TY - JOUR
T1 - A Memory-Saving Algorithm for Spectral Method of Three-Dimensional Homogeneous Isotropic Turbulence
AU - Qing-Dong Cai & Shiyi Chen
JO - Communications in Computational Physics
VL - 5
SP - 1152
EP - 1164
PY - 2011
DA - 2011/05
SN - 9
DO - http://doi.org/10.4208/cicp.191209.111110s
UR - https://global-sci.org/intro/article_detail/cicp/7543.html
KW - 
AB - <p style="text-align: justify;">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 2048<sup>3</sup> grid can be implemented on a 256G distributed memory
clusters through this method.</p>