The Mindanao and Halmahera Eddies—Twin Eddies Induced by Nonlinearities

Wilton Z. Arruda Department of Oceanography, The Florida State University, Tallahassee, Florida

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Doron Nof Department of Oceanography, The Florida State University, Tallahassee, Florida

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Abstract

It is shown analytically that a nonlinear collision of northward- and southward-flowing western boundary currents (WBC) on a β plane produces both an anticyclonic and a cyclonic eddy. (On an f plane no eddies are established; similarly, no eddies are established in the linear limit.) The length scales of both the anticyclonic and cyclonic eddies are larger than most eddies in the ocean. Furthermore, the anticyclone scale is larger than the cyclone length scale because of the higher upstream momentum flux. A reduced-gravity numerical model is used to validate these analytical results. The balance of forces and the eddy size estimates (derived from the numerical simulations) agree with the analytical results. Based on the above collision problem, it is argued that the Halmahera and Mindanao eddies are required to balance the nonlinear momentum fluxes of their colliding parent currents, the southward-flowing Mindanao Current (MC) and the northward-flowing South Equatorial Current (SEC). Assuming that the interior is in Sverdrup balance, it is further argued that neither of the eddies would have been present had the Indonesian Throughflow not been active.

Permanent affiliation: Departamento de Métodos Matemáticos, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

Additional affiliation: Geophysical Fluid Dynamics Institute, The Florida State University, Tallahassee, Florida

Corresponding author address: Prof. Doron Nof, Department of Oceanography 4320, The Florida State University, Tallahassee, FL 32306-4320. Email: nof@ocean.fsu.edu

Abstract

It is shown analytically that a nonlinear collision of northward- and southward-flowing western boundary currents (WBC) on a β plane produces both an anticyclonic and a cyclonic eddy. (On an f plane no eddies are established; similarly, no eddies are established in the linear limit.) The length scales of both the anticyclonic and cyclonic eddies are larger than most eddies in the ocean. Furthermore, the anticyclone scale is larger than the cyclone length scale because of the higher upstream momentum flux. A reduced-gravity numerical model is used to validate these analytical results. The balance of forces and the eddy size estimates (derived from the numerical simulations) agree with the analytical results. Based on the above collision problem, it is argued that the Halmahera and Mindanao eddies are required to balance the nonlinear momentum fluxes of their colliding parent currents, the southward-flowing Mindanao Current (MC) and the northward-flowing South Equatorial Current (SEC). Assuming that the interior is in Sverdrup balance, it is further argued that neither of the eddies would have been present had the Indonesian Throughflow not been active.

Permanent affiliation: Departamento de Métodos Matemáticos, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

Additional affiliation: Geophysical Fluid Dynamics Institute, The Florida State University, Tallahassee, Florida

Corresponding author address: Prof. Doron Nof, Department of Oceanography 4320, The Florida State University, Tallahassee, FL 32306-4320. Email: nof@ocean.fsu.edu

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  • Agra, C., and D. Nof, 1993: Collision and separation of boundary currents. Deep-Sea Res., 40A , 22592282.

  • Anderson, D. L. T., and D. W. Moore, 1979: Cross-equatorial inertial jets with special relevance to very remote forcing of the Somali Current. Deep-Sea Res., 26 , 122.

    • Search Google Scholar
    • Export Citation
  • Arakawa, A., 1966: Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow, Part I. J. Comput. Phys., 1 , 119143.

    • Search Google Scholar
    • Export Citation
  • Arruda, W., 2002: Eddies along western boundaries. Ph.D. dissertation, The Florida State University, 90 pp.

  • Bleck, R., and D. Boudra, 1981: Initial testing of a numerical ocean circulation model using a hybrid, quasi-isopycnic vertical coordinate. J. Phys. Oceanogr., 11 , 744770.

    • Search Google Scholar
    • Export Citation
  • Bleck, R., and D. Boudra, 1986: Wind-driven spin-up in eddy-resolving ocean models formulated in isopycnic and isobaric coordinates. J. Geophys. Res., 91 , 76117621.

    • Search Google Scholar
    • Export Citation
  • Bleck, R., and L. T. Smith, 1990: A wind-driven isopycnic coordinate model of the North and equatorial Atlantic Ocean, 1, Model development and supporting experiments. J. Geophys. Res., 95 , 32733285.

    • Search Google Scholar
    • Export Citation
  • Cannon, G. A., 1970: Characteristics of waters east of Mindanao, Philippine Islands, August, 1965. The Kuroshio, A Symposium on the Japan Current, J. C. Marr, Ed., East-West Center, 205–211.

    • Search Google Scholar
    • Export Citation
  • Cantos-Figuerola, A., and B. A. Taft, 1983: The South Equatorial Current during 1979–80 Hawaii–Tahiti Shuttle. Trop. Ocean. Atmos. Newsl., 19 , 68.

    • Search Google Scholar
    • Export Citation
  • Cessi, P., 1990: Recirculation and separation of boundary currents. J. Mar. Res., 48 , 135.

  • Cessi, P., 1991: Laminar separation of colliding western boundary currents. J. Mar. Res., 49 , 697717.

