Geodesic
Visualization of gas dynamics discontinuities in supersonic flows using digital image processing methods
Numerical methods and programming, Tome 20 (2019) no. 3, pp. 237-253.

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A number of approaches to the detection of features of gas dynamics fields obtained with shock-capturing methods are considered. In order to determine the location and type of gas dynamic discontinuities from the numerical solution, the ideas and methods of digital image processing are applied, in particular, the methods of detection of image contours based on the brightness of the image. Conditions of dynamic compatibility are used to classify gas the dynamic discontinuities, such as the normal shock waves, the oblique shock waves, the tangential discontinuities, the contact discontinuities, and the compression waves. The developed approach is not dependent on a specific type of the problem to be solved and is applicable to the calculations obtained with any shock-capturing method, facilitating and speeding up the processing of simulation results and increasing the objectivity of the interpretation of the results. Some examples of visualization of gas dynamic discontinuities arising in the diffraction and refraction of shock waves are given.
Keywords: scientific visualization, computational fluid dynamics, flow, shock wave, contact discontinuity
Mots-clés : diffraction, refraction. 
@article{VMP_2019_20_3_a5,
     author = {P. V. Bulat and K. N. Volkov},
     title = {Visualization of gas dynamics discontinuities in supersonic flows using digital image processing methods},
     journal = {Numerical methods and programming},
     pages = {237--253},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a5/}
}
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P. V. Bulat; K. N. Volkov. Visualization of gas dynamics discontinuities in supersonic flows using digital image processing methods. Numerical methods and programming, Tome 20 (2019) no. 3, pp. 237-253. http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a5/