Multigrid Solution of Compressible Turbulent Flow on Unstructured Meshes Using a Two-Equation Model

Abstract

The steady state solution of the system of equations consisting of the full Navier Stokes equations and two turbulence equations has been obtained using a multigrid strategy on unstructured meshes. The flow equations and turbulence equations are solved in a loosely coupled manner. The flow equations are advanced in time using a multi-stage Runge Kutta time stepping scheme with a stability bound local time-step, while the turbulence equations are advanced in a point-implicit scheme with a time-step which guarantees stability and positivity. Low Reynolds number modifications to the original two-equation model are incorporated in a manner which results in well behaved equations for arbitrarily small wall distances. A variety of aerodynamic flows are solved for, initializing all quantities with uniform freestream values. Rapid and uniform convergence rates for the flow and turbulence equations are observed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA233443

Entities

People

  • D. J. Mavriplis
  • L. Martinelli

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Convergence
  • Engineering
  • Equations
  • Experimental Data
  • Flow Fields
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Pressure Distribution
  • Reynolds Number
  • Skin Friction
  • Steady State
  • Turbulence
  • Turbulent Flow
  • Turbulent Mixing

Fields of Study

  • Mathematics
  • Physics

Readers

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