Flexible Grid Generation for Complex Geometries in Two Space Dimensions Based on Variational Principles,

Abstract

A method is described that is suitable for the numerical generation of boundary conforming curvilinear coordinate systems. The method is based on the decomposition of a multiply connected domain into a number of simply connected zones. In each zone the grid is computed by solving a system of Euler equations that minimizes a functional of the unknown transformation functions. This system of equations and the natural boundary conditions of the minimization problem are discussed. A first illustration of this technique is given for the case of a three element airfoil.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADP005113

Entities

People

  • B. Oskam
  • G. H. Huizing

Organizations

  • National Aerospace Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Computational Fluid Dynamics
  • Coordinate Systems
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Grids
  • Mathematical Analysis
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Fluid Mechanics and Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers