Numerical Techniques for Ocean Forecasting.

Abstract

The general equations that describe the flow of the ocean are well known, but for many cases of interest, analytical solutions are not possible because of irregular boundaries or significant non-linearities in the equations. It is often possible to obtain useful approximate solutions using numerical techniques. However, for reasonably detailed numerical models, very large amounts of computer time are required, and it becomes imperative to seek out the most efficient numerical algorithm. In the case where forecasts are being made on a real time basis, the use of non-optimum schemes may result in unacceptable delays. This report describes a class of techniques for the efficient treatment of bodies of water with irregular boundaries. Realistic models of the ocean state must include adequate treatment of the boundaries, the irregular bottom topography, the shape of the coastline and the complicated geometry of groups of islands. Traditional numerical methods using a rectangular finite difference grid are suitable for exploratory surveys of idealised problems where the aim is to see why a particular system responds as it does, and what effects variations in the parameters of the problem and the forcing terms have on the outcome.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1980
Accession Number
ADA100362

Entities

People

  • Eric Graham

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Computational Science
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Equations
  • Fluid Mechanics
  • Lists (Data Structures)
  • Mechanics
  • Partial Differential Equations
  • Shallow Water
  • Simulations
  • Solid Bodies
  • Stratified Fluids
  • Time Intervals
  • Topology

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Coastal Oceanography
  • Theoretical Analysis.