Skip to main content
Log in

Numerical simulations of morphological changes in barrier islands induced by storm surges and waves using a supercritical flow model

  • Research Article
  • Published:
Frontiers of Structural and Civil Engineering Aims and scope Submit manuscript

Abstract

In this paper, an advanced explicit finite volume flow model in two-dimensions is presented for simulating supercritical coastal flows and morphological changes in a tidal/coastal inlet and barrier islands due to storm surges and waves. This flow model is coupled with existing wave-action model and sediment transport model. The resulting integrated coastal process model is capable of simulating flows induced by extreme conditions such as waves, surge tides, river flood flows, etc., and morphological changes induced by rapid coastal currents and waves. This developed supercritical flow model is based on the solution of the conservative form of the nonlinear shallow water equations with the effects of the Coriolis force, uneven bathymetry, wind stress, and wave radiation stresses. The forward Euler scheme is used for the unsteady term; and the convective term is discretized using the Godunov-type shockcapturing scheme along with the HLL Riemann solver on non-uniform rectilinear grids. The accuracy of the developed model is investigated by solving an experimental dam-break test case. Barrier island breaching, overflow and overwash due to severe storm attack are simulated and the predicted morphological changes associated to the events are analyzed to investigate the applicability of the model in a coast where all the physical forces are present.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Briaud J L, Chen H C, Govindasamy A V, Storesund R. Levee Erosion by Overtopping in New Orleans during the Katrina Hurricane. Journal of Geotechnical and Geoenvironmental Engineering, 2008, 134(5): 618–632

    Article  Google Scholar 

  2. Fritz H M, Blount C, Sokoloski R, Singleton J, Fuggle A, McAdoo B G, Moore A, Grass C, Tate B. Hurricane katrina storm surge reconnaissance. Journal of Geotechnical and Geoenvironmental Engineering, 2008, 134(5): 644–656

    Article  Google Scholar 

  3. LACPR. Louisiana Coastal Protection and Restoration: Final Technical Report (LACPR). U S Army Corps of Engineers, New Orleans District, Mississippi Valley Division, 2009 (http://lacpr.usace.army.mil/default.aspx?p=LACPR_Final_Technical_Report)

    Google Scholar 

  4. Mississippi Coastal Improvements Program (MsCIP). Hancock, Harrison, and Jackson Counties, Mississippi Comprehensive Plan and Integrated Programmatic Environmental Impact Statement, VOLUME 1-MAIN REPORT, US Army Corps of Engineers Mobile District, 2010 (http://www.sam.usace.army.mil/mscip/MsCIP_Comprehensive_Plan.htm)

  5. Steetzel H J. Cross-shore transport during storm surges. Dissertation Degreee for the Doctoral Degree. Delft: TU Delft, 1993

    Google Scholar 

  6. Overton M F, Fisher J S, Young M A. Laboratory investigation of dune erosion. Journal of Waterway, Port, Coastal, and Ocean Engineering, 1988, 114(3): 367–373

    Article  Google Scholar 

  7. Nishi R, Kraus N C. Mechanism and calculation of sand dune erosion by storms. In: Proceedings of the 25th Coastal Engineering Conference. ASCE, 1996, 3034–3047

    Google Scholar 

  8. Stockdon H F, Holman R A, Howd P A, Sallenger A H. Empirical parameterization of setup, swash, and runup. Coastal Engineering, 53, 573–588 University Delft. ISBN 90-9006345-5, CASPARIE publishers, Zwolle, 2006

    Article  Google Scholar 

  9. Schäuffer H A. Edge waves forced by short-wave groups. Journal of Fluid Mechanics, 1994, 259(-1): 125–148

    Article  MathSciNet  Google Scholar 

  10. Erikson L, Larson M, Hanson H. Prediction of swash motion and Run-up. 2005

    Google Scholar 

  11. Roelvink J A. Surf beat and its effect on cross-shore profiles. Dissertation for the Doctoral Degree. Delft: Delft University of Technology, 1993

    Google Scholar 

  12. van Dongeren A, Reniers A, Battjes J, Svendsen I. Numerical modeling of infragravity wave response during DELILAH. Journal of Geophysical Research: Oceans (1978–2012), 2003, 108(C9): 1–19

    Google Scholar 

  13. Reniers A J H M, Roelvink J A, Thornton E B. Morphodynamic modelling of an embayed beach under wave group forcing. Journal of Geophysical Research, 2004, 109(C1): C01030

