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In this paper we present scaling results of a FFT library, FFTK, and apseudospectral code, Tarang, on grid resolutions up to $8192^3$ grid using65536 cores of Blue Gene/P and 196608 cores of Cray XC40 supercomputers. Weobserve that communication dominates computation, more so on the Cray XC40. Thecomputation time scales as $T_\mathrm{comp} \sim p^{-1}$, and the communicationtime as $T_\mathrm{comm} \sim n^{-\gamma_2}$ with $\gamma_2$ ranging from 0.7to 0.9 for Blue Gene/P, and from 0.43 to 0.73 for Cray XC40. FFTK, and thefluid and convection solvers of Tarang exhibit weak as well as strong scalingnearly up to 196608 cores of Cray XC40. We perform a comparative study of theperformance on the Blue Gene/P and Cray XC40 clusters.

Scaling of a Fast Fourier Transform and a Pseudo-spectral Fluid Solver up to 196608 cores