Development of the GEM (General Elliptic Marching) Package: User-Oriented Codes for General Discretized Elliptic and Mixed Partial Differential Equations.

Abstract

The development and testing of the GEM (general elliptic marching) codes is described. The GEM codes solve elliptic and mixed discretized 2D pde's by direct (non-iterative) spatial marching methods, in as few as 2 SOR iterations. Both 5-point and 9-point stencils may be solved, with no requirement that the coefficients be separable, and quite general boundary conditions are allowed. Also described is the use of Symbolic Manipulation to produce Fortran coding of the 2D and 3D stencils for boundary fitted coordinate problems, and validation methods. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 18, 1983
Accession Number
ADA125897

Entities

People

  • Patrick J. Roache

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Birds
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programming
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Electric Fields
  • Equations
  • Fluid Dynamics
  • Numerical Analysis
  • Partial Differential Equations
  • Reynolds Number
  • Three Dimensional
  • Two Dimensional

Readers

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