Journal of Advanced Research in Ocean Engineering

Korean Society of Ocean Engineers (한국해양공학회)
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SPH Modeling of Hydraulics and Erosion of HPTRM Levee

  • Li, Lin (Department of Civil and Environmental Engineering, Jackson State University) ;
  • Rao, Xin (Laboratory for Fishing Technology and Fishery Engineering, East China Sea Fishery Research Institute, Chinese Academy of Fishery Sciences) ;
  • Amini, Farshad (Department of Civil and Environmental Engineering, Jackson State University) ;
  • Tang, Hongwu (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University)
  • Received : 2014.12.05
  • Accepted : 2015.02.02
  • Published : 2015.03.31
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Abstract

Post-Katrina investigations revealed that most earthen levee damage occurred on the levee crest and landward-side slope as a result of either wave overtopping, storm surge overflow, or a combination of both. In this paper, combined wave overtopping and storm surge overflow of a levee embankment strengthened with high performance turf reinforcement mat (HPTRM) system was studied in a purely Lagrangian and meshless approach, two-dimensional smoothed particle hydrodynamics (SPH) model. After the SPH model is calibrated with full-scale overtopping test results, the overtopping discharge, flow thickness, flow velocity, average overtopping velocity, shear stress, and soil erosion rate are calculated. New equations are developed for average overtopping discharge. The shear stresses on landward-side slope are calculated and the characteristics of soil loss are given. Equations are also provided to estimate soil loss rate. The range of the application of these equations is discussed.

