Challenges in fluid flow simulations using Exascale computing

2019/11/22 by Verma, Mahendra K. · 1 citation
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Soft Condensed Matter (cond-mat.soft)

paper · doi:10.48550/arxiv.1911.10020

Abstract

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

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