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A Memory-Saving Algorithm for Spectral Method of Three-Dimensional Homogeneous Isotropic Turbulence

Published online by Cambridge University Press:  20 August 2015

Qing-Dong Cai  and
Shiyi Chen
Qing-Dong Cai*
Affiliation:
LTCS and CAPT, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
Shiyi Chen*
Affiliation:
LTCS and CAPT, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218, USA
*
Email:caiqd@pku.edu.en
Corresponding author.Email:syc@coe.pku.edu.en
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Abstract

Homogeneous isotropic turbulence has been playing a key role in the research of turbulence theory. And the pseudo-spectral method is the most popular numerical method to simulate this type of flow fields in a periodic box, where fast Fourier transform (FFT) is mostly effective. However, the bottle-neck in this method is the memory of computer, which motivates us to construct a memory-saving algorithm for spectral method in present paper. Inevitably, more times of FFT are needed as compensation. In the most memory-saving situation, only 6 three-dimension arrays are employed in the code. The cost of computation is increased by a factor of 4, and that 38 FFTs are needed per time step instead of the previous 9 FFTs. A simulation of isotropic turbulence on 20483 grid can be implemented on a 256G distributed memory clusters through this method.

Keywords

80M2276F0576F6565T50Spectral methodhomogeneous isotropic turbulenceDNSFFT
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1152 - 1164
Copyright
Copyright © Global Science Press Limited 2011

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