Comparative Analysis of Spectral and Pseudospectral Methods for Turbulent Flow Simulations

Abstract

Spectral and pseudospectral methods for simulating turbulent flows are

perfectly studied in this paper. We consider each method's energy spectra,

resolution characteristics, and numerical artifacts. The results reveal that

although both procedures render a good representation of the dynamics of the

inertial subrange, a better resolution at higher wavenumbers and a more gradual

spectral roll-off are performed via the pseudospectral approach. Based on the

quantitative results, doubles resolution capabilities for a specific computer grid

can be made by pseudospectral approach particularly in compression with the

standard spectrum performance. These investigations offer useful guidances for

selecting a numerical approach in turbulence simulations, specifically where

fine-scale resolution is critica