NASA NTRS · 19880055928
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 a spectral radius of 0.2 for the variable coefficient Poisson equation. In general, non-stationary Richardson must be used for the Helmholtz equation. The algorithms developed are applied to the large-eddy simulation of incompressible isotropic turbulence.
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Erlebacher, G., Hussaini, M. Y., Zang, T. A.. 1988-01-01. Spectral multigrid methods for the solution of homogeneous turbulence problems. https://ntrs.nasa.gov/citations/19880055928
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