Abstract
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.
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Original Russian Text © A.V. Wolko, S.V. Lyapunov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 10, pp. 1894–1907.
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Wolkov, A.V., Lyapunov, S.V. Investigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier-Stokes and Reynolds equations on unstructured adapted grids. Comput. Math. and Math. Phys. 46, 1808–1820 (2006). https://doi.org/10.1134/S0965542506100162
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DOI: https://doi.org/10.1134/S0965542506100162