Applying and Assessing the Performance of Projection Method in External Mode of Princeton Ocean Model by Simulating Tidal Currents in the Persian Gulf

Document Type : Original Research Article


Ocean Engineering and Technology Department, Iranian National Institute for Oceanography and Atmospheric Science,Tehran, Iran


This study focused on improving the Princeton Ocean Model (POM) by proposing and implementing a new algorithm for its external mode, which solves depth-averaged two-dimensional equations of continuity and momentum transport. The goal of the new algorithm was to reduce the numerical diffusion of the model and enable the use of larger time steps for calculations. To achieve this, the Projection method was used along with the implicit discontinuity of the gravity terms in the governing equations of the two-dimensional solution of the model. The new algorithm was then evaluated for its efficiency in simulating tidal currents in the Persian Gulf. The results of the modified model were compared with those of the original model, as well as tidal fluctuations measured at several tidal stations in the Persian Gulf. The comparison showed that the modified algorithm successfully reduced the calculation time while increasing the accuracy and reducing numerical diffusion in the results.


Main Subjects

  1. Blumberg, A. F. and G. L. Mellor,1987, A description of a three-dimensional coastal ocean circulation model. Three-Dimensional Coastal Ocean Models, edited by N. Heaps, 208 pp., American Geophysical Union.
  2. Mosaddad, S. M., Thermocline Formation in the Persian Gulf. International Journal of Environmental Science, 5, 253-258, 2020.
  3. Namin M. M. Bidokhti A. A. Khaniki A. K. Zadeh I. H. and Azad M. T. A Study of the Performances of Different Turbulence Schemes in Numerical Simulation of Hydrodynamics of a Semi-Closed Sea (Persian Gulf) Marine Geodesy 1-24 2016.
  4. Clifford M. C. Horton J. Schmitz and L. H. Kantha an oceanographic nowcast/forecast system for the Red Sea J. Geophys. Res. 102(C11) 25 101-25 122 1997.
  5. Aiki H. K. Takahashi and T. Yamagata the Red Sea outflow regulated by the Indian monsoon Cont. Shelf Res. 26(12-13) 1448-1468 2006.
  6. Yeqiang Shu, Jinghong Wang, Huijie Xue, Rui Xin Huang, Ju Chen, Dongxiao Wang, Qiang Wang, Qiang Xie, and Weiqiang Wang, Deep-Current Intraseasonal Variability Interpreted as Topographic Rossby Waves and Deep Eddies in the Xisha Islands of the South China Sea, JPO,, 2022.
  7. Liu, X. et al., A review of tidal current energy resource assessment in China, Renewable and Sustainable Energy Reviews, 145,, 2021.
  8. Horton C. M. Clifford J. Schmitz and L. H. Kantha A real-time oceanographic nowcast/forecast system for the Mediterranean Sea J. Geophys. Res. 102(C11) 25 123-25 156 1997.
  9. Allen J. I. P. J. Somerfield and J. Siddorn Primary and bacterial production in the Mediterranean Sea: a modeling study J. Mar. Sys. 33-34 473-495 2002.
  10. Oey L.-Y. T. Ezer and H.-C. Lee Loop Current rings and related circulation in the Gulf of Mexico: A review of numerical models and future challenges in: Circulation in the Gulf of Mexico: Observations and Models W. Sturges and A. Lugo-Fernandez (Eds.), Geophys. Monograph Ser., Vol. 161 pp. 31-56 AGU Washington DC 2005.
  11. Ly L.N. The Gulf of Mexico Response to Hurricane Frederic Simulated with the Princeton Numerical Ocean Circulation Model Technical Report Institute for Naval Oceanography 42 pp. 1992.
  12. Mellor, G. L., 1996, User's guide for a three-dimensional, primitive equation, numerical ocean model. Unpublished report, Atmospheric and Ocean Sciences Program, pp. 35, Princeton University, Princeton, NJ.
  13. Mellor, G. L., T. Ezer, and L.-Y. Oey, 1994, The pressure gradient conundrum of sigma coordinate models, J. Atmos. Ocean. Tech., 11, 1126-1134.
  14. Simons, T. J., 1974, Verification of numerical models of Lake Ontario. Part I. Circulation in spring and early summer. J. Phys. Oceanogr.,4, 507–523.
  15. Madala, R. V., and S. A. Piacsek, 1977, A semi-implicit numerical model for baroclinic oceans. J. Comput. Phys., 23, 167–178.
  16. Chorin, A.J.,1968, Numerical solution of the Navier–Stokes equations, Math. Comput. 22,745–762.