A Fully Nonlinear Boussinesq Model in Generalized Curvilinear Coordinates

Abstract

Based on the fully nonlinear Boussinesq equations in Cartesian coordinates, the equations in generalized coordinates are derived adapt computations to irregularly-shaped shorelines, such as harbors, bays and tidal inlets, and to make computations more efficient in large nearshore regions. Contravariant components of velocity vectors are employed in the derivation instead of the normal components in curvilinear coordinates or original components in Cartesian coordinates, which greatly simplifies the equations in generalized curvilinear coordinates. A high-order finite difference scheme with staggered grids in the image domain is adopted in the numerical model. The model is applied to five examples involving irregular coordinate systems. The results of these cases are in good agreement with analytical results, experimental data, and the results from the uniform grid model, which shows that the model has good accuracy and efficiency in dealing with the computations of nonlinear surface gravity waves in domains complicated geometries.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1999
Accession Number
ADA379007

Entities

People

  • Andrew Kennedy
  • Fengyan Shi
  • James T Kirby
  • Qing Chen
  • Robert A. Dalrymple

Organizations

  • University of Delaware

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Cartesian Coordinates
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Equations
  • Experimental Data
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Grids
  • Military Research
  • Sea Level Rise
  • Solitons
  • Standing Waves
  • Storm Surges
  • Two Dimensional
  • Wave Propagation

Readers

  • Coastal Oceanography
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.