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This article is cited in 2 scientific papers (total in 2 papers)
Mesh curving and refinement based on cubic Bézier surface for high-order discontinuous Galerkin methods
Shu-Jie Li Beijing Computational Science Research Center (CSRC) Building 9 Zhongguanchun Park II 100193 Beijing, China
Abstract:
In this paper, three-dimensional mesh curving and refinement methods are examined for high-order flow simulations with discontinuous Galerkin (DG) methods on hybrid grids. The mesh curving algorithm converts linear surface elements to quadratic ones with the cubic Bézier surface reconstruction. The effects of mesh curving on the impacts of DG solutions of the Euler and Navier–Stokes equations are investigated. Numerical results show that significant enhancements of accuracy and robustness can be gained for DG solutions of smooth and discontinuous flow fields. Additionally, a curved mesh refinement algorithm is also realized by inquiring the midpoints of edges and faces of the reconstructed quadratic elements. With this method, up to 0.9 billons curved elements are successfully generated around the DLR-F6 wing/body/nacelle/pylon configuration.
Key words:
mesh curving, mesh refinement, discontinuous Galerkin method.
Received: 26.06.2019 Revised: 26.06.2019 Accepted: 05.08.2019
Citation:
Shu-Jie Li, “Mesh curving and refinement based on cubic Bézier surface for high-order discontinuous Galerkin methods”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2130; Comput. Math. Math. Phys., 59:12 (2019), 2080–2092
Linking options:
https://www.mathnet.ru/eng/zvmmf11003 https://www.mathnet.ru/eng/zvmmf/v59/i12/p2130
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