  • Church, J. A., and F. M. Boland, 1983: A permanent undercurrent adjacent to the Great Barrier Reef. J. Phys. Oceanogr., 13 , 17471749.

    • Search Google Scholar
    • Export Citation
  • Csanady, G. T., 1979: The birth and death of a warm-core ring. J. Geophys. Res., 84 , 777780.

  • Ffield, A., and A. L. Gordon, 1992: Vertical mixing in the Indonesian thermocline. J. Phys. Oceanogr., 22 , 184195.

  • Gordon, A. L., 1986: Inter-ocean exchange of thermocline water. J. Geophys. Res., 91 , 50375050.

  • Gouriou, Y., and J. Toole, 1993: Mean circulation of the upper layers of the Western Equatorial Pacific Ocean. J. Geophys. Res., 98 , 2249522520.

    • Search Google Scholar
    • Export Citation
  • Kashino, Y., H. Watanabe, B. Herunadi, M. Aoyama, and D. Hartoyo, 1999: Current variability at the Pacific entrance of the Indonesian Throughflow. J. Geophys. Res., 104 , 1102111035.

    • Search Google Scholar
    • Export Citation
  • Kashino, Y., E. Firing, P. Hacker, and A. S. Lukiyanto, 2001: Currents in the Celebes and Makulu Seas. Geophys. Res. Lett., 28 , 12631266.

    • Search Google Scholar
    • Export Citation
  • Kendall, T. R., 1969: Net transport in the western equatorial Pacific Ocean. J. Geophys. Res., 74 , 13881396.

  • Kessler, W. S., and B. A. Taft, 1987: Dynamic heights and zonal geostrophic transports in the central Pacific during 1979–1984. J. Phys. Oceanogr., 7 , 97122.

    • Search Google Scholar
    • Export Citation
  • Kundu, P. K., 1990: Fluid Mechanics. Academic Press, 638 pp.

  • Lebedev, I., and D. Nof, 1996: The drifting confluence zone. J. Phys. Oceanogr., 26 , 24292448.

  • Lebedev, I., and D. Nof, 1997: Collision of boundary currents: Beyond a steady state. Deep-Sea Res., 44 , 771791.

  • Lukas, R., E. Firing, P. Hacker, P. L. Richardson, C. A. Collins, R. Fine, and R. Gammon, 1991: Observations of the Mindanao Current during the Western Equatorial Pacific Ocean circulation study. J. Geophys. Res., 96 , 70897104.

    • Search Google Scholar
    • Export Citation
  • Masuzawa, J., 1968: Second cruise for CSK, Ryofu Maru, January to March 1968. Oceanogr. Mag., 20 , 173185.

  • Masuzawa, J., 1969: The Mindanao Current. Bull. Japan Soc. Fish. Oceanogr., 99104.

  • Morey, S. L., J. F. Shriver, and J. J. O'Brien, 1999: The effects of Halmahera on the Indonesian throughflow. J. Geophys. Res., 104 (C10) 2328123296.

    • Search Google Scholar
    • Export Citation
  • Nof, D., 1996: What controls the origin of the Indonesian throughflow? J. Geophys. Res., 101 , 1230112314.

  • Nof, D., 1998: The “separation formula” and its application to the Pacific Ocean. Deep-Sea Res., 45A , 20112033.

  • Nof, D., and T. Pichevin, 1999: The establishment of the Tsugaru and the Alboran gyres. J. Phys. Oceanogr., 29 , 3954.

  • Orlanski, I., 1976: A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys., 21 , 251269.

  • Qu, T., H. Mitsudera, and T. Yamagata, 1999: A climatology of the circulation and water mass distribution near the Philippine coast. J. Phys. Oceanogr., 29 , 14881505.

    • Search Google Scholar
    • Export Citation
  • Takahashi, T., 1959: Hydrographical researches in the western equatorial Pacific. Mem. Fac. Fish. Kagoshima Univ., 7 , 141147.

  • Toole, J. M., E. Zou, and R. C. Millard, 1988: On the circulation of the upper waters in the western equatorial Pacific Ocean. Deep-Sea Res., 35 , 14511482.

    • Search Google Scholar
    • Export Citation
  • Toole, J. M., R. C. Millard, Z. Wang, and S. Pu, 1990: Observations of the Pacific North Equatorial Current bifurcation at the Philippine coast. J. Phys. Oceanogr., 20 , 307318.

    • Search Google Scholar
    • Export Citation
  • Waworuntu, J., 1999: Water mass transformations and throughflow variability on the Indonesian seas. Ph.D. dissertation, University of Miami, Miami, Florida, 98 pp.

    • Search Google Scholar
    • Export Citation
  • Wyrtki, K., 1956: The subtropical lower water between the Philippines and Iran (New Guinea). Mar. Res. Indonesia, 1 , 2152.

  • Wyrtki, K., 1961: Physical oceanography of the Southeast Asian waters. NAGA Rep. 2, 195 pp.

  • Wyrtki, K., and B. Kilonsky, 1984: Mean water and current structure during Hawaii-to-Tahiti Shuttle Experiment. J. Phys. Oceanogr., 14 , 242254.

    • Search Google Scholar
    • Export Citation
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