General Curvilinear Coordinate Systems,

Abstract

The basic ideas of the construction and use of numerically-generated boundary-fitted coordinate systems for the numerical solution of partial differential equations are discussed. With such coordinate systems, all computation can be done on a fixed square grid in the rectangular transformed region regardless of the shape of movement of the physical boundaries. A number of different types of configurations for the transformed region and the basic transformation relations from a cartesian system to a general curvilinear system are given. The material of this paper is applicable to all types of coordinate system generation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADP000966

Entities

People

  • Joe F. Thompson

Organizations

  • Mississippi State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Computations
  • Construction
  • Coordinate Systems
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Grids
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Tennessee

Readers

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