Equations of Laminar and Turbulent Flows in General Curvilinear Coordinates.

Abstract

Recent developments in computational fluid mechanics and grid generation have made it possible to consider complex three dimensional laminar and turbulent flows using nonorthogonal coordinates. However, the necessary equations in generalized nonorthogonal coordinates. However, the necessary equations in generalized nonorthogonal are not readily available in a single reference. The purpose of this report is to present these equations for an incompressible fluid. Methods of curvilinear tensor analysis are used to develop the most commonly used equations. Their relationship with the more familiar equations in orthogonal coordinates is shown. Finally, the practical problems of evaluating the many geometric coefficients which appear in these equations are examined by considering numerically generated coordinates for flow around three dimensional bodies. Keywords: Tensor analysis; General curvilinear coordinates; Equations of fluid motion; Turbulence models; Body fitted coordinates; and Computational fluid dynamics.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA166837

Entities

People

  • H. C. Chen
  • M. C. Richmond
  • Virendra C. Patel

Organizations

  • University of Iowa

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Cartesian Coordinates
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Hydrodynamics
  • Mechanical Properties
  • Mechanics
  • Naval Architecture
  • Physics Laboratories
  • Three Dimensional
  • Turbulence

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Geodesy
  • Linear Algebra