Advective Effects in the Numerical Simulation of Long Period, Large Amplitude Wave Behavior.

Abstract

Numerical modeling of water-wave behavior has progressed rapidly in the last decade and is now generally recognized as a useful tool capable of providing solutions to many coastal problems. The U. S. Army, through various agencies, has sponsored development of two-dimensional numerical models for simulating long period wave behavior. Many of these models have included the advective terms in their formulation. Demonstrated in numerous papers throughout the literature, inclusion of advective effects can lead to instabilities in the solution. This fact was exemplified in the work of Sloss (1972) in his attempt to include these effects in storm surge simulation. The primary objective of this investigation was the assessment of the role of advective terms in the numerical simulation of long period, large amplitude wave behavior. A major effort in accomplishing this objective was the development of an appropriate representation of the non-linear terms in the difference equations of motion. To this end, a stabilizing correction, double sweep implicit scheme was encoded into an existing and extensively used hydrodynamic model, WIFM. The scheme manifested a high degree of stability in various numerical flume tests.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA105231

Entities

People

  • H. Lee Butler

Tags

Communities of Interest

  • Cyber

DTIC Thesaurus Topics

  • Amplitude
  • Coastal Flooding
  • Computations
  • Continental Shelves
  • Difference Equations
  • Differential Equations
  • Engineers
  • Equations
  • Equations Of Motion
  • Floods
  • Hurricanes
  • Numerical Analysis
  • Sea Level Rise
  • Simulations
  • Storm Surges
  • Two Dimensional
  • Water Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Coastal Oceanography
  • Computational Modeling and Simulation