A boundary-Fitted Coordinate Code for General Two-Dimensional Regions with Obstacles and Boundary Intrusions.

Abstract

A code (WESC0R) for the generation of boundary-fitted coordinate systems for general two-dimensional regions with boundaries of arbitrary shape and with internal obstacles and boundary intrusions, arbitrary in shape and number, is described and instructions for input and use are given. The coordinate system is generated from the numerical solution of a system of elliptic partial differential equations with provision for controlling the spacing of the coordinate lines in the field. The transformed (computational) region is rectangular with the obstacles and intrusions transformed to slits and/or slabs. A small code to distribute points on various fundamental curves with exponential concentration is also described. This front-end code can be used to construct boundary point distributions for input to the coordinate code. A plot code for the coordinate system is also included. The boundary-fitted coordinate systems generated by this code may be used as a basis for the numerical solution of partial differential equations for any physical problem of interest. This procedure will be particularly useful where numerical models are used to analyze flow problems with complex boundary conditions. Typical examples are riverine analysis or the design and evaluation of selective withdrawal outlet works. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA129482

Entities

People

  • Joe F. Thompson

Organizations

  • Mississippi State University

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Cartesian Coordinates
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Engineering
  • Engineers
  • Fluid Dynamics
  • Numerical Analysis
  • Partial Differential Equations
  • Two Dimensional
  • United States
  • Water Quality

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space