Agglomeration Multigrid for Viscous Turbulent Flows

Abstract

Agglomeration multigrid, which has been demonstrated as an efficient and automatic technique for the solution of the Euler equations on unstructured meshes, is extended to viscous turbulent flows. For diffusion terms, coarse grid discretizations are not possible, and more accurate grid transfer operators are required as well. A Galerkin coarse grid operator construction and an implicit prolongation operator are proposed. Their suitability is evaluated by examining their effect on the solution of Laplace's equation. The resulting strategy is employed to solve the Reynolds-averaged Navier-Stokes equations for aerodynamic flows. Convergence rates comparable to those obtained by a previously developed non-nested mesh multigrid approach are demonstrated, and suggestions for further improvements are given. Unstructured, Multigrid, Agglomeration.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1994
Accession Number
ADA284064

Entities

People

  • D. J. Mavriplis
  • V. Venkatakrishnan

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Construction
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Navier Stokes Equations
  • Partial Differential Equations
  • Three Dimensional
  • Topology
  • Turbulent Flow
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)