Direct Discretization of Planar div-curl Problems

Abstract

A control volume method is proposed for planar div-curl systems. The method is independent of potential and least squares formulations, and works directly with the div-curl system. The novelty of the technique lies in its use of a single local vector field component and two control volumes rather than the other way round. A discrete vector field theory comes quite naturally from this idea and is developed in the paper. Error estimates are proved for the method, and other ramifications investigated. (JHD)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1989
Accession Number
ADA214259

Entities

People

  • R. A. Nicolaides

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Cartesian Coordinates
  • Complex Variables
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Linear Systems
  • Theorems

Fields of Study

  • Physics

Readers

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