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References

  1. A. Colagrossi and M. Landrini, Numerical Simulation of Interfacial Flows by Smoothed Particle Hydrodynamics. Journal of Computational Physics 191 (2003) 448-475. https://doi.org/10.1016/S0021-9991(03)00324-3
  2. A. Shakibaeinia, and Y. Jin, A Mesh-Free Particle Model for Simulation of Mobile-Bed Dam Break. Advances in Water Resources 34 (2011) 794-807. https://doi.org/10.1016/j.advwatres.2011.04.011
  3. ASCE Hurricane Katrina External Review Panel, The New Orleans Hurricane Protection System: What Went Wrong and Why? American Society of Civil Engineers, Reston, Virginia. (2007) 92 pp.
  4. D. E. Reeve, A. Soliman,and P. Z. Lin, Numerical Study of Combined Overflow and Wave Overtopping over a Smooth Impermeable Seawall. Coastal Engineering 55 (2008) 155-166. https://doi.org/10.1016/j.coastaleng.2007.09.008
  5. G. K. Batchelor, An Introduction to Fluid Mechanics. Cambridge University Press (1974).
  6. G. L. Sills, N. D. Vroman, R. E. Wahl, and N. T. Schwanz, Overview of New Orleans levee failures: Lessons learned and their impact on national levee design and assessment. Journal of Geotechnical and Geoenvironmental Engineering, 134 (2008) 556-565. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:5(556)
  7. G. Oger, M. Doring, B. Alessandrini, P. Ferrant, An Improved SPH Method: Towards Higher Order Convergence. Journal of Computational Physics 225 (2007) 1472-1492. https://doi.org/10.1016/j.jcp.2007.01.039
  8. Goda, A Comparative Review on the Functional Forms of Directional Wave Spectrum. Coastal Engineering Journal, 41 (1999) 1-20. https://doi.org/10.1142/S0578563499000024
  9. H. Schüttrumpf, J. Möller, H. Oumeraci, J. Grüne, and R. Weissmann, Effects of Natural Sea States on Wave Overtopping of Seadikes. Proceedings of the 4th International Symposium Waves 2001, Ocean Wave Measurement and Analysis 2 (2001) 1565-1574.
  10. J. Fang, A. Parriaux, M. Rentschler, and C. Ancey, A Improved SPH Methods for Simulating Free Surface Flows of Viscous Fluids. Applied Numerical Mathematics 59 (2009) 251-271. https://doi.org/10.1016/j.apnum.2008.02.003
  11. J. J. Monaghan, Smoothed Particle Hydrodynamics. Reports on Progress in Physics 68 (2005) 1703-1759. https://doi.org/10.1088/0034-4885/68/8/R01
  12. J. L. Briaud, H. C. Chen, A. V. Govindasamy, and R. Storesund, Levee Erosion by Overtopping in New Orleans during the Katrina Hurricane. Journal of Geotechnical and Geoenvironmental Engineering, 134 (2008) 618-632. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:5(618)
  13. J. Ubilla, T. Abdoun, I. Sasanakul, M. Sharp, S. Steedman, W. Vanadit-Ellis, and T. Zimmie, New Orleans Levee System Performance during Hurricane Katrina: London Avenue and Orleans Canal South. Journal of Geotechnical and Geoenvironmental Engineering, 134 (2008) 668-680. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:5(668)
  14. J.J. Monaghan, Simulating Free Surface Flows with SPH. Journal of Computational Physics, 110 (1994) 399-406. https://doi.org/10.1006/jcph.1994.1034
  15. L. Li, F. Amini, Y. Pan, C. P. Kuang, and J. Briaud, Erosion Resistance of HPTRM Strengthened Levee from Combined Wave and Surge Overtopping, Journal of Geotechnical and Geological Engineering, DOI 10.1007/s10706-014-9762-7 (2014).
  16. M. B. Liu, G. R. Liu, and K. Y. Lam, Investigations into Water Mitigations using a Meshless Particle Method, Shock Waves, 12 (2002) 181-195. https://doi.org/10.1007/s00193-002-0163-0
  17. M. Gomez-Gesteira, D. Cerqueiro, C. Crespo, R. A. Dalrymple, Green Water Overtopping Analyzed with a SPH Model. Ocean Engineering 32 (2005) 223-238. https://doi.org/10.1016/j.oceaneng.2004.08.003
  18. P. Liu, P.Z. Lin, K.A. Chang, and T. Sakakiyama, Numerical Modeling of Wave Interaction with Porous Structures. Journal of Waterway, Port, Coastal, and Ocean Engineering, 125 (1999) 322-330. https://doi.org/10.1061/(ASCE)0733-950X(1999)125:6(322)
  19. R. A. Dalrymple, and B.D. Rogers, Numerical Modeling of Water Waves with the SPH method. Coastal Engineering, 53 (2006) 141-147. https://doi.org/10.1016/j.coastaleng.2005.10.004
  20. R. Ata, and A. Soulaimani, A Stabilized SPH Method for Inviscid Shallow Water Flows. International Journal for Numerical Methods in Fluids, 47 (2005) 139-159. https://doi.org/10.1002/fld.801
  21. S. Shao, C. Ji, D. I. Graham, D. E. Reeve, P. W. James, and A. J. Chadwick, Simulation of Wave Overtopping by an Incompressible SPH Model. Coastal Engineering, 53 (2006) 723-735. https://doi.org/10.1016/j.coastaleng.2006.02.005
  22. S.A. Hughes and N.C. Nadal, Laboratory Study of Combined Wave Overtopping and Storm Surge Overflow of a Levee. Coastal Engineering, 56 (2009) 244-259. https://doi.org/10.1016/j.coastaleng.2008.09.005
  23. T. Li, P. Troch, and J. De Rouck, Wave Overtopping over a Sea Dike. Journal of Computational Physics, 198 (2004) 686-726. https://doi.org/10.1016/j.jcp.2004.01.022
  24. U. Stephan, and D. Gutknecht, Hydraulic Resistance of Submerged Flexible Vegetation. Journal of Hydrology, 269 (2002) 27-43. https://doi.org/10.1016/S0022-1694(02)00192-0
  25. X. Rao, L. Li, F. Amini, and H. Tang, SPH Modeling of Combined Wave and Surge Overtopping and Hydraulic Erosion of ACB Strengthened Levee System.. Journal of Coastal Research 28 (2012) 1500-1511.
  26. Y. Pan, L. Li, F. Amini, and C. P. Kuang, Full Scale HPTRM Strengthened Levee Testing under Combined Wave and Surge Overtopping Conditions: Overtopping Hydraulics, Shear Stress and Erosion Analysis. Journal of Coastal Research 29 (2013) 182-200.