Modeling hurricane waves and storm surge using integrally-coupled, scalable computations

Abstract The unstructured-mesh SWAN spectral wave model and the ADCIRC shallow-water circulation model have been integrated into a tightly-coupled SWAN + ADCIRC model. The model components are applied to an identical, unstructured mesh; share parallel computing infrastructure; and run sequentially in time. Wind speeds, water levels, currents and radiation stress gradients are vertex-based, and therefore can be passed through memory or cache to each model component. Parallel simulations based on domain decomposition utilize identical sub-meshes, and the communication is highly localized. Inter-model communication is intra-core, while intra-model communication is inter-core but is local and efficient because it is solely on adjacent sub-mesh edges. The resulting integrated SWAN + ADCIRC system is highly scalable and allows for localized increases in resolution without the complexity or cost of nested meshes or global interpolation between heterogeneous meshes. Hurricane waves and storm surge are validated for Hurricanes Katrina and Rita, demonstrating the importance of inclusion of the wave-circulation interactions, and efficient performance is demonstrated to 3062 computational cores.

[1]  R. Long,et al.  Array measurements of atmospheric pressure fluctuations above surface gravity waves , 1981, Journal of Fluid Mechanics.

[2]  Jin Wu Wind‐stress coefficients over sea surface from breeze to hurricane , 1982 .

[3]  J. Garratt Review of Drag Coefficients over Oceans and Continents , 1977 .

[4]  Q. Chen,et al.  Hydrodynamic Response of Northeastern Gulf of Mexico to Hurricanes , 2008 .

[5]  Timothy A. Reinhold,et al.  Hurricane Andrew's Landfall in South Florida. Part I: Standardizing Measurements for Documentation of Surface Wind Fields , 1996 .

[6]  Roger Moore,et al.  An overview of the open modelling interface and environment (the OpenMI) , 2005 .

[7]  J. A. Battjes,et al.  ENERGY LOSS AND SET-UP DUE TO BREAKING OF RANDOM WAVES , 1978 .

[8]  Joannes J. Westerink,et al.  Similarities between the quasi‐bubble and the generalized wave continuity equation solutions to the shallow water equations , 2004 .

[9]  V. Cardone,et al.  AN INTERACTIVE OBJECTIVE KINEMATIC ANALYSIS SYSTEM , 1995 .

[10]  K. Hasselmann,et al.  On the Existence of a Fully Developed Wind-Sea Spectrum , 1984 .

[11]  N. Booij,et al.  A third-generation wave model for coastal regions-1 , 1999 .

[12]  Mark D. Powell,et al.  The HRD real-time hurricane wind analysis system , 1998 .

[13]  J. M. Smith,et al.  Wave Transformation Modeling at Cape Fear River Entrance, North Carolina , 2004 .

[14]  Cecelia DeLuca,et al.  Design and Implementation of Components in the Earth System Modeling Framework , 2005, Int. J. High Perform. Comput. Appl..

[15]  Scott C. Hagen,et al.  Coupling of Hydrodynamic and Wave Models: Case Study for Hurricane Floyd (1999) Hindcast , 2008 .

[16]  P. Janssen The Interaction of Ocean Waves and Wind , 2004 .

[17]  Joannes J. Westerink,et al.  Aspects of nonlinear simulations using shallow-water models based on the wave continuity equation , 1994 .

[18]  John C. Warner,et al.  Using the Model Coupling Toolkit to couple earth system models , 2008, Environ. Model. Softw..

[19]  Y. Eldeberky,et al.  Nonlinear transformation of wave spectra in the nearshore , 1996 .

[20]  M. Nicholas,et al.  Coastal engineering. , 1969, Science.

[21]  J. C. Dietrich,et al.  A High-Resolution Coupled Riverine Flow, Tide, Wind, Wind Wave, and Storm Surge Model for Southern Louisiana and Mississippi. Part II: Synoptic Description and Analysis of Hurricanes Katrina and Rita , 2010 .

