Geodesic
Self-similar decay of the momentumless turbulent wake in a passive stratified medium
Matematičeskoe modelirovanie, Tome 27 (2015) no. 1, pp. 84-98

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Mathematical model of the far momentumless turbulent wake in a passive stratified medium based on the semi-empirical $k-\varepsilon$ model of turbulence is considered. The group-theoretical analysis of the model is performed. The model is reduced to a system of ordinary differential equations by the $B$-determining equations method. The system of ordinary differential equations is solved numerically. A comparison of the constructed solution with the results of numerical simulation of the model at a large distance from the body is performed. A close agreement is obtained.
Keywords: mathematical model of the far momentumless turbulent wake in a passive stratified medium, $k-\varepsilon$ model of turbulence, group-theoretical analysis, $B$-determining equations method, self-similar degeneration, numerical modeling. 
@article{MM_2015_27_1_a5,
     author = {O. V. Kaptsov and A. V. Fomina and G. G. Chernykh and A. V. Schmidt},
     title = {Self-similar decay of the momentumless turbulent wake in a passive stratified medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {84--98},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_1_a5/}
}
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O. V. Kaptsov; A. V. Fomina; G. G. Chernykh; A. V. Schmidt. Self-similar decay of the momentumless turbulent wake in a passive stratified medium. Matematičeskoe modelirovanie, Tome 27 (2015) no. 1, pp. 84-98. http://geodesic.mathdoc.fr/item/MM_2015_27_1_a5/