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http://worldcat.org/entity/work/id/2082512671

Spectral Multigrid Methods for the Solution of Homogeneous Turbulence Problems

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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  • "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."@en

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  • "Spectral Multigrid Methods for the Solution of Homogeneous Turbulence Problems"@en

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