An application of Boussinesq modeling to Hurricane wave overtopping and inundation

Wave and combined wave-and-surge overtopping was significant across a large portion of the hurricane protection system of New Orleans during Hurricane Katrina. In particular, along the east-facing levees of the Mississippi River-Gulf Outlet (MRGO), the overtopping caused numerous levee breaches. This paper will focus on the MRGO levees, and will attempt to recreate the hydrodynamic conditions during Katrina to provide an estimate of the experienced overtopping rates. Due to the irregular beach profiles leading up to the levees and the general hydrodynamic complexity of the overtopping in this area, a Boussinesq wave model is employed. This model is shown to be accurate for the prediction of waves shoaling and breaking over irregular beach profiles, as well as for the overtopping of levees. With surge levels provided by ADCIRC and nearshore wave heights by STWAVE, the Boussinesq model is used to predict conditions at the MRGO levees for 10 h near the peak of Katrina. The peak simulated overtopping rates correlate well with expected levee damage thresholds and observations of damage in the levee system. Finally, the predicted overtopping rates are utilized to estimate a volumetric flooding rate as a function of time for the entire 20 km stretch of east-facing MRGO levees.

[1]  Christine F. Andersen,et al.  The New Orleans hurricane protection system : what went wrong and why , 2007 .

[2]  Franklin Liu,et al.  Modeling wave runup with depth-integrated equations , 2002 .

[3]  Derek M. Causon,et al.  Numerical simulation of wave overtopping of coastal structures using the non-linear shallow water equations , 2000 .

[4]  G. Jirka,et al.  Experimental study of plane turbulent wakes in a shallow water layer , 1995 .

[5]  Steven A. Hughes,et al.  Laboratory study of combined wave overtopping and storm surge overflow of a levee , 2009 .

[6]  Julien De Rouck,et al.  Crest level assessment of coastal structures — General overview , 2009 .

[7]  W. Godwin Article in Press , 2000 .

[8]  Donald T. Resio,et al.  PROBABILISTIC DESIGN METHOD OF LEVEE AND FLOODWALL HEIGHTS FOR THE HURRICANE PROTECTION SYSTEM IN THE NEW ORLEANS AREA , 2007 .

[9]  S. Socolofsky,et al.  A depth-integrated model for weakly dispersive, turbulent, and rotational fluid flows , 2009 .

[10]  Nicholas Dodd,et al.  Numerical Model of Wave Run-Up, Overtopping, and Regeneration , 1998 .

[11]  Daniel R. Miller,et al.  Final report , 2000 .

[12]  P. Stansby,et al.  Surf zone wave overtopping a trapezoidal structure: 1-D modelling and PIV comparison , 2004 .

[13]  D. M. Temple,et al.  Mechanics of Overflow Erosion on Embankments. II: Hydraulic and Design Considerations , 1989 .

[14]  Yong-Sik Cho,et al.  Well-Balanced Scheme between Flux and Source Terms for Computation of Shallow-Water Equations over Irregular Bathymetry , 2008 .

[15]  Yong-Sik Cho,et al.  Runup of solitary waves on a circular Island , 1995, Journal of Fluid Mechanics.

[16]  Nobuhisa Kobayashi,et al.  WAVE OVERTOPPING ON COASTAL STRUCTURES , 1989 .

[17]  H. Oumeraci,et al.  Effects of Natural Sea States on Wave Overtopping of Seadikes , 2002 .

[18]  Dominic E. Reeve,et al.  Numerical study of combined overflow and wave overtopping over a smooth impermeable seawall , 2008 .

[19]  F. Gao Numerical Modelling of Wave Interaction with Porous Structures , 2007 .

[20]  R. Frosch Ocean engineering , 1972 .

[21]  Thorndike Saville Laboratory data on wave run-up and overtopping on shore structures , 1955 .

[22]  S. Haaland Simple and Explicit Formulas for the Friction Factor in Turbulent Pipe Flow , 1983 .

[23]  Various Design of seawalls allowing for wave overtopping , 1980 .

[24]  Kuang-An Chang,et al.  Numerical Modeling of Wave Interaction with Porous Structures , 2001 .

[25]  Costas E. Synolakis,et al.  The runup of solitary waves , 1987, Journal of Fluid Mechanics.

[26]  Julien De Rouck,et al.  Wave overtopping over a sea dike , 2004 .

[27]  Matthew E. Hubbard,et al.  A 2D numerical model of wave run-up and overtopping , 2002 .

[28]  Satoru Yamamoto,et al.  Higher-order-accurate upwind schemes for solving the compressible Euler and Navier-Stokes equations , 1993 .

[29]  Peter A. Troch,et al.  Numerical investigations of wave overtopping at coastal structures , 2009 .

[30]  D. Graham,et al.  Simulation of wave overtopping by an incompressible SPH model , 2006 .

[31]  Patrick J. Lynett,et al.  Nearshore Wave Modeling with High-Order Boussinesq-Type Equations , 2006 .

[32]  J. W. Van der Meer,et al.  Technical report wave run-up and wave overtopping at dikes , 2002 .

[33]  Patrick J. Lynett,et al.  Multi‐scale simulation with a hybrid Boussinesq‐RANS hydrodynamic model , 2009 .