Spectral Multigrid Methods for the Solution of Homogeneous Turbulence Problems.

Abstract

New three-dimensional spectral multigrid algorithms are analyzed and implemented to solve the variable coefficient Helmholtz equation. Periodicity is assumed in all three directions which leads to a Fourier collocation representation. Convergence rates are theoretically predicted and confirmed through numerical tests. Residual averaging results in spectral radius of 0.2 for the variable coefficient Poisson equation. In general, non-stationary Richardson must be used for the Helmholtz equation. The algorithm developed are applied to the large-eddy simulation of incompressible isotropic turbulence. Keywords: Navier Stokes equations; Homogeneous turbulence; Spectral collocation; Split method.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1987
Accession Number
ADA189475

Entities

People

  • G. Erlebacher
  • M. Y. Hussaini
  • T. A. Zang

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Fourier Analysis
  • Helmholtz Equations
  • Large Eddy Simulation
  • Mechanical Properties
  • Navier Stokes Equations
  • Numerical Analysis
  • Poisson Equation
  • Stratified Fluids
  • Three Dimensional
  • Turbulence
  • Turbulent Flow
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics