nvestigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier–Stokes and Reynolds equations on unstructured adapted grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1894-1907

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The finite element discontinuous Galerkin method is implemented for solving the Navier–Stokes and Reynolds equations on unstructured adapted grids. A detailed description of the method is given. In problems concerning laminar flow around a cylinder and turbulent flow about a flat plate, solutions with a high order of accuracy are presented. Examples of the calculation of a viscous transonic flow around an isolated airfoil and the subsonic flow around a three-element configuration are considered. These important application problems are solved using the adapted grid technique.
@article{ZVMMF_2006_46_10_a15,
     author = {A. V. Volkov and S. V. Lyapunov},
     title = {nvestigation of the efficiency of using numerical schemes of a~high order of accuracy for solving {Navier{\textendash}Stokes} and {Reynolds} equations on unstructured adapted grids},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1894--1907},
     publisher = {mathdoc},
     volume = {46},
     number = {10},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a15/}
}
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A. V. Volkov; S. V. Lyapunov. nvestigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier–Stokes and Reynolds equations on unstructured adapted grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1894-1907. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a15/