Abstract

An algorithm is given for the rapid calculation of the convolution sums appearing in the Fourier-transformed Navier-Stokes equations. In three space dimensions, the new algorithm is a factor of 4 more efficient than previously suggested algorithms.

Keywords

AliasingIsotropyTurbulenceConvolution (computer science)Circular convolutionFourier transformSpace (punctuation)Fast Fourier transformAlgorithmMathematicsMathematical analysisApplied mathematicsFourier analysisPhysicsComputer scienceMechanicsOpticsArtificial intelligenceFractional Fourier transform

Affiliated Institutions

Related Publications

Publication Info

Year
1971
Type
article
Volume
14
Issue
11
Pages
2538-2541
Citations
350
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

350
OpenAlex

Cite This

G. S. Patterson, Steven A. Orszag (1971). Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions. The Physics of Fluids , 14 (11) , 2538-2541. https://doi.org/10.1063/1.1693365

Identifiers

DOI
10.1063/1.1693365