A Spline Relaxation Procedure for Calculating Axisymmetric Flow Fields about Body/Propeller Combinations. I. Frozen Vorticity and Potential Flows.

Abstract

A general numerical solution method is presented for calculating incompressible axisymmetric viscous/turbulent flow in the tail-near wake region of a body-propeller combination. The method makes use of the parabolic vorticity transport approximation in conjunction with polynomial splines to achieve sufficient accuracy in high flow gradient regions with as few grid points as possible. A sheared body fitted coordinate system is used and the numerical solution of the finite difference equations is obtained by standard line overrelaxation. This report presents the details of the method for the first phase of the work where the vorticity transport equation is omitted (frozen vorticity flow). Sample potential flow and frozen vorticity solutions are presented with no propeller present. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 14, 1980
Accession Number
ADA087027

Entities

People

  • G. H. Hoffman

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boltzmann Equation
  • Boundaries
  • Boundary Layer
  • Computational Science
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Flow Fields
  • Geometry
  • Jet Propulsion
  • Navier Stokes Equations
  • Navy
  • Potential Flow
  • Pressure Distribution

Fields of Study

  • Physics

Readers

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