom topography and bottom friction.

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“…Figure 5 shows the results for the LSA solution, and for the case without it, for the A4 grid. LSA lengthen the periods slightly, as was predicted by Marchuk and Kagan (1989) from Rayleigh's ratio analysis. The effects of LSA were modeled by the same approximate technique to obtain solutions with the A2 grid, the results are presented in Table 5.…”

Section: Arctic Oceanmentioning

confidence: 86%

“…Some initial investigations integrated the LTE directly with only the bathymetry and basin configuration as associated data, as listed by Marchuk and Kagan (1989). Technological advances associated with the electronic computer, numerical techniques, and satellite oceanography allowed the creation of very accurate tidal solutions for the global oceans.…”

Section: Tidal Synthesismentioning

confidence: 99%

Normal Modes of the Global Oceans—A Review

Sanchez¹

2008

Marine Geodesy

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This paper deals with the normal modes of the global oceans. More specifically, it reviews some of the work done in association with the modeling, detection, and application of the barotropic, basin-wide normal modes. The paper presents some results obtained by means of the Proudman-Rao method. The fields of tidal synthesis from a set of normal modes, and paleotides, in the context of normal modes and the evolution of the Earth-Moon system, are surveyed as well. Works associated with the detection of normal modes are discussed also. The paper closes with an analysis of possible future developments.

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Dynamics of Ocean Tides

Cited by 53 publications

References 0 publications

The influence of sea ice and snow cover and nutrient availability on the formation of massive under-ice phytoplankton blooms in the Chukchi Sea

The influence of sea ice and snow cover and nutrient availability on the formation of massive under-ice phytoplankton blooms in the Chukchi Sea

Asymptotic Behaviour of Solutions to Laplace's Tidal Equations At Low Frequencies

Normal Modes of the Global Oceans—A Review

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