Numerical Simulation of Tidal Currents in Persian Gulf
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.
[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.
[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.
@article{"International Journal of Earth, Energy and Environmental Sciences:61697", author = "Ameleh Aghajanloo and Moharam Dolatshahi Pirouz and Masoud Montazeri Namin", title = "Numerical Simulation of Tidal Currents in Persian Gulf", 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", volume = "5", number = "10", pages = "621-8", }
