Generation of Surface Grids through Elliptic Partial Differential Equations for Aircraft and Missile Configurations.

Abstract

This report is devoted to a computational method of mesh generation in arbitrary surfaces by utilizing a set of elliptic partial differential equations. These equations depend explicitly on the mean curvature and the unit normal vector of the surface in which the coordinates are to be generated. To determine the mean curvature for a given surface in global coordinates, first a piecewise least squares method is used to fit a surface through the given data points. Next, mesh generation results for various geometrically complicated shapes have been obtained to demonstrate the versatility of the proposed equations. An example of a monoclinic coordinate system with contraction in the coordinate leaving the surface has also been presented.

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Document Details

Document Type
Technical Report
Publication Date
May 09, 1986
Accession Number
ADA172867

Entities

People

  • Z. U. Warsi

Organizations

  • Mississippi State University

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Cartesian Coordinates
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Geometry
  • Grids
  • Mathematical Analysis
  • Mathematical Models
  • Mississippi
  • Partial Differential Equations
  • Scientific Research

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Materials Science and Engineering.