Uncertainty Quantification of Reduced-Precision Time Series in Turbulent Channel Flow

Martin Karp, Felix Liu, Ronith Stanly, Saleh Rezaeiravesh, Niclas Jansson, Philipp Schlatter, Stefano Markidis

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

With increased computational power through the use of arithmetic in low-precision, a relevant question is how lower precision affects simulation results, especially for chaotic systems where analytical round-off estimates are non-trivial to obtain. In this work, we consider how the uncertainty of the time series of a direct numerical simulation of turbulent channel flow at Ret = 180 is affected when restricted to a reduced-precision representation. We utilize a non-overlapping batch means estimator and find that the mean statistics can, in this case, be obtained with significantly fewer mantissa bits than conventional IEEE-754 double precision, but that the mean values are observed to be more sensitive in the middle of the channel than in the near-wall region. This indicates that using lower precision in the near-wall region, where the majority of the computational efforts are required, may benefit from low-precision floating point units found in upcoming computer hardware.

Original languageEnglish
Title of host publicationProceedings of 2023 SC Workshops of the International Conference on High Performance Computing, Network, Storage, and Analysis, SC Workshops 2023
PublisherAssociation for Computing Machinery
Pages387-390
Number of pages4
ISBN (Electronic)9798400707858
DOIs
Publication statusPublished - 12 Nov 2023
Event2023 International Conference on High Performance Computing, Network, Storage, and Analysis, SC Workshops 2023 - Denver, United States
Duration: 12 Nov 202317 Nov 2023

Publication series

NameACM International Conference Proceeding Series

Conference

Conference2023 International Conference on High Performance Computing, Network, Storage, and Analysis, SC Workshops 2023
Country/TerritoryUnited States
CityDenver
Period12/11/2317/11/23

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