Storm surge simulation along the Meghna estuarine area: an alternative approach

PAUL Gour Chandra; SENTHILKUMAR Sukumar; PRIA Rana

doi:10.1007/s13131-018-1157-9

Volume 37 Issue 1

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PAUL Gour Chandra, SENTHILKUMAR Sukumar, PRIA Rana. Storm surge simulation along the Meghna estuarine area: an alternative approach[J]. Acta Oceanologica Sinica, 2018, 37(1): 40-49. doi: 10.1007/s13131-018-1157-9

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Storm surge simulation along the Meghna estuarine area: an alternative approach

doi: 10.1007/s13131-018-1157-9

1.
Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh
2.
School of Mathematical Sciences, Universiti Sains Malaysia, Pulau Pinang-11800, Malaysia
3.
Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

Received Date: 2016-11-05

Abstract

Abstract

In this study, numerical prediction of surges associated with a storm was made through the method of lines (MOL) in coordination with the newly proposed RKARMS (4, 4) method for the meghna estuarine region, along the coast of Bangladesh. For this purpose, the vertically integrated shallow water equations (SWEs) in Cartesian coordinates were firstly transformed into ordinary differential equations (ODEs) of initial valued, which were then soloved using the new RKARMS (4, 4) method. Nested grid technique was employed for resolving the complexities of the region of interest with minimum cost. Fresh water discharge through the lower Meghna River was taken into account along the north east corner of the innermost child scheme. Numerical experiments were performed with the severe cyclone on April 1991 that crossed the coast over the study area. Simulated results by the study were found to be in good agreement with some reported data and were found to compare well with the results obtained by the MOL in addition with the classical 4th order Runge-Kutta (RK (4, 4)) method and the standard finite difference method (FDM).
- method of lines,
- storm surge,
- nested grid,
- finite difference method,
- RKARMS (4, 4) method,
- truncation errors

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References

Das P K. 1972. Prediction model for storm surges in the Bay of Bengal. Nature, 239(5369): 211-213
Debsarma S K. 2009. Simulations of storm surges in the Bay of Bengal. Marine Geodesy, 32(2): 178-198
Dube S K, Chittibabu P, Sinha P C, et al. 2004. Numerical modelling of storm surge in the head Bay of Bengal using location specific model. Natural Hazards, 31(2): 437-453
Evans D J, Yaakub A R. 1995. A new Runge Kutta RK(4, 4) method. International Journal of Computer Mathematics, 58(3-4): 169-187
Fehlberg E. 1969. Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems. NASA TR R-315, Washington D C: NASA
Flather R A. 1994. A storm surge prediction model for the northern Bay of Bengal with application to the cyclone disaster in April 1991. Journal of Physical Oceanography, 24(1): 172-190
Ismail A I M, Karim F, Roy G D, et al. 2007. Numerical modelling of tsunami via the method of lines. World Academy of Science, Engineering and Technology, 32: 177-185
Jain S K, Agarwal P K, Singh V P. 2007. Hydrology and Water Resources of India. Netherlands: Springer, 308
Jelesnianski C P. 1965. A numerical calculation of storm tides induced by a tropical storm impinging on a continental shelf. Monthly Weather Review, 93(6): 343-358
Merson R H. 1957. An Operational Method for The Study of Integration Processes. In: Proceedings of a Symposium on Data Processing. Salisbury, South Australia: Weapons Research Establishment
Murshed M M, Paul G C, Haque M R. 2016. On the approximation of complex geometric domain to be compatible for the implementation of finite difference method. International Journal of Scientific & Engineering Research, 7(5): 495-501
Paul G C, Ismail A I M. 2012. Numerical modeling of storm surges with air bubble effects along the coast of Bangladesh. Ocean Engineering, 42: 188-194
Paul G C, Ismail A I M. 2013. Contribution of offshore islands in the prediction of water levels due to tide-surge interaction for the coastal region of Bangladesh. Natural Hazards, 65(1): 13-25
Paul G C, Ismail A I M, Karim M F. 2014. Implementation of method of lines to predict water levels due to a storm along the coastal region of Bangladesh. Journal of Oceanography, 70(3): 199-210
Paul G C, Ismail A I M, Rahman A, Karim M F, Hoque A. 2016. Development of tide-surge interaction model for the coastal region of Bangladesh. Estuaries and Coasts, 39(6): 1582-1599
Paul G C, Senthilkumar S. 2016. Execution of novel explicit RKARMS (4, 4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability. NRIAG Journal of Astronomy and Geophysics, 5(1): 1-8
Ponalagusamy R, Senthilkumar S. 2009. A new method of embedded fourth order with four stages to study raster CNN simulation. International Journal of Automation and Computing, 6(3): 285-294
Rahman M M, Paul G C, Hoque A. 2013. Nested numerical scheme in a polar coordinate shallow water model for the coast of Bangladesh. Journal of Coastal Conservation, 17(1): 37-47
Roy G D. 1995. Estimation of expected maximum possible water level along the Meghna estuary using a tide and surge interaction model. Environment International, 21(5): 671-677
Roy G D, Kabir A B M H, Mandal M M, et al. 1999. Polar coordinates shallow water storm surge model for the coast of Bangladesh. Dynamics of Atmospheres and Oceans, 29(2-4): 397-413
Sadiku M N O, Garcia R C. 2000. Method of lines solution of axisymmetric problems. In: Proceedings of the IEEE Southeastcon, Nashville, TN, USA: IEEE, 527-530
Senthilkumar S. 2009. New embedded Runge-Kutta fourth order four stage algorithms for raster and time-multiplexing cellular neural networks simulation[dissertation]. Tiruchirappalli, Tamilnadu, India: National Institute of Technology
Sun Weikai, Wang Yunyi, Zhu Weigang. 1993. Analysis of waveguide inserted by a metallic sheet of arbitrary shape with the method of lines. International Journal of Infrared and Millimeter Waves, 14(10): 2069-2084

Yaacob N, Sanugi B. 1998. A new fourth-order embedded method based on the harmonic mean. Matematika, 14: 1-6

Yaakub A R, Evans D J. 1999. A fourth order Runge-Kutta RK (4, 4) method with error control. International Journal of Computer Mathematics, 71(3): 383-411

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