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Numerical modeling of Maranhão Gulf tidal circulation and power density distribution

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Abstract

Marine resources are outstanding among renewable energy for their wide occurrence and diverse possibilities of exploitation. The tidal resource can be harnessed by the use of both potential (sea level) and kinetic energy (tidal currents). Maranhão coast presents one of the largest tidal ranges and strongest currents on Brazilian coastline, providing a good source of renewable energy. A 3D hydrodynamic model is implemented to numerically simulate the tidal circulation in the Maranhão Gulf so as to examine the tidal behavior and associated energy distribution. Amplitudes and current speeds are substantially increased by the estuary’s geomorphology and the shallow bathymetry. M2 tidal component presents the highest amplitudes among the tidal constituents, being the most energetic. Spring-neap cycle constitute an important factor in energy assessment due to their significant difference in power density and exchanged water volume between estuary and continental shelf. Maximum current velocities of 3 m s−1 are found around Medo Island, where tidal range can reach nearly 5.5 m. Three potential regions are located within the São Marcos Estuarine Complex, presenting surface velocities ranging from 1 to 2.15 m s−1 and power density as high as 5 kW m−2. The estuary is long and presents significant variations of tidal phase that allows a geographical disposition of turbines in order to lower the downtime.

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Notes

  1. The barotropic term along the estuary is \( \rho g\frac{\partial \eta }{\partial x} \) and the baroclinic term \( g{\int}_z^{\eta}\frac{\partial \rho }{\partial x} dz \) which scale as \( \frac{\eta_o}{H} \) and \( \frac{\varDelta \rho}{\rho_0} \), respectively.

  2. https://www.ngdc.noaa.gov/mgg/geodas/geodas.html

  3. In practice only a fraction of Pd can be actually converted to mechanical work (Khaligh and Onar 2009).

  4. 1 Sverdrup = 1 Sv = 106 m3 s−1

  5. Bay area can be simplified to: \( A=\frac{BL}{2} \), where B = 115 km and L = 173 km.

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Acknowledgments

AC wishes to thank the Coordenação de Aperfeiçoamento de Pessoal de Ní­vel Superior (CAPES) for the scholarship. FMP acknowledges CNPq for the support (311930/2016-6, 465672/2014-0). This paper is a contribution to the INEOF (National Institute of Science and Technology in River and Oceanic Energy) funded by CAPES, CNPq (465672/2014-0), and FAPEMA (05547/17). The authors also wish to thank Professor Audalio Rebelo Torres Jr. for kindly providing the bathymetric data used in this study.

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Correspondence to Anthea Czizeweski.

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Responsible Editor: Birgit Andrea Klein

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Czizeweski, A., Pimenta, F.M. & Saavedra, O.R. Numerical modeling of Maranhão Gulf tidal circulation and power density distribution. Ocean Dynamics 70, 667–682 (2020). https://doi.org/10.1007/s10236-020-01354-8

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  • DOI: https://doi.org/10.1007/s10236-020-01354-8

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