NUMESH: A Computer Program to Generate Finite-Difference Meshes for Arbitrary Doubly-Connected Two-Dimensional Regions.

Abstract

NUMESH is a computer program for the numerical generation of boundary-fitted coordinate systems for two-dimensional regions. A numerical transformation maps a doubly-connected region bounded by arbitrary curves onto a rectangular computational field with a square mesh. Numerical solutions of partial differential equations may be obtained from the computational field without interpolation regardless of boundary shape. The mathematical procedure and the use of the program are described. Two types of meshes can be produced which are useful for solving problems such as flow past a submerged body in a channel or under a free surface. The use of interactive graphics permits a mesh to be generated, viewed, and regenerated with slight alterations, until a suitable mesh definition is obtained. Meshes are shown for several configurations involving circular and arbitrarily-shaped bodies. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1977
Accession Number
ADA039538

Entities

People

  • David W Taylor
  • Roderick M. Coleman

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Graphics
  • Grids
  • Mesh
  • Molecular Dynamics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Shape
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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