Agglomeration Multigrid for the Three-Dimensional Euler Equations

Abstract

A multigrid procedure that makes use of coarse grids generated by the agglomeration of control volumes is advocated as a practical approach for solving the three-dimensional Euler equations on unstructured grids about complex configurations. It is shown that the agglomeration procedure can be tailored to achieve certain coarse grid properties such as the sizes of the coarse grids and aspect ratios of the coarse grid cells. The agglomeration is done as a preprocessing step and runs in linear time. The implications for multigrid of using arbitrary polyhedral coarse grids are discussed. The agglomeration multigrid technique compares very favorably with existing multigrid procedures both in terms of convergence rates and elapsed times. The main advantage of the present approach is the ease with which coarse grids of any desired degree of coarseness may be generated in three dimensions, without being constrained by considerations of geometry. Inviscid flows over a variety of complex configurations are computed using the agglomeration multigrid strategy. Multigrid, Unstructured, Complex configurations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA277557

Entities

People

  • D. J. Mavriplis
  • V. Venkatakrishnan

Tags

DTIC Thesaurus Topics

  • Aspect Ratio
  • Computational Fluid Dynamics
  • Computations
  • Convergence
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Integrals
  • Inviscid Flow
  • Three Dimensional
  • Transonic Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Regression Analysis.