Convergence Acceleration with Hyperbolic Navier-Stokes Equations
JAXA Supercomputer System Annual Report April 2017-March 2018
Report Number: R17ECMP01
Subject Category: Competitive Funding
- Responsible Representative: Takashi Aoyama, Aeronautical Technology Directorate, Numerical Simulation Research Unit
- Contact Information: Atsushi Hashimoto hashimoto.atsushi@jaxa.jp
- Members: Atsushi Hashimoto, Tsukasa Nagao
Abstract
We evaluate the hyperbolic equations for Navier-Stokes equations.
Reference URL
Please refer to 'KAKEN — Research Projects | 双曲型ナビエ・ストークス方程式に基づいた高レイノルズ数遷音速流解析の革新的高速化 (KAKENHI-PROJECT-15K18286)'.
Reasons for using JSS2
We plan a large scale computation in the future.
Achievements of the Year
We studied a laminar flow over a flat plate. (Fig. 1) shows the drag coefficient convergence. We confirmed that the drag computed with the hyperbolic system converges more rapidly than that with the traditional system. (Fig. 2) shows the residual of the streamwise velocity, u, versus the number of iterations and CPU time. A comparison of the CPU time shows that the time for hyperbolic equations is approximately 75% less than that for traditional equations.
Fig.1: Drag coefficient convergence
Fig.2: Residual versus number of iterations and CPU time
Publications
■ Non peer-reviewed papers
1) Nagao, et. al., "A Study on Time Evolution Method for Hyperbolic Navier-Stokes System," AIAA SciTech 2018, AIAA 2018-0370.
Usage of JSS2
Computational Information
- Process Parallelization Methods: N/A
- Thread Parallelization Methods: N/A
- Number of Processes: 1
- Elapsed Time per Case: 1.00 hours
Resources Used
Fraction of Usage in Total Resources*1(%): 0.00
Details
Please refer to System Configuration of JSS2 for the system configuration and major specifications of JSS2.
| System Name | Amount of Core Time(core x hours) | Fraction of Usage*2(%) |
|---|---|---|
| SORA-MA | 0.00 | 0.00 |
| SORA-PP | 0.00 | 0.00 |
| SORA-LM | 0.00 | 0.00 |
| SORA-TPP | 0.00 | 0.00 |
| File System Name | Storage Assigned(GiB) | Fraction of Usage*2(%) |
|---|---|---|
| /home | 000.52 | 0.00 |
| /data | 488.28 | 0.01 |
| /ltmp | 097.66 | 0.01 |
| 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