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In this paper, I discuss the challenges in porting hydrodynamic codes tofuturistic exascale HPC systems. In particular, we describe the computationalcomplexities of finite difference method, pseudo-spectral method, and FastFourier Transform (FFT). We show how global data communication among theprocessors brings down the efficiency of pseudo-spectral codes and FFT. It isargued that FFT scaling may saturate at 1/2 million processors. However, finitedifference and finite volume codes scale well beyond million processors, hencethey are likely candidates to be tried on exascale systems. The codes based onspectral-element and Fourier continuation, that are more accurate than finitedifference, could also scale well on such systems.

Challenges in fluid flow simulations using Exascale computing