Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30184
Mathematical Modeling of Storm Surge in Three Dimensional Primitive Equations

Authors: Worachat Wannawong, Usa W. HumphriesPrungchan Wongwises, Suphat Vongvisessomjai

Abstract:

The mathematical modeling of storm surge in sea and coastal regions such as the South China Sea (SCS) and the Gulf of Thailand (GoT) are important to study the typhoon characteristics. The storm surge causes an inundation at a lateral boundary exhibiting in the coastal zones particularly in the GoT and some part of the SCS. The model simulations in the three dimensional primitive equations with a high resolution model are important to protect local properties and human life from the typhoon surges. In the present study, the mathematical modeling is used to simulate the typhoon–induced surges in three case studies of Typhoon Linda 1997. The results of model simulations at the tide gauge stations can describe the characteristics of storm surges at the coastal zones.

Keywords: lateral boundary, mathematical modeling, numericalsimulations, three dimensional primitive equations, storm surge.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062708

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2794

References:


[1] A. F. Blumberg and G. L. Mellor, A description of a three-dimensional coastal ocean circulation model, In N. S. Heaps, editor, Three- Dimensional Coastal Ocean Models, Coastal and Estuarine Sciences, American Geophysical Union, Washington, DC, 4(1987), 1-16.
[2] G. L. Mellor, An equation of state for numerical models of oceans and estuaries, Journal of Atmospheric and Oceanic Technology, 8(1991), 609-611.
[3] K. F. Bowden, Physical oceanography of coastal waters, Ellis Horwood, Southampton, UK., (1983), 302.
[4] M. D. Powell, P. J. Vivkery and T. A. Reinhold, Reduced drag coefficient for high wind speeds in tropical cyclones, Nature, 422(2003), 278-283.
[5] M. O. Edwards, Global Gridded Elevation and Bathymetry on 5-Minute Geographic Grid (ETOPO5), NOAA, National Geophysical Data Center, Boulder, Colorado, U.S.A., 1989.
[6] P. Harr, R. Ellsberry, T. Hogan and W. Clune, North Pacific cyclone sea- level pressure errors with NOGAPS, Weather and Forecasting, 7(1992), 3.
[7] S. Levitus, R. Burgett and T. Boyer, World Ocean Atlas: Salinity, NOAA Atlas NESDIS 3, U. S. Government Printing Office, Washington D.C., U.S.A., 3(1994b), 99.
[8] S. Levitus and T. Boyer, World Ocean Atlas: Temperature, NOAA Atlas NESDIS 4, U. S. Government Printing Office, Washington D.C., U.S.A., 4(1994a), 117.
[9] S. Vongvisessomjai, P. Chatanantavet and P. Srivihok, Interaction of tide and salinity barrier: Limitation of numerical model, Songklanakarin Journal of Science and Technology, 30(2008), 531-538.
[10] T. D. Pugh, Tides, Surges and Mean Sea-Level, John Wiley & Sons, London, UK., (1987), 472.
[11] T. Ezer, H. Arango and A. F. Shchepetkin, Developments in terrain- following ocean models: intercomparison of numerical aspects, Ocean Modelling, 4(2002), 249-267.
[12] T. F. Hogan and T. E. Rosmond, The description of the Navy Operational Global Atmospheric System-s spectral forecast model, Monthly Weather Review, 119(1991), 1786-1815.
[13] W. G. Large and S. Pond, Open ocean momentum fluxes in moderate to strong winds, Journal of Physical Oceanography, 11(1981), 324-336.
[14] W. Wannawong, U. W. Humphries and A. Luadsong, The application of curvilinear coordinate for primitive equation in the Gulf of Thailand, Thai Journal of Mathematics, 6(2008), 89-108.
[15] W. Wannawong, U. W. Humphries, P. Wongwises, S. Vongvisessomjai and W. Lueangaram, A numerical study of two coordinates for energy balance equations by wave model, Thai Journal of Mathematics, 8(2010), 197-214.
[16] W. Wannawong, U. W. Humphries, P. Wongwises, S. Vongvisessomjai and W. Lueangaram, Numerical modeling and computation of storm surge for primitive equation by hydrodynamic model, Thai Journal of Mathematics, 8(2010), 347-363.
[17] W. Wannawong, U. W. Humphries, P. Wongwises, S. Vongvisessomjai and W. Lueangaram, Numerical analysis of wave and hydrodynamic models for energy balance and primitive equations, International Journal of Mathematical and Statistical Sciences, 4(2010), 140-150.
[18] W. Wannawong, U. W. Humphries, P. Wongwises and S. Vongvisessomjai, Three steps of one-way nested grid for energy balance equations by wave model, International Journal of Computational and Mathematical Sciences, 1(2011), 23-30.