[22]  Radiation Stresses in Short-crested Waves ' J , 2022 .

[23]  W. K. Anderson,et al.  An implicit upwind algorithm for computing turbulent flows on unstructured grids , 1994 .

[24]  M. Zijlema Computation of wind-wave spectra in coastal waters with SWAN on unstructured grids , 2010 .

[25]  Vipin Kumar,et al.  A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs , 1998, SIAM J. Sci. Comput..

[26]  R. Weaver,et al.  EFFECT OF WAVE FORCING ON STORM SURGE , 2005 .

[27]  Michiel Blind,et al.  OpenMI: the essential concepts and their implications for legacy software , 2005 .

[28]  Sooyoul Kim,et al.  Numerical analysis of effects of tidal variations on storm surges and waves , 2008 .

[29]  T. Barnett,et al.  Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP) , 1973 .

[30]  A. Mehtab,et al.  Wave – sediment interaction on a muddy inner shelf during Hurricane Claudette , 2005 .

[31]  Donald T. Resio,et al.  STWAVE: Steady-State Spectral Wave Model User's Manual for STWAVE, Version 3.0 , 2001 .

[32]  J. Feyen,et al.  A Basin to Channel-Scale Unstructured Grid Hurricane Storm Surge Model Applied to Southern Louisiana , 2008 .

[33]  Csusb Fall/Winter 2005 , 2005 .

[34]  Klaus Hasselmann,et al.  On the spectral dissipation of ocean waves due to white capping , 1974 .

[35]  David W. Wang,et al.  Investigation of Wave Growth and Decay in the SWAN Model: Three Regional-Scale Applications , 2003 .

[36]  Nico Booij,et al.  Phase-decoupled refraction¿diffraction for spectral wave models , 2003 .

[37]  J. C. Dietrich,et al.  A High-Resolution Coupled Riverine Flow, Tide, Wind, Wind Wave, and Storm Surge Model for Southern Louisiana and Mississippi. Part I: Model Development and Validation , 2010 .

[38]  Andrew T. Cox,et al.  Evaluation of Contemporary Ocean Wave Models in Rare Extreme Events: The “Halloween Storm” of October 1991 and the “Storm of the Century” of March 1993 , 1996 .

[39]  Joannes J. Westerink,et al.  Continuous, discontinuous and coupled discontinuous–continuous Galerkin finite element methods for the shallow water equations , 2006 .

[40]  R. Gorman,et al.  Modelling shallow water wave generation and transformation in an intertidal estuary , 1999 .

[41]  Cecelia DeLuca,et al.  The architecture of the Earth System Modeling Framework , 2003, Computing in Science & Engineering.

[42]  K. Hasselmann,et al.  Computations and Parameterizations of the Nonlinear Energy Transfer in a Gravity-Wave Specturm. Part II: Parameterizations of the Nonlinear Energy Transfer for Application in Wave Models , 1985 .

[43]  M. Longuet-Higgins,et al.  Radiation stresses in water waves; a physical discussion, with applications , 1964 .

[44]  A. Zundel,et al.  STWAVE: Steady-State Spectral Wave Model. Report 1: User's Manual for STWAVE Version 2.0 , 1999 .

[45]  Billy L. Edge,et al.  Case Study for a Cohesive Sediment Transport Model for Matagorda Bay, Texas, with Coupled ADCIRC 2D-Transport and SWAN Wave Models , 2008 .

[46]  Lie-Yauw Oey,et al.  Hindcast of Waves and Currents in Hurricane Katrina , 2008 .

[47]  V. Cardone,et al.  Hindcast of Winds, Waves and Currents in Northern Gulf of Mexico in Hurricanes Katrina (2005) and Rita (2005) , 2007 .

[48]  N. Booij,et al.  A third‐generation wave model for coastal regions: 2. Verification , 1999 .