Numerical Solution of the Navier-Stokes Equations for 2D Hydrofoils.

Abstract

This report presents the results of an investigation of the application of numerically-generated boundary-fitted curvilinear coordinate systems in the finite-difference solution of the time-dependent, two-dimensional Navier-Stokes equations for the laminar viscous flow about hydrofoils moving either submerged at a finite depth or in a free surface of a fluid of infinite depth. The hydrofoil may be of arbitrary shape, and its motion may include pitching oscillation or oscillation normal or parallel to the plane of the undisturbed free surface as well as translation parallel to this plane. A computer code has been developed that is capable of predicting the flow field, pressure distributions, and force coefficients for this configuration at low Reynolds numbers. The finite-difference solution is implicit in time so that all the difference equations are solved simultaneously by iteration at each time step. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1977
Accession Number
ADA038092

Entities

People

  • Joe F. Thompson
  • Ray L. Walker
  • Samuel P. Shanks

Organizations

  • Mississippi State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Layer
  • Buoyancy
  • Capillary Electrophoresis
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations Of Motion
  • Flow Fields
  • Fluid Dynamics
  • Froude Number
  • Navier Stokes Equations
  • Partial Differential Equations
  • Pressure Distribution
  • Reynolds Number
  • Two Dimensional
  • Viscous Flow

Readers

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