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. (Russian. English summary) Zbl 07811568
Zh. Vychisl. Mat. Mat. Fiz. 46, No. 10, 1894-1907 (2006); translation in Comput. Math. Math. Phys. 46, No. 10, 1808-1820 (2006).
Summary: 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.
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
finite-element Galerkin scheme of high order of accuracy; unstructured adapted grids; numerical solution of Navier-Stokes equationsSoftware:
Spalart-AllmarasReferences:
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