A model-coupling framework for nearshore waves, currents, sediment transport, and seabed morphology

This paper presents a framework for synchronously coupling wave, current, sediment transport, and seabed morphology for the accurate simulation of multi-physics coastal ocean processes. The governing equations, which represent models that are commonly adopted in practical simulations, are discretized using finite-difference methods. The resulting system is validated against analytical solutions. In order to test the performance of the proposed framework and the numerical methods, dam-break flow over a mobile-bed and evolution of a wave-driven sand dune are simulated. The interactions among waves, currents, and seabed morphology are illustrated.

[1]  Ethan J. Kubatko,et al.  An unstructured grid morphodynamic model with a discontinuous Galerkin method for bed evolution , 2006 .

[2]  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 .

[3]  Justin Hudson,et al.  Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport , 2003, J. Sci. Comput..

[4]  Javier Murillo,et al.  Coupling between shallow water and solute flow equations: analysis and management of source terms in 2D , 2005 .

[5]  Hin-Fatt Cheong,et al.  Three-dimensional finite difference model for transport of conservative pollutants , 1998 .

[6]  James M. Kaihatu,et al.  Diffusion reduction in an arbitrary scale third generation wind wave model , 2002 .

[7]  J. F. A. Sleath,et al.  Sea bed mechanics , 1984 .

[8]  Benedict D. Rogers,et al.  Godunov‐type adaptive grid model of wave–current interaction at cuspate beaches , 2004 .

[9]  Paul J. Martin,et al.  Validation of interannual simulations from the 1/8° global Navy Coastal Ocean Model (NCOM) , 2006 .

[10]  R. Maccormack,et al.  The Effect of Viscosity in Hypervelocity Impact Cratering , 2003 .

[11]  A. R. van Dongeren,et al.  Nonlinear and 3D effects in leaky infragravity waves , 2000 .

[12]  Huajun Li,et al.  Numerical study of three-dimensional suspended sediment transport in waves and currents , 2007 .

[13]  André Paquier,et al.  One-dimensional numerical modelling of dam-break waves over movable beds: application to experimental and field cases , 2008 .

[14]  P. Lax Weak solutions of nonlinear hyperbolic equations and their numerical computation , 1954 .

[15]  Robert Peloquin The Navy Ocean Modeling and Prediction Program— From Research to Operations: An Overview , 1992 .

[16]  George A. Krallis,et al.  Sediment Transport Modeling Review—Current and Future Developments , 2008 .

[17]  Dirk-Jan R. Walstra,et al.  The morphodynamic modelling of tidal sand waves on the shoreface , 2007 .

[18]  Weiming Wu,et al.  Depth-Averaged Two-Dimensional Numerical Modeling of Unsteady Flow and Nonuniform Sediment Transport in Open Channels , 2004 .

[19]  Benedict D. Rogers,et al.  Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver , 2003 .

[20]  Lian Xie,et al.  A numerical study of wave‐current interaction through surface and bottom stresses: Wind‐driven circulation in the South Atlantic Bight under uniform winds , 2001 .

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

[22]  P. K. Sweby,et al.  A high‐resolution scheme for the equations governing 2D bed‐load sediment transport , 2005 .

[23]  N. Heaps,et al.  Three-dimensional coastal ocean models , 1987 .

[24]  Hansong Tang,et al.  A Second-Order Accurate Capturing Scheme for 1D Inviscid Flows of Gas and Water with Vacuum Zones , 1996 .

[25]  M. Kennish Estuary Restoration and Maintenance: The National Estuary Program , 1999 .

[26]  Alfredo Bermúdez,et al.  Upwind methods for hyperbolic conservation laws with source terms , 1994 .

[27]  J. V. Soulis,et al.  A fully coupled numerical technique for 2D bed morphology calculations , 2002 .

[28]  L. Pietrafesa,et al.  A numerical study of wave‐current interaction through surface and bottom stresses: Coastal ocean response to Hurricane Fran of 1996 , 2003 .

[29]  Luigi Fraccarollo,et al.  A well-balanced approach for flows over mobile-bed with high sediment-transport , 2006, J. Comput. Phys..

[30]  Hendrik L. Tolman,et al.  A Third-Generation Model for Wind Waves on Slowly Varying, Unsteady, and Inhomogeneous Depths and Currents , 1991 .