Wavelet study of localised structures in the ideal and viscous models
Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 41-50

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Localized structures singled out with the use of wavelet based algorithm from the shock capturing calculations for models of Euler and Reynolds with $k-\varepsilon$ turbulence model are analyzed. It is demonstrated that in the viscous model localized structures corresponding to the shock waves in Euler model are located with high accuracy. In the viscous model additional structures corresponding to vortices, to the boundary and mixing layers are located.
Keywords: wavelets, singularity detection, gas dynamic.
@article{MM_2011_23_1_a3,
     author = {A. L. Afendikov and A. E. Lutsky and A. V. Plenkin},
     title = {Wavelet study of localised structures in the ideal and viscous models},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {41--50},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_1_a3/}
}
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A. L. Afendikov; A. E. Lutsky; A. V. Plenkin. Wavelet study of localised structures in the ideal and viscous models. Matematičeskoe modelirovanie, Tome 23 (2011) no. 1, pp. 41-50. http://geodesic.mathdoc.fr/item/MM_2011_23_1_a3/