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A New Compact Spectral Scheme for Turbulence Simulations

✍ Scribed by Changhoon Lee; Youngchwa Seo

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 426 KB
Volume: 183
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2002.7201

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✦ Synopsis

We propose a new kind of compact difference scheme for the computation of the first and second derivatives in the simulation of high-Reynolds number turbulent flows. The scheme combines and truncates the pseudospectral representation of derivative for convergence acceleration. Comparison of the wave resolution property with available optimized compact schemes minimizing the prescribed wave resolution error reveals our scheme's superiority for the same size of stencils without introducing optimization parameters. An accompanying boundary scheme is also proposed with the stability analysis. The proposed scheme is tested for the evaluation of derivatives of a function that decays very slowly in the wavenumber space, and for the simulation of three-dimensional isotropic turbulence.

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