A Review of Marching Procedures for Parabolized Navier-Stokes Equations.

Abstract

Marching techniques for the parabolized Navier Stokes equations are considered. With the full pressure interaction and prescribed edge pressure these equations are weakly elliptic in subsonic zones. A minimum marching step size (delta x sub min), proportional to the total thickness of the subsonic layer, exists. However, for thin subsonic boundary layers (Y sub M << 1) and with delta x = 0(Y sub M), stable and accurate solutions are possible. With forward differencing of the axial pressure gradient the procedure can be made unconditionally stable; a global iteration procedure, requiring only the storage of the pressure term, has been demonstrated for a separated flow problem. Solutions for incompressible boundary layer-like flows, for internal flows, and for supersonic flow over a cone at incidence with a coupled strongly implicit procedure are presented.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA096623

Entities

People

  • S. G. Rubin

Organizations

  • University of Cincinnati

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mechanics
  • Axial Flow
  • Boundaries
  • Boundary Layer
  • Equations
  • Flow
  • Flow Separation
  • Geometry
  • Iterations
  • Navier Stokes Equations
  • Pressure Distribution
  • Pressure Gradients
  • Secondary Flow
  • Subsonic Flow
  • Supersonic Flow
  • Thickness

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers