Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33030
Numerical Simulation of Tidal Currents in Persian Gulf
Authors: Ameleh Aghajanloo, Moharam Dolatshahi Pirouz, Masoud Montazeri Namin
Abstract:
In this paper, a two-dimensional (2D) numerical model for the tidal currents simulation in Persian Gulf is presented. The model is based on the depth averaged equations of shallow water which consider hydrostatic pressure distribution. The continuity equation and two momentum equations including the effects of bed friction, the Coriolis effects and wind stress have been solved. To integrate the 2D equations, the Alternative Direction Implicit (ADI) technique has been used. The base of equations discritization was finite volume method applied on rectangular mesh. To evaluate the model validation, a dam break case study including analytical solution is selected and the comparison is done. After that, the capability of the model in simulation of tidal current in a real field is represented by modeling the current behavior in Persian Gulf. The tidal fluctuations in Hormuz Strait have caused the tidal currents in the area of study. Therefore, the water surface oscillations data at Hengam Island on Hormoz Strait are used as the model input data. The check point of the model is measured water surface elevations at Assaluye port. The comparison between the results and the acceptable agreement of them showed the model ability for modeling marine hydrodynamic.Keywords: Persian Gulf, Tidal Currents, Shallow Water Equations, Finite Volumes
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079640
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2050References:
[1] R. Garcia, and R. Kahawitha, Numerical solution of the St. Venant equations with the Mac Cormack finite difference scheme, Int. J. Numer. Method. Fluid., vol. 6, pp 507-527, 1986.
[2] R. J. Fennema, and M. H. Chaudhry, "Explicit methods for 2D transient free-surface flows," J. of Hydraul. Eng., vol. 116, pp 1013-1034, 1990.
[3] C. Bellos, J. Soulis, and J. Sakkas, "Computation of two dimensional dam break induced flow," Advances in Water Res., vol. 14, pp. 31-41, 1991.
[4] A. Akanbi, and N. Katopodes, "Model for flood propagation on initially dry land, Journal of Hydraulic Engineering," vol. 114, pp. 689-706, 1988.
[5] D. H. Zhao, H. W. Shen, G. Q. Tabios, J. S. Lai, and W. Y. Tan, "Finite-volume two dimensional unsteady-flow model for river basins," J. Hydraul. Eng., vol. 120, pp. 863-883, 1994.
[6] A. Valiani, V. Caleffi, and A. Zanni, "Case Study: Malpasset dam-break simulation using a two-dimensional finite volume method," J. Hydraul. Eng., ASCE, vol. 128, no. 5, pp. 460-472, 2002.
[7] C. Hirsch, Numerical computation of internal and external flows, Wiley J. and Sons, 1990.
[8] X. D. Yang, H. Y. Ma, and Y. N. Huang, "Prediction of homogeneous shear flow and a backward-facing step flow with some linear and nonlinear K-g turbulence models, Communications in Nonlinear Science and numerical Simulation, vol. 10, pp. 315-328, 2005.
[9] D. Peaceman, and M. Rachford, "The numerical solution of parabolic and elliptic differential equations," J. SIAM, vol. 3, pp. 28-41, 1955.
[10] J. Douglas, and H. Rachford, "On the numerical solution of the heat conduction problem in two and three space variables," Trans. Amer. Math. pp. 421-439, 1956.
[11] J. Douglass, and J. Gunn, "A general formulation of alternating direction methods," Numer. Math., vol. 6, pp. 428, 1964.
[12] M. B. Abbott, and A. W. Minns, Computational Hydraulics. Ashgate Publishing Ltd, Aldershot, UK, 1997.
[13] R. D. Richtmyer, and K. W. Morton, Difference methods for initialvalue problems, second edition. Wiley-Interscience, 1967.
[14] W. Rodi, "Turbulent Simulation in Hydraulics and Large Eddy Simulation," Advances Seminar on Education of Water Science, Sichuan University, pp. 16-21 Sep. 2001.
[15] J. Smagorinsky, "Problems and promises of deterministic extended range forecasting," Bull. Amer. Meteorol. Soc., vol. 50, No. 5, pp. 286- 311, 1969.
[16] S. Murakami, "Comparison of various turbulence models applied to a bluff body," J. Wind Eng. Ind. Aerodyn., vol. 46&47, pp. 21-36, 1993.
[17] M. M. Namin, "A Fully Three-Dimensional Non-Hydrostatic Free Surface Flow Model for Hydro-Environmental Predictions", Phd Thesis, Cardiff University, 2004.
[18] J. E. Fromm, "A method of reducing dispersion in convective difference scheme," J. Comput. Phys., vol. 3, pp. 176-84, 1968.
[19] L. C. Walstra, L. C. Van Rijn, H. Blogg, and M. Van Ormondt, "Evaluation of a Hydrodynamic Area Model Based on the COAST3D Data at Teignmouth 1999," Report TR121-EC MAST Project No. MAS3-CT97-0086, HR Wallinford, UK, D4.1-D4.4, 2001.
[20] J. Sutherland, D.J.R. Walstra and H. Southgate, "Evaluation of coastal area modeling systems at an estuary mouth," Coastal Eng., vol. 51, no. 2, pp. 119-142, April 2004.
[21] J. Sutherland, A. H. Peet, and R. T. Soulsby, "Evaluation the performance of morphological models," Coast. Eng., vol. 51, pp. 917- 939, 2004.
[22] E. H. L. Fernandes, K. R. Dyer, and L. F. H. Niencheski, "TELEMAC- 2D calibration and validation to the hydrodynamics of the Patos Lagoon (Brazil)," J. Coast. Res., vol. 34, pp. 470-488, 2001.