Conforming Chebyshev Spectral Collocation Methods for the Solution of Laminar Flow in a Constricted Channel

Abstract

The numerical simulation of steady planar two-dimensional, laminar flow of an incompressible fluid through an abruptly contracting channel using spectral domain decomposition methods is described. The key features of the method are the decomposition of the flow region into a number of rectangular subregions and spectral approximations which are point wise C1 continuous across subregion interfaces. Spectral approximations to the solution are obtained for Reynolds numbers in the range (0, 500). The size of the salient corner vortex decreases as the Reynolds number increases from 0 to around 45. As the Reynolds number is increased further the vortex grows slowly. A vortex is detected downstream of the Reynolds of around 175 that continues to grow as the Reynolds number is increased further. Keywords: Spectral methods, Domain decomposition, Incompressible fluid dynamics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA227244

Entities

People

  • Andreas Karageorghis
  • Timothy N. Phillips

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Chebyshev Polynomials
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Laminar Flow
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Polynomials
  • Reynolds Number

Fields of Study

  • Physics

Readers

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