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PECULIARITIES OF DGM APPLICATION FOR SOLUTION OF 3D EULER AND NAVIER-STOKES EQUATIONS ON UNSTRUCTURED HEXAHEDRAL GRIDS

巻 40, 発行 6, 2009, pp. 695-718
DOI: 10.1615/TsAGISciJ.v40.i6.60
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要約

A discontinuous Galerkin method (DGM) reported earlier in Refs. [1-3] has been developed for 3D Euler and Navier–Stokes equations on unstructured hexahedral grids. The algorithm enables calculations up to the fourth order and consideration of the curvature of the boundary. An ambitious approach combining the p-multigrid method and the conventional agglomeration h-multigrid method is applied as the convergence acceleration method. A variety of test cases is applied to validate the order of accuracy and to evaluate memory and central processing unit (CPU) requirements. Test cases shown in this paper cover the inviscid flow around a cylinder, the laminar flat plate, 3D flow in a bend duct, 3D turbulent flow over an isolated wing, as well as an aero-acoustic test case for the linearized Euler equations for propagation of a 3D acoustic wave. Results of calculations and CPU requirements are compared with the results obtained through the finite volume method.

によって引用された
  1. Ladonkina Marina E., Nekliudova Olga A., Tishkin Vladimir F., Limiting Functions Affecting the Accuracy of Numerical Solution Obtained by Discontinuous Galerkin Method, in Advances in Theory and Practice of Computational Mechanics, 173, 2020. Crossref

  2. Chernyshev Sergey L., A review of Russian computer modeling and validation in aerospace applications, Progress in Aerospace Sciences, 128, 2022. Crossref

  3. Bragin M. D., Kovyrkina O. A., Ladonkina M. E., Ostapenko V. V., Tishkin V. F., Khandeeva N. A., Combined Numerical Schemes, Computational Mathematics and Mathematical Physics, 62, 11, 2022. Crossref

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