    Article  Google Scholar 

  14. Roelvink, J A, van Kessel, T, Alfageme S, Canizares R. Modelling of barrier island response to storms. In: Proceedings Coastal Sediments’03. Clearwater, Florida (CD Rom). 2003

    Google Scholar 

  15. Militello A, Kraus N C. Numerical simulation of sediment pathways at an idealized inlet and ebb shoals. In: Proceeding of Coastal Sediments 03. CD-ROM published by World Scientific Publishing (ISBN 981-238-422-7), 2003

    Google Scholar 

  16. Ding Y, Wang S S Y. Development of a numerical model for simulating morphodynamic processes driven by tides and waves at coastal inlets. In: Proceeding of the Tenth International Conference on Estuarine and Coastal Modeling Congress 2007. Malcolm L. Spaulding, Editors Newport, Rhode Island, USA, November 5–7, 2007, 862–878

  17. Lesser G R, Roelvink J A, van Kester J A T M, Stelling G S. Development and validation of a three-dimensional morphological model. Coastal Engineering, 2004, 51(8-9): 883–915

    Article  Google Scholar 

  18. Buttolph A M, Reed C W, Kraus N C, Ono N, Larson M, Camenen B, Hanson H, Wamsley T, Zundel A K. Two-dimensional depthaveraged circulation model CMS-M2D: Verson 3.0, Report 2, sediment transport and morphology change. Technical Report ERDC/CHL-TR-06-7.U S. Army Engineer Research and Development Center, Vicksburg, M S, USA, 2006

    Google Scholar 

  19. Ding Y, Wang, S S Y. Development and application of coastal and estuarine morphological process modeling system. Journal of Coastal Research, 2008, 52: 127–140

    Article  Google Scholar 

  20. Kuiry S N, Ding Y, Wang S S Y. Modeling coastal barrier breaching flows with well-balanced shock-capturing technique. Computers & Fluids, 2010, 39(10): 2051–2068

    Article  MATH  MathSciNet  Google Scholar 

  21. Lin L, Demirbilek Z, Mase H, Zheng J H, Yamada F. CMS-wave: A nearshore spectral wave processes model for coastal inlets and navigation projects. Coastal Inlets Research Program, Coastal and Hydraulics Laboratory Technical Report ERDC/CHL-TR-08-13. US Army Engineer Research and Development Center, Vicksburg, MS, USA, 2008

    Google Scholar 

  22. Zundel A K. Surface-water Modeling System reference manual. Brigham Young University, Environmental Modeling Research Laboratory, Provo, UT, 2000

    Google Scholar 

  23. Harten A, Lax P D, Van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review, 25(1), 35–61 Including the effects of swash interaction. Coastal Engineering 52, 285–302 infragravity wave response during DELILAH. Journal of Geophysical Research, 1983, 108(C9): 3288

    Google Scholar 

  24. Camenen B, Larson M. A bed load sediment transport formula for the nearshore. Estuarine, Coastal and Shelf Science, 2005, 63(1–2): 249–260

    Article  Google Scholar 

  25. Ding Y, Wang S S Y. Implementation of an efficient and accurate implicit solution scheme for the IMS-M2D hydrodynamic model. National Center for Computational Hydroscience and Engineering, University of Mississippi, Interim Contract Report for U S. Army Engineer research and Development Center, Coastal and Hydraulics Laboratory, February, 2006

    Google Scholar 

  26. Leonard B P. A stable and accurate convective modelling procedure based on quadratic upstreaminterpolation. Computer Methods in Applied Mechanics and Engineering, 1979, 19(1): 59–98

    Article  MATH  Google Scholar 

  27. Mase H. Multidirectional random wave transformation model based on energy balance equation. Coastal Engineering, 2001, 43(04): 317–337

    Article  Google Scholar 

  28. Mase H, Amamori H, Takayama T. Wave prediction model in wavecurrent coexisting field. In: Proceedings 12th Canadian Coastal Conference (CD-ROM). 2005

    Google Scholar 

  29. Brufau P, García-Navarro P A, Vázquez-Cendón M E. Zero mass errorusing unsteady wetting-drying conditions in shallow flows over dry irregular topography. International Journal for Numerical Methods in Fluids, 2004, 45(10): 1047–1082

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yan Ding.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuiry, S.N., Ding, Y. & Wang, S.S.Y. Numerical simulations of morphological changes in barrier islands induced by storm surges and waves using a supercritical flow model. Front. Struct. Civ. Eng. 8, 57–68 (2014). https://doi.org/10.1007/s11709-014-0235-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11709-014-0235-0

Keywords

Navigation