The Generation of Three-Dimensional Body-Fitted Coordinate Systems for Viscous Flow Problems.

Abstract

The problem of numerical generation in surfaces and in three-dimensional configurations through elliptic Partial Differential Equations has been pursued under this grant. The developed mathematical model has been programed on CRAY-1 and has been tested for single and two-body configurations enclosed in a single boundary and for generation of coordinates in a single surface.The main aim of this research has been to develop and implement a technique for the generation of spatial coordinates in 3D regions enclosed by arbitrary smooth surfaces for ulimate use in the numerical solution of the Navier-Strokes equations. In this regard, a mathematical model based on a set of elliptic PDE's has been developed, which has been used to generate smooth coordinates in the region formed by arbitrary inner and outer surfaces of known shapes, around multibodies, particularly around a wing-body combination. These equations have also been used to generate surface coordinates in arbitrary surfaces and are also capable of coordinate redistribution in any desired manner both in 3D regions and in 2D surface regions.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA150861

Entities

People

  • Z. U. A. Warsi

Organizations

  • Mississippi State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Cartesian Coordinates
  • Computational Fluid Dynamics
  • Computer Simulations
  • Computers
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Equations
  • Fluid Dynamics
  • Geometric Forms
  • Geometry
  • Mathematical Models
  • Partial Differential Equations
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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