Numerical Analysys on Transition Shock Wave Oscillation to Pulsation around Forward-Facing Concave Cavity
JAXA Supercomputer System Annual Report April 2017-March 2018
Report Number: R17EACA23
Subject Category: JSS2 Inter-University Research
- Responsible Representative: Toshiharu Mizukaki, Dept. of Aeronautics and Astronautics, Tokai University
- Contact Information: Toshiharu Mizukaki mizukaki@keyaki.cc.u-tokai.ac.jp
- Members: Toshiharu Mizukaki, Taro Odagiri, Yusuke Higo, Akari Kato
Abstract
Around the supersonic parachute for Mars probing, drastic transformation of shock-wave oscillation has been observed. In the worst case, the shock waves oscillation deforms the parachute to collapse. In this research, we try to revile the mechanism of transformation of the shock waves and develop the design methodology for oscillation-free parachute. At the first step of this research, simplified model of the supersonic parachute is investigated to compare to experimental result.
Reference URL
Please refer to ‘mizukaki – 航空宇宙学専攻‘.
Reasons for using JSS2
To carry out the computation on flow analysis around the model used in the research subject which include shock waves oscillation, we must solve three-dimensional unsteady compressible flow with microsecond time-resolution. Therefore, we decided that three-dimensional compressible solver, FaSTAR, which had been developed by JAXA, is one of the proper solver for our subject. To analyze shock waves oscillation around our model in three dimensional space and with fine time resolution, more than 10 million mesh must be needed. Farther more, parallel computing was needed to reduce computation time because more that 10 cases were needed to calculate in this subject. All the things described above were our motivation that we needed JSS2.
Achievements of the Year
In this year, the effects of the ratio of depth (L) of the cavity to diameter (D), L/D on the mode of shock wave oscillation were examined. This analysis has been done to clarify density/pressure profile inside the cavity which experimental method can not visualize. The comparison of density profile between experimental result and numerical one helped us to understand mechanism of shock wave oscillation in detail.
The values of L/D were set for 0.0, 0.2, 0.5, 1.0, and 2.0. Also, spike was installed at bottom of the cavity to generate turbulence in front of detached shock wave to compare behavior of the detached shock wave in the case of quiet flow. Ratio of diameter (d) and outside length (l) of the spike to the cavity, d/D, l/D, were 0.12 and 2.5, respectively. Typical computational domain is shown in FIg.1. The reason for l/D = 2.5 is based on the previous paper that had reported that shock wave oscillation would not occur under the condition l/D more than 2.0.
Computational results said that behavior of shock wave oscillation shifted from oscillation to pulsation at L/D > 0.5 for Mach2.0, and L/D > 1.0 for Mach3.0. The results reproduced the experimental results well. Figure 2 shows one of the numerical results.
Fig.2(video): Numerical result on L/D = 0.5, Mach3.0
Fig.3(video): Numerical result on L/D = 1.0, Mach3.0
Publications
■ Peer-reviewed papers
1) Mizukaki, T. and Yamada, K.*Transition Behavior of Shock Waves from Oscillation to Pulsation around a Forward-Facing Concave with Spike, AIAA (2018)
Usage of JSS2
Computational Information
- Process Parallelization Methods: MPI
- Thread Parallelization Methods: N/A
- Number of Processes: 32
- Elapsed Time per Case: 15.00 hours
Resources Used
Fraction of Usage in Total Resources*1(%): 0.01
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 | 25,933.40 | 0.00 |
SORA-PP | 179.05 | 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 | 491.14 | 0.34 |
/data | 9,908.68 | 0.18 |
/ltmp | 4,882.81 | 0.37 |
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