An Effective Multigrid Method for High-Speed Flows

Abstract

We consider the use of a multigrid method with central differencing to solve the Navier Stokes equations for high speed flows. The time-dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time stepping and variable coefficient implicit residual smoothing. Of particular importance are the details of the numerical dissipation formulation, especially the switch between the second and fourth difference terms. Solutions are given for two-dimensional laminar flow over a circular cylinder and a 15 degree compression ramp.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1991
Accession Number
ADA240568

Entities

People

  • E. Turkel
  • J. A. White
  • R. C. Swanson

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Science
  • Engineering
  • Equations
  • Experimental Data
  • Flow Fields
  • Fluid Dynamics
  • Free Stream
  • Frequency
  • Heat Transfer
  • Heat Transfer Coefficients
  • Hypersonic Flow
  • Mach Number
  • Shock Waves
  • Steady Flow
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics
  • Physics

Readers

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