On the Combined Performance of Non-local Artificial Boundary Conditions with the New Generation of Advanced Multigrid Flow Solvers

Abstract

We develop theoretically and implement numerically a unified flow solution methodology that combines the advantages relevant to two independent groups of methods in CFD that have recently proven successful: The new factorizable schemes for the equations of hydrodynamics that facilitate the construction of optimally convergent multigrid algorithms, and highly accurate global far-field artificial boundary conditions (ABCs). The primary result that we have obtained is the following. Global ABCs do not hamper the optimal (i.e., unimprovable) multigrid convergence rate pertinent to the solver. At the same time, contrary to the standard local ABCs, the solution accuracy provided by the global ABCs deteriorates very slightly or does not deteriorate at all when the computational domain shrinks, which clearly translates into substantial savings of computer resources.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2000
Accession Number
ADA377150

Entities

People

  • D. Sidilkover
  • S. V. Tsynkov
  • T. W. Roberts

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Conformal Mapping
  • Difference Equations
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • High Resolution
  • Hydrodynamics
  • Incompressible Flow
  • Integrals
  • Poisson Equation

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  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Strategic Security Studies