Computation of Low Speed Viscous Flows with Heat Addition,

Abstract

The use of implicit time-dependent schemes for the numerical solution of low speed, low Reynolds number flows with heat addition is investigated. Stability analyses show that the errors introduced by approximate factorization give rise to instability at Reynolds numbers around 100. Specifically, it is the cross-derivative errors between the viscous and inviscid terms that cause problems. When exact inversion techniques are used, the system becomes strongly stable and numerical experiments show rapid convergence. Comparisons of outflow boundary conditions show that viscous and inviscid formulations give identical results over a wide range of Reynolds numbers when buoyancy is omitted, but with buoyance present the inviscid boundary conditions are unstable. Flowfield results for a range of low Reynolds conditions with and without buoyancy are given to show the manner in which the flowfield changes as these physical parameters are varied.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA194017

Entities

People

  • Ashvin Hosangadi
  • Charles L. Merkle

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Buoyancy
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computations
  • Diffusion
  • Engineering
  • Equations
  • Errors
  • Fluid Dynamics
  • Inviscid Flow
  • Mach Number
  • Mechanical Engineering
  • Notation
  • Reynolds Number
  • Temperature Gradients
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra