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
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.
Key words:finite-element Galerkin scheme of a high order of accuracy, unstructured adapted grids, numerical solution of Navier–Stokes equations.
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