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Numerical Simulations of Fully Developed Turbulence

JAXA Supercomputer System Annual Report April 2017-March 2018

Report Number: R17EACA05

Subject Category: JSS2 Inter-University Research

PDF available here

  • Responsible Representative: Susumu Goto, Graduate School of Engineering Science, Osaka University
  • Contact Information: Susumu Goto goto@me.es.osaka-u.ac.jp
  • Members: Keita Hanajima, Susumu Goto, Ken Komoda, Jun Kanki, Yutaro Motoori

Abstract

In this project, we are revealing the universality in the statistics and dynamics of fully developed turbulence at sufficiently high Reynolds numbers. For this purpose, we conduct direct numerical simulations of turbulence under different boundary conditions so that we can investigate the small-scale university of the simulated turbulence. We conducted, in this year, the simulations of a turbulent boundary layer, turbulence in a rotating container, and turbulence in a periodic cube.

Reference URL

N/A

Reasons for using JSS2

The main aim of the current study is to reveal the statistics and dynamics of fully developed turbulence. This is one of the most important subjects in aerospace engineering, and it is deeply related to projects in JAXA. In addition, the numerical simulations of turbulence at high Reynolds numbers require a supercomputer with sufficient memory and cores, we have considered the use of the JSS2.

Achievements of the Year

We have conducted direct numerical simulations of the turbulence in a periodic box, turbulence in a precessing container, a turbulent boundary layer; and we have investigated, in detail, the statistics and dynamics of the simulated turbulence. This year, in particular, we have obtained interesting results on the turbulent boundary layer. It is known that the hairpin-like vortices, which are observed (Fig. 1) in the low-Reynolds-number turbulent boundary layer, disappear in regions at higher-Reynolds numbers. Our numerical simulations reveal that the essential difference in the sustaining mechanics of small-scale vortices at low and high Reynolds numbers. This explains the disappearance of the hairpin-like vortices in high-Reynolds-number turbulent boundary layers.

Annual Reoprt Figures for 2017

Fig.1: Hairpin-like vortices in a turbulent boundary layer at low Reynolds numbers.

 

Publications

■ Peer-reviewed papers

1) Susumu Goto, Yuta Saito, Genta Kawahara, Hierarchy of antiparallel vortex tubes in spatially periodic turbulence at high Reynolds numbers, Phys. Rev. Fluids 2 (2017) 064603.

2) Yasufumi Horimoto, Susumu Goto, Sustaining mechanism of small-scale turbulent eddies in a precessing sphere, Phys. Rev. Fluids 2 (2017) 114603.

3) Yasufumi Horimoto, Gabriel Simonet-Davin, Atsushi Katayama, Susumu Goto, Impact of a small ellipticity on the sustainment condition of developed turbulence in a precessing spheroid, Phys. Rev. Fluids 3 (2018) in press.

■ Oral Presentations

1) Susumu Goto, Lennaert van Veen, Statistics of Spatially-Periodic Turbulence Driven by Steady Forces (22nd May 2017, SIAM Conference on Applications of Dynamical Systems)

2) Susumu Goto, Hierarchy of vortices in turbulence at high Reynolds numbers (31st October 2017, OIST seminar)

Usage of JSS2

Computational Information

  • Process Parallelization Methods: MPI
  • Thread Parallelization Methods: OpenMP
  • Number of Processes: 16
  • Elapsed Time per Case: 100.00 hours

Resources Used

 

Fraction of Usage in Total Resources*1(%): 0.29

 

Details

Please refer to System Configuration of JSS2 for the system configuration and major specifications of JSS2.

Computational Resources
System Name Amount of Core Time
(core x hours)
Fraction of Usage*2(%)
SORA-MA 2,336,396.14 0.31
SORA-PP 0.00 0.00
SORA-LM 0.00 0.00
SORA-TPP 0.00 0.00

 

File System Resources
File System Name Storage Assigned
(GiB)
Fraction of Usage*2(%)
/home 580.61 0.40
/data 10,337.83 0.19
/ltmp 13,671.88 1.03

 

Archiver Resources
Archiver Name Storage Used
(TiB)
Fraction of Usage*2(%)
J-SPACE 0.00 0.00

*1: Fraction of Usage in Total Resources: Weighted average of three resource types (Computing, File System, and Archiver).

*2: Fraction of Usage:Percentage of usage relative to each resource used in one year.

JAXA Supercomputer System Annual Report April 2017-March 2018


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