Recent Advances in Achieving Textbook Multigrid Efficiency for Computational Fluid Dynamics Simulations

Abstract

Recent advances in achieving textbook multigrid efficiency for fluid simulations are presented. Textbook multigrid efficiency is defined as attaining the solution to the governing system of equations in a computational work which is a small multiple of the operation counts associated with discretizing the system. Strategies are reviewed to attain this efficiency by exploiting the factorizability properties inherent to a range of fluid simulations, including the compressible Navier-Stokes equations. factorizability is used to separate the elliptic and hyperbolic factors contributing to the target system; each of the factors can then be treated individually and optimally. Boundary regions and discontinuities are addressed with separate (local) treatments. New formulations and recent calculations demonstrating the attainment of textbook efficiency for aerodynamic simulations are shown.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2002
Accession Number
ADA402820

Entities

People

  • Achi Brandt
  • Boris Diskin
  • James L. Thomas

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Discontinuities
  • Dynamics
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Mach Number
  • Navier Stokes Equations
  • Pressure Distribution
  • Reynolds Number
  • Simulations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design