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    Challenges in fluid flow simulations using Exascale computing

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    Type
    Preprint
    Authors
    Verma, Mahendra K.
    KAUST Grant Number
    k1052
    Date
    2019-11-22
    Permanent link to this record
    http://hdl.handle.net/10754/660749
    
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    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.
    Sponsors
    The author thanks all the co-developers of FFTK, TARANG, and finite difference code of our group. Some of the key contributors to the codes are Anando Chatterjee, Rosan Samuel, Shaswat Bhattacharya, Ravi Samtaney, Fahad Anwer, Gaurav Gautam, Abhishek Kumar, Mani Chandra, Akash Anand, Awanish Tiwari, and Soumyadeep Chatterjee. In addition, author is grateful to Akash Anand, Samar Aseeri, Rooh Khurram, Bilel Hadri, V. Balaji, and Preeti Malakar for discussion and ideas; and to Ritu Arora, Venkatesh Shenoy, and Amitava Majumdar for organzing wonderful conference “Software Challenges to Exascale Computing (SCEC)”. Funding: This study was funded by research grants INT/RUS/RSF/P-03 by the Department of Science and Technology India. Our numerical simulations were performed on Cray XC40 (Shaheen II) and Blue Gene/P (Shaheen I) at KAUST supercomputing laboratory, Saudi Arabia, through project k1052
    Publisher
    arXiv
    arXiv
    1911.10020
    Additional Links
    https://arxiv.org/pdf/1911.10020
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