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

作　　者：Qing-Dong Cai Shiyi Chen 

机构地区：[1]LTCS and CAPT,Department of Mechanics and Aerospace Engineering,College of Engineering,Peking University,Beijing 100871,China [2]Department of Mechanical Engineering,The Johns Hopkins University,Baltimore,Maryland 21218,USA

出　　处：《Communications in Computational Physics》2011年第5期1152-1164,共13页计算物理通讯（英文）

基　　金：support from National Natural Science Funds for Distinguished Young Scholar group under Grant No.10921202;National Climb Plan under Grant No.2009CB724100.

摘　　要：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.

关 键 词：Spectral method homogeneous isotropic turbulence DNS FFT 

分 类 号：O35[理学—流体力学]