Efficient spatial second-order precision compressible fluid calculation method with resolution equivalent to fifth-order precision
JAXA Supercomputer System Annual Report February 2023-January 2024
Report Number: R23ECMP26
Subject Category: Competitive Funding
- Responsible Representative: Kazuyuki Nakakita, Aviation Technology Directorate, Aircraft Lifecycle Innovation Hub
- Contact Information: Andrea Sansica(sansica.andrea@jaxa.jp)
- Members: Gaku Fukushima, Keiichi Kitamura, David Lusher, Tomohiro Mamashita, Andrea Sansica
Abstract
In this study, we move from the MUSCL framework and use the MUSCL-THINC method, which gives the physical quantity distribution within a numerical cell as a hyperbolic function, allowing to sharply capture shock wave discontinuities.
Reference URL
N/A
Reasons and benefits of using JAXA Supercomputer System
The effectiveness of the method will be investigated by applying it to various flow configurations such as multiphase flow, electromagnetic fluid, and transonic buffet. These simulations require significant computational power, and therefore the use of JAXA supercomputer is necessary.
Achievements of the Year
The THINC method was originally proposed for multiphase flow interfaces, but preliminary calculations have shown that it is also effective for suppressing the diffusion of weak shock waves such as Mach 1.01. Although this method is an efficient spatial second-order precision method, it achieves a numerical solution with a resolution equivalent to the spatial fifth-order precision, and reduces three to five times the computational cost.
An improved MUSCL-THINC hybrid approach was explored to solve single-phase compressible steady and unsteady flows. We found that the use of THINC for strong shock waves results in oscillatory solutions. To overcome this defect, a new weight parameter which is sensitive to strongness of shock waves is implemented. The new method robustly solved a steady compressible flow featuring strong shock waves while maintaining high-resolution features for weak shock waves and density discontinuities.
Publications
– Peer-reviewed papers
Gaku Fukushima, Keiichi Kitamura, “Improved hybrid approach of monotonic upstream-centered scheme for conservation laws and discontinuity sharpening technique for steady and unsteady flows”, Physics of Fluids, accepted
– Oral Presentations
1)Gaku Fukushima, Keiichi Kitamura, “MUSCL and THINC hybrid scheme for strong and very weak shock waves in steady and unsteady flows,” 76th Annual Meeting of the Division of Fluid Dynamics, J15.00007, Washingtons DC, USA, 2023.
2) Gaku Fukushima, Keiichi Kitamura, Akihiro Sasoh, “Improvement of Very Weak Shock Capturing Using Hybrid MUSCL-THINC,” The 34th International Symposium on Shock Waves, T11-0373, Daegu, Korea, 2023.
3) Gaku Fukushima, Keiichi Kitamura, “Hybridization method of MUSCL and THINC for appropriate computation of strong and weak shock waves”, 37th CFD Symposium, 3401-04-04, Nagoya, Japan, 2023
Usage of JSS
Computational Information
- Process Parallelization Methods: MPI
- Thread Parallelization Methods: N/A
- Number of Processes: 48 – 480
- Elapsed Time per Case: 24 Hour(s)
JSS3 Resources Used
Fraction of Usage in Total Resources*1(%): 0.00
Details
Please refer to System Configuration of JSS3 for the system configuration and major specifications of JSS3.
System Name | CPU Resources Used(Core x Hours) | Fraction of Usage*2(%) |
---|---|---|
TOKI-SORA | 26940.27 | 0.00 |
TOKI-ST | 830.41 | 0.00 |
TOKI-GP | 0.00 | 0.00 |
TOKI-XM | 42.19 | 0.02 |
TOKI-LM | 0.00 | 0.00 |
TOKI-TST | 0.00 | 0.00 |
TOKI-TGP | 0.00 | 0.00 |
TOKI-TLM | 0.00 | 0.00 |
File System Name | Storage Assigned(GiB) | Fraction of Usage*2(%) |
---|---|---|
/home | 244.17 | 0.20 |
/data and /data2 | 21263.89 | 0.13 |
/ssd | 2231.11 | 0.21 |
Archiver Name | Storage Used(TiB) | Fraction of Usage*2(%) |
---|---|---|
J-SPACE | 49.80 | 0.18 |
*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.
ISV Software Licenses Used
ISV Software Licenses Used(Hours) | Fraction of Usage*2(%) | |
---|---|---|
ISV Software Licenses(Total) | 3.35 | 0.00 |
*2: Fraction of Usage:Percentage of usage relative to each resource used in one year.
JAXA Supercomputer System Annual Report February 2023-January 2024