
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 threedimensional 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, nonstationary Richardson must be used for the Helmholtz equation. The algorithm developed are applied to the largeeddy 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