A numerical visualization technique based on the hydraulic analogy

  • Jun Liu
  • Jinsheng CaiEmail author
  • Dangguo Yang
  • Xiansheng Wang
Regular Paper


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


Numerical visualization technique Hydraulic analogy Implementation Display effects 



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


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Copyright information

© The Visualization Society of Japan 2018

Authors and Affiliations

  • Jun Liu
    • 1
    • 2
  • Jinsheng Cai
    • 1
    Email author
  • 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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