Global prediction of abyssal hill roughness statistics for use in ocean models from digital maps of paleo-spreading rate, paleo-ridge orientation, and sediment thickness

Goff, John A.; Arbic, Brian K.

doi:10.1016/j.ocemod.2009.10.001

Cited by 68 publications

(148 citation statements)

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“…This effect is linear in the energy of the lowmode compartment and analyzed in detail by Müller and Xu (1992). Since the decay time scale is proportional to the variance and mean wavenumber of the topography, recent estimates of the corresponding geophysical parameters of the abyssal hills given by Goff and Arbic (2010) can be used for this process. No comprehensive theory is at hand for the scattering of low-mode energy to the wave continuum at topographic obstacles of larger scale such as continental margins and isolated islands.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…2a. The structure in t M 2 in the interior is to a large extent related to the abyssal hill roughness represented by the variance h 2 rms , which is in turn related to the spreading rate of the midoceanic ridge system and the sediment thickness as given by Goff and Arbic (2010) …”

Section: Wave-wave Interactionmentioning

confidence: 99%

“…(3) for c g and the vertical wavenumber m 5 np/h. The impact of topography on the scattering flux is described by the total variance of topographic h 2 rms and the mean wavenumber of the spectrum k. We use the digital maps of geophysical parameters for the abyssal hills given by Goff and Arbic (2010) for h 2 rms and k 5 2p/l n , where l n is the characteristic width and h rms is the rms topographic height. These maps are based on estimates of paleo-spreading rates of the midoceanic ridge system and sediment thickness and are shown and discussed in Goff and Arbic (2010, their Figs.…”

mentioning

confidence: 99%

“…5 and 6). Following Goff and Arbic (2010), we use a linear relation between spreading rates r and uncorrected rms height h 0 and width l 0 , that is, h 0 5 2r 3 1473.4 y 1 247 m and l 0 5 2r 3 43 900 y 1 7444 m. The correction due to sedimentation is applied by converting to the actual values of h rms and l n by h rms 5…”

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confidence: 99%

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An Energy Compartment Model for Propagation, Nonlinear Interaction, and Dissipation of Internal Gravity Waves

Eden¹,

Olbers

2014

Journal of Physical Oceanography

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The recently proposed Internal Wave Dissipation, Energy and Mixing (IDEMIX) model, describing the propagation and dissipation of internal gravity waves in the ocean, is extended. Compartments describing the energy contained in the internal tides and the near-inertial waves at low, vertical wavenumber are added to a compartment of the wave continuum at higher wavenumbers. Conservation equations for each compartment are derived based on integrated versions of the radiative transfer equation of weakly interacting waves. The compartments interact with each other by the scattering of tidal energy to the wave continuum by triad wavewave interactions, which are strongly enhanced equatorward of 288 due to parametric subharmonic instability of the tide and by scattering to the continuum of both tidal and near-inertial wave energy over rough topography and at continental margins. Global numerical simulations of the resulting model using observed stratification, forcing functions, and bottom topography yield good agreement with available observations.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Wave-wave Interactionmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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An Energy Compartment Model for Propagation, Nonlinear Interaction, and Dissipation of Internal Gravity Waves

Eden¹,

Olbers

2014

Journal of Physical Oceanography

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“…Smith and Sandwell, 1997). This suggestion will shortly be tested, in tide model runs which utilize global grids of statistical roughness produced by Goff and Arbic (2010). These grids utilize relationships between geophysical properties such as seafloor spreading rate and abyssal hill statistics to produce synthetic topographies.…”

Section: Adaptation Of Parameterized Wave Drag Used In Previous Studiesmentioning

confidence: 99%

Concurrent simulation of the eddying general circulation and tides in a global ocean model

2010

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a b s t r a c tThis paper presents a five-year global simulation of HYCOM, the HYbrid Coordinate Ocean Model, that simultaneously resolves the eddying general circulation, barotropic tides, and baroclinic tides with 32 layers in the vertical direction and 1/12.5°(equatorial) horizontal grid spacing. A parameterized topographic wave drag is inserted into the model and tuned so that the surface tidal elevations are of comparable accuracy to those in optimally tuned forward tide models used in previous studies. The model captures 93% of the open-ocean sea-surface height variance of the eight largest tidal constituents, as recorded by a standard set of 102 pelagic tide gauges spread around the World Ocean. In order to minimize the impact of the wave drag on non-tidal motions, the model utilizes a running 25-h average to approximately separate tidal and non-tidal components of the near-bottom flow. In contrast to earlier high-resolution global baroclinic tide simulations, which utilized tidal forcing only, the simulation presented here has a horizontally non-uniform stratification, supported by the wind-and buoyancy forcing. The horizontally varying stratification affects the baroclinic tides in high latitudes to first order. The magnitude of the internal tide perturbations to sea surface elevation amplitude and phase in a large box surrounding Hawai'i is quite similar to that observed in satellite altimeter data, although the exact locations of peaks and troughs in the modeled perturbations differ from those in the observed perturbations.

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Internal tide generation by abyssal hills using analytical theory

Melet

Nikurashin

Muller

et al. 2013

J. Geophys. Res. Oceans

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108

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[1] Internal tide driven mixing plays a key role in sustaining the deep ocean stratification and meridional overturning circulation. Internal tides can be generated by topographic horizontal scales ranging from hundreds of meters to tens of kilometers. State of the art topographic products barely resolve scales smaller than 10 km in the deep ocean. On these scales abyssal hills dominate ocean floor roughness. The impact of abyssal hill roughness on internal-tide generation is evaluated in this study. The conversion of M 2 barotropic to baroclinic tidal energy is calculated based on linear wave theory both in real and spectral space using the Shuttle Radar Topography Mission SRTM30_PLUS bathymetric product at 1/120 resolution with and without the addition of synthetic abyssal hill roughness. Internal tide generation by abyssal hills integrates to 0.1 TW globally or 0.03 TW when the energy flux is empirically corrected for supercritical slope (i.e., 10% of the energy flux due to larger topographic scales resolved in standard products in both cases). The abyssal hill driven energy conversion is dominated by mid-ocean ridges, where abyssal hill roughness is large. Focusing on two regions located over the Mid-Atlantic Ridge and the East Pacific Rise, it is shown that regionally linear theory predicts an increase of the energy flux due to abyssal hills of up to 100% or 60% when an empirical correction for supercritical slopes is attempted. Therefore, abyssal hills, unresolved in state of the art topographic products, can have a strong impact on internal tide generation, especially over mid-ocean ridges.

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Global prediction of abyssal hill roughness statistics for use in ocean models from digital maps of paleo-spreading rate, paleo-ridge orientation, and sediment thickness

Cited by 68 publications

References 31 publications

An Energy Compartment Model for Propagation, Nonlinear Interaction, and Dissipation of Internal Gravity Waves

An Energy Compartment Model for Propagation, Nonlinear Interaction, and Dissipation of Internal Gravity Waves

Concurrent simulation of the eddying general circulation and tides in a global ocean model

Internal tide generation by abyssal hills using analytical theory

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