Influence of order enhancement of the Runge-Kutta method on low-order turbulence statistics of incompressible wall turbulence under a second-order central difference scheme

Shotaro Jomura, Hiroki Suzuki, Yutaka Hasegawa, Shinnosuke Matsuo, Shinsuke Mochizuki

Research output: Contribution to journalConference articlepeer-review

Abstract

In this study, we attempt to understand the effects of the accuracy order of higher-order Runge-Kutta methods on the turbulence statistics of incompressible wall turbulence. A second-order central difference scheme is used to spatially discretize the governing equations, considering the widely used lower-order spatial discretization. The effects of the difference in the order of the Runge-Kutta scheme are investigated using a turbulent channel flow. The turbulence statistics obtained are compared with those reported in three previous studies. Based on our results, we infer that the rms values of the mean velocity, mean pressure, Reynolds stress, and velocity fluctuation of the turbulent channel flow are not affected by the difference in the accuracy order of the higher-order Runge-Kutta method. The fluctuation of the rms values of static pressure obtained by using the fourth-order Runge-Kutta method were consistent with those obtained in previous studies.

Original languageEnglish
Article number012095
JournalJournal of Physics: Conference Series
Volume1592
Issue number1
DOIs
Publication statusPublished - Sep 18 2020
Externally publishedYes
Event3rd International Conference on Physics, Mathematics and Statistics, ICPMS 2020 - Kunming, China
Duration: May 20 2020May 22 2020

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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