Geodesic
Streamline of a plate with small periodic irregularities
Matematičeskoe modelirovanie, Tome 15 (2003) no. 11, pp. 91-109

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We consider streamline of a semiinfinite plate with periodic irregularities at high Reynolds numbers $\mathrm{Re}$ by viscous incompressible liquid. Characteristic scale of a plate profile is in accordance with a small parameter $\varepsilon=\mathrm{Re}^{-1/2}$. We received the analytical-numerical solution of the problem described above using the method of asymptotic analysis with the small parameter $\varepsilon$ and further solution of the boundary problem by numerical method. It has been proved that the solution will have three-deck structure. Furthermore, we numerically examined how a plate profile amplitude influenced the streamline process stationarity. 
@article{MM_2003_15_11_a7,
     author = {V. G. Danilov and K. Yu. Rossinskii},
     title = {Streamline of a plate with small periodic irregularities},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {91--109},
     publisher = {mathdoc},
     volume = {15},
     number = {11},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_11_a7/}
}
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V. G. Danilov; K. Yu. Rossinskii. Streamline of a plate with small periodic irregularities. Matematičeskoe modelirovanie, Tome 15 (2003) no. 11, pp. 91-109. http://geodesic.mathdoc.fr/item/MM_2003_15_11_a7/