Three-Dimensional Shock Topology Detection Method via Tomographic Reconstruction
Abstract
:1. Introduction
2. Three-Dimensional Shock Topological Reconstruction Algorithm
2.1. Tomographic Reconstruction Strategy
2.2. Two-Dimensional Shock Topology Recognition Method
2.2.1. Identification of Shock-Cells
2.2.2. Cluster Analysis of Shock-Cells
2.2.3. Identification and Curve Fitting of the Shock Lines
2.3. Three-Dimensional Shock Topology Reconstruction Algorithm
- 1-to-N mapping (Figure 6c): according to the mapping criterion described by Equation (1), key points H and F in slice i−1 are at the same distance to the single key point D in slice i which may appear when the shock wave interaction pattern changes suddenly. In this situation, a virtual key point is created at the same position of D. Thus, can be treated as a shock line with zero length mapped to shock line , and the shock band S2 can be formed by and ;
- 1-to-0 mapping (Figure 6d): the key points E and H of shock line are mapped to J and D, respectively. However, J and D belong to different shock lines in slice i, in other words, there are no key points in slice i−1 mapped to the remaining key points I and C. This case may occur when the shape of the wall or the topology of the shock line in the adjacent slices changes dramatically. An inner key point G is created on shock line , which is equidistant from I and C, and maps both I and C. Accordingly, the two shock bands, S3 and S4, can finally be formed.
3. Numerical Validation
3.1. Planer Shock Regular Reflected on a Side-Inclined Wall
3.2. RR-MR Transition of Conical Shock Reflection
3.3. Interaction between Curved Shock Surfaces
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Classification | Number of Adjacent Clusters | Features |
---|---|---|
End cluster | 1 | Where shock line appears or disappears |
Ordinary cluster | 2 | Most components of shock lines |
Boundary cluster | 1 | Where shock line is adjacent to boundary |
Interaction cluster | ≥3 | Where shock lines interact |
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Lin, M.; Tian, Z.; Chang, S.; Cui, K.; Dai, S. Three-Dimensional Shock Topology Detection Method via Tomographic Reconstruction. Aerospace 2023, 10, 275. https://doi.org/10.3390/aerospace10030275
Lin M, Tian Z, Chang S, Cui K, Dai S. Three-Dimensional Shock Topology Detection Method via Tomographic Reconstruction. Aerospace. 2023; 10(3):275. https://doi.org/10.3390/aerospace10030275
Chicago/Turabian StyleLin, Mengnan, Zhongwei Tian, Siyuan Chang, Kai Cui, and Shulan Dai. 2023. "Three-Dimensional Shock Topology Detection Method via Tomographic Reconstruction" Aerospace 10, no. 3: 275. https://doi.org/10.3390/aerospace10030275
APA StyleLin, M., Tian, Z., Chang, S., Cui, K., & Dai, S. (2023). Three-Dimensional Shock Topology Detection Method via Tomographic Reconstruction. Aerospace, 10(3), 275. https://doi.org/10.3390/aerospace10030275