Proof of Crossplane Symmetry for a Conical Navier-Stokes Solver.

Abstract

A formal proof is given for the symmetry of a conical Navier-Stokes solver that has been employed in the computation of vortex asymmetries. The conical Navier-Stokes equations are presented as developed from the generalized coordinate three-dimensional Navier-Stokes equation approach. The solver is then discussed in detail. The proof is first sketched to clarify what must be shown to demonstrate symmetry. The details of the implicit and explicit side symmetry relations are then presented using in part the MACSYMA symbolic manipulation expert system. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1995
Accession Number
ADA300313

Entities

People

  • Paul D. Orkwis
  • Raja Sengupta

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • C4I
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Asymmetry
  • Boundaries
  • Cartesian Coordinates
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Expert Systems
  • Fluid Dynamics
  • Gas Dynamics
  • Grids
  • Mechanics
  • Molecular Dynamics
  • Navier Stokes Equations
  • Symmetry
  • Three Dimensional

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)