Progress with Multigrid Schemes for Hypersonic Flow Problems

Abstract

Several multigrid schemes are considered for the numerical computation of viscous hypersonic flows. For each scheme, the basic solution algorithm employs upwind spatial discretization with explicit multistage time stepping. Two-level versions of the various multigrid algorithms are applied to the two-dimensional advection equation, and Fourier analysis is used to determine their damping properties. The capabilities of the multigrid methods are assessed by solving three different hypersonic flow problems. Some new multigrid schemes based on semicoarsening strategies are shown to be quite effective in relieving the stiffness caused by the high-aspect-ratio cells required to resolve high Reynolds number flows. These schemes exhibit good coverage rates for Reynolds numbers up to 200 million and Mach numbers up to 25.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1991
Accession Number
ADA244822

Entities

People

  • R. C. Swanson
  • Rolf Radespiel

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Advection
  • Aspect Ratio
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fourier Analysis
  • Geometry
  • Mach Number
  • Mechanical Properties
  • Mesh
  • Reynolds Number
  • Turbulent Mixing
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Hypersonics