Accession Number : ADA316818

Title :   Formulation and Validation of Vertically Two-Dimensional Shallow-Water Wave Model.

Descriptive Note : Technical rept.,

Corporate Author : DELAWARE UNIV NEWARK CENTER FOR APPLIED COASTAL RESEARCH

Personal Author(s) : Johnson, Bradley D. ; Kobayashi, Nobuhisa ; Cox, Daniel T.

PDF Url : ADA316818

Report Date : JUL 1996

Pagination or Media Count : 137

Abstract : The computer program VBREAK is developed to predict the time-dependent, two-dimensional velocity field under normally incident breaking waves on beaches and coastal structures. To reduce computation time considerably, use is made of the depth-integrated continuity and horizontal momentum equations. The momentum equation includes the momentum flux correction due to the vertical variation of the horizontal velocity. The bottom shear stress is expressed in terms of the near-bottom horizontal velocity immediately outside the thin wave boundary layer. The third equation for the momentum flux correction is derived from the depth-integrated wave energy equation. In order to express these three one-dimensional, time-dependent equations in terms of the three unknown variables of the water depth, depth-averaged horizontal velocity, and near-bottom horizontal velocity, the normalized vertical profile of the horizontal velocity is assumed to be cubic on the analogy between turbulent bores and hydraulic jumps. Furthermore, the turbulent shear stress is assumed to be expressed using the turbulent eddy viscosity whose mixing length is proportional to the water depth.

Descriptors :   *WATER WAVES, *SURF, TIME DEPENDENCE, FLUX(RATE), BOUNDARY LAYER, TURBULENT FLOW, EDDIES(FLUID MECHANICS), SHALLOW WATER, SHEAR STRESSES, MIXING, VISCOSITY, BEACHES, OCEAN BOTTOM, MOMENTUM TRANSFER.

Subject Categories : Fluid Mechanics
      Physical and Dynamic Oceanography

Distribution Statement : APPROVED FOR PUBLIC RELEASE