Coarsening Strategies for Unstructured Multigrid Techniques With Application to Anisotropic Problems.

Abstract

Over the years, multigrid has been demonstrated as an efficient technique for solving inviscid flow problems. However, for viscous flows, convergence rates often degrade. This is generally due to the required use of stretched meshes (i.e. the aspect-ratio AR = delta(y)/delta(x) << 1) in order to capture the boundary layer near the body. Usual techniques for generating a sequence of grids that produce proper convergence rates on isotropic meshes are not adequate for stretched meshes. This work focuses on the solution of Laplace's equation, discretized through a Galerkin finite-element formulation on unstructured stretched triangular meshes. A coarsening strategy is proposed and results are discussed. (AN)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1995
Accession Number
ADA296512

Entities

People

  • D. J. Mavriplis
  • E. Morano
  • V. Venkatakrishnan

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Anisotropy
  • Aspect Ratio
  • Boundaries
  • Coefficients
  • Computational Fluid Dynamics
  • Computers
  • Demographic Cohorts
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Geometry
  • Navier Stokes Equations
  • Reynolds Number
  • Triangulation
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)