Numerical Analysis of Oscillating Flow about a Circular Cylinder

Abstract

The numerical experiments, carried out through the use of the vorticity-stream function equations and their finite difference form, on sinusoidally-oscillating as well as coexisting flows (sinusoidal oscillation plus steady mean flow) at low and intermediate Keulegan-Carpenter numbers are described. A third-order in time, second-order in space, three-level predictor- corrector finite-difference scheme has been used. The Poisson equation for the stream function was solved by a Fast Poisson Solver based on the High Order Difference Approximation with Identity Expansion (HODIE) and the Fast Fourier Transform (FFT) methods provided by the National Center for Atmospheric Research for the solution of separable elliptic partial differential equations with a non-square grid. The analysis has produced force-transfer and fluid-damping coefficients comparable to those obtained experimentally for both types of flows (i.e., with and without current) and to those obtained with a square grid through the use of the IMSL library.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA255164

Entities

People

  • John E. Lotshaw

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow
  • Flow Visualization
  • Fluid Dynamics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Reynolds Number
  • Steady Flow
  • Steady State
  • Supercomputers
  • Turbulent Mixing
  • Two Dimensional

Readers

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

Technology Areas

  • Space
  • Space - Hall-Effect Thruster