Accession Number : ADA189475

Title :   Spectral Multigrid Methods for the Solution of Homogeneous Turbulence Problems.

Descriptive Note : Final rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Erlebacher, G ; Zang, T A ; Hussaini, M Y

PDF Url : ADA189475

Report Date : Jul 1987

Pagination or Media Count : 22

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.

Descriptors :   *TURBULENT FLOW, ALGORITHMS, COEFFICIENTS, CONVERGENCE, DIFFERENTIAL EQUATIONS, HOMOGENEITY, INCOMPRESSIBILITY, ISOTROPISM, MEAN, NAVIER STOKES EQUATIONS, POISSON EQUATION, RATES, RESIDUALS, SPLITTING, TURBULENCE, VARIABLES, EDDIES(FLUID MECHANICS), THREE DIMENSIONAL, PERIODIC VARIATIONS

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE