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A numerical visualization technique based on the hydraulic analogy

  • Jun Liu
  • Jinsheng Cai
  • Dangguo Yang
  • Xiansheng Wang
Regular Paper
  • 10 Downloads

Abstract

The principles of experimental visualization are widely used in developing numerical visualization techniques. Numerous techniques have been created by the simulation of experimental techniques, such as dye, smoke, surface oil, and optical techniques. In this research, a numerical visualization technique is proposed by the computational modeling of the visualization process of hydraulic analogy. First, the principle and implementation of the current technique are introduced and defined, respectively. Then, flow datasets of double Mach reflection and Rayleigh–Taylor instability are used for examining the display effects of the current technique. The effects of physical parameters and specific heat ratio on the current technique are investigated. In addition, the current technique is compared with six other techniques. The comparison indicates that the current technique not only can accurately display shock waves and slip lines, but also has an advantage in stereoscopically and cleanly visualizing vortices. Furthermore, the relationship between the current technique and numerical Schlieren and Shadowgraph is discussed. The current technique is further improved for the presentation of the information of colors and illumination. Finally, the limits of the current technique are highlighted.

Graphical abstract

Keywords

Numerical visualization technique Hydraulic analogy Implementation Display effects 

Notes

Acknowledgements

This study was supported and funded by the State Key Laboratory of Aerodynamics of China (No. SKLA2017-3-4).

References

  1. Buchanan A, Macartney R, Thompson MC et al (2007) Hydraulic analogy study of supersonic rectangular-jet screech control with cylinders. AIAA J 45:1539–1545CrossRefGoogle Scholar
  2. Dauptain A, Cuenot BM, Gicquel LY (2010) Large eddy simulation of stable supersonic jet impinging on flat plate. AIAA J 48:2325–2338CrossRefGoogle Scholar
  3. De Leeuw WC, Pagendarm HG, Post FH et al (1995) Visual simulation of experimental oil-flow visualization by spot noise images from numerical flow simulation. In: Scateni R, van Wijk JJ, Zanarini P (eds) Visualization in scientific computing’95. Springer, Vienna, pp 135–148CrossRefGoogle Scholar
  4. Drebin R A, Carpenter L, Hanrahan P (1988) Volume rendering. In: ACM Siggraph computer graphics, vol 22, no 4. ACM, pp 65–74Google Scholar
  5. Gvozdeva LG, Predvoditeleva OA, Fokeev VP (1968) Double Mach reflection of strong shock waves. Fluid Dyn+ 3:6–11CrossRefGoogle Scholar
  6. Hadjadj A, Kudryavtsev A (2005) Computation and flow visualization in high-speed aerodynamics. J Turbul 6:N16CrossRefGoogle Scholar
  7. Heller HH, Bliss DB (1975) Aerodynamically induced resonance in rectangular cavities—physical mechanisms and suppression concepts. No: AFFDL-TR-74-133Google Scholar
  8. Jeong J, Hussain F (1995) On the identification of a vortex. J Fluid Mech 285:69–94MathSciNetCrossRefGoogle Scholar
  9. Jobard B, Lefer W (1997) Creating evenly-spaced streamlines of arbitrary density. In: Lefer W, Grave M (eds) Visualization in scientific computing’97. Springer, Vienna, pp 43–55CrossRefGoogle Scholar
  10. Klein EJ (1965) Interaction of a shock wave and a wedge-an application of the hydraulic analogy. AIAA J 3:801–808CrossRefGoogle Scholar
  11. Laramee RS, Hauser H, Doleisch H et al (2004) The state of the art in flow visualization: dense and texture-based techniques. Comput Graph Forum 23(2):203–221CrossRefGoogle Scholar
  12. Li GS, Xavier T, Charles H (2008) Physically-based dye advection for flow visualization. Comput Graph Forum 27:727–734CrossRefGoogle Scholar
  13. Liu X, Zhang S, Zhang H et al (2015) A new class of central compact schemes with spectral-like resolution II: hybrid weighted nonlinear schemes. J Comput Phys 284:133–154MathSciNetCrossRefGoogle Scholar
  14. Loh WHT (1959) Hydraulic analogy for two-dimensional and one-dimensional flows. J Aerosp Sci 26:389–391CrossRefGoogle Scholar
  15. Peng Z, Laramee RS (2008) Vector glyphs for surfaces: a fast and simple glyph placement algorithm for adaptive resolution meshes. In: Proceedings of vision, modeling, and visualization 2008, pp 61–70Google Scholar
  16. Post FH, Van Walsum T (1993) Fluid flow visualization. In: Hagen H, Müller H, Nielson GM (eds) Focus on scientific visualization. Springer, Berlin, pp 1–40Google Scholar
  17. Quirk JJ (1998) AMRITA—a computational facility (for CFD modelling). In: VKI 29th CFD series, pp 23–27Google Scholar
  18. Sadarjoen IA, Post FH (2000) Detection, quantification, and tracking of vortices using streamline geometry. Comput Graph UK 24:333–341CrossRefGoogle Scholar
  19. Schneider D, Wiebel A, Carr H et al (2008) Interactive comparison of scalar fields based on largest contours with applications to flow visualization. IEEE Trans Vis Comput Graph 14:1475–1482CrossRefGoogle Scholar
  20. Settles GS, Hargather MJ (2017) A review of recent developments in Schlieren and Shadowgraph techniques. Meas Sci Technol 28:042001CrossRefGoogle Scholar
  21. Shadden SC, Lekien F, Marsden JE (2005) Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D 212:271–304MathSciNetCrossRefGoogle Scholar
  22. Shi J, Zhang YT, Shu CW (2003) Resolution of high order WENO schemes for complicated flow structures. J Comput Phys 186:690–696MathSciNetCrossRefGoogle Scholar
  23. Tamura Y, Fujii K (1990) Visualization for computational fluid dynamics and the comparison with experiments. In: Flight simulation technologies conference and exhibit. No: AIAA-1990-3031Google Scholar
  24. Tropea C, Yarin AL (2007) Springer handbook of experimental fluid mechanics. Springer, BerlinCrossRefGoogle Scholar
  25. Von Funck W, Weinkauf T, Theisel H et al (2008) Smoke surfaces: an interactive flow visualization technique inspired by real-world flow experiments. IEEE Trans Vis Comput Graph 14:1396–1403CrossRefGoogle Scholar
  26. Worthing AG (1912) On the deviation from Lambert’s cosine law of the emission from tungsten and carbon at glowing temperatures. Astrophys J 36:345CrossRefGoogle Scholar
  27. Yates LA (1993) Images constructed from computed flowfields. AIAA J 31:1877–1884CrossRefGoogle Scholar
  28. Zhang S, Jiang S, Zhang YT et al (2009) The mechanism of sound generation in the interaction between a shock wave and two counter-rotating vortices. Phys Fluids 21:076101CrossRefGoogle Scholar

Copyright information

© The Visualization Society of Japan 2018

Authors and Affiliations

  • Jun Liu
    • 1
    • 2
  • Jinsheng Cai
    • 1
  • Dangguo Yang
    • 2
  • Xiansheng Wang
    • 2
  1. 1.School of AeronauticsNorthwestern Polytechnical UniversityXi’anChina
  2. 2.High Speed Aerodynamics InstituteChina Aerodynamics Research and Development CenterMianyangChina

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