Formulation and Validation of Vertically Two-Dimensional Shallow-Water Wave Model.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1996
- Accession Number
- ADA316818
Entities
People
- Bradley D. Johnson
- Daniel T. Cox
- Nobuhisa Kobayashi
Organizations
- University of Delaware