Testing Finite Differencing Schemes for the Shallow Water Equations.

Abstract

The explicit, the semi-implicit, and the fractional step schemes are testbed and compared in the solution of the shallow water equations. The explicit finite-difference formulation is the most accurate, but is restricted by a stability condition which is not suitable for long-term numerical simulations. The standard semi-implicit scheme requires the solution of an elliptic equation which is also time-consuming. The fractional step method results in the least accurate, but computationally the most efficient solution. Keywords:Courant-Friedrichs-Levy stability condition; Explicit scheme; Fractional step method; Semi-implicit scheme; Shallow water equation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA190518

Entities

People

  • G. Peggion

Organizations

  • SACLANT ASW Research Centre

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Cartesian Coordinates
  • Defense Planning
  • Equations
  • Errors
  • Frequency
  • Governments
  • Grids
  • Group Velocity
  • Nato
  • Northern Hemisphere
  • Shallow Water
  • Stability Conditions
  • Stratified Fluids
  • Value
  • Water

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)