Algorithm Research & Explore
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1665-1667,1672

Implicit discontinuous finite element algorithm for solving three-dimensional Euler equations

Duan Zhijian
Zhang Tong
Qin Mengmei
Ma Xinrong
School of Mathematics & Information Science, Xianyang Normal University, Xianyang Shaanxi 712000, China

Abstract

In order to solve three-dimensional Euler equations, this work investigated the implicit time discretization discontinuous finite element algorithm. According to discontinuous Galerkin finite element method ideology, this paper established SOR-LU-SGS time discretization discontinuous Galerkin finite element method for three-dimensional inviscid flow fluid coupled with implicit time discretization scheme, local time step technique and multi-grid method. Then, it calculated the classical three-dimensional examples, including subsonic flow around the ONERA M6 wing, delta wing with tip, and DLR-F4 wing-body geometry. The results show that the SOR-LU-SGS implicit algorithm has more advantages than GMRES with less memory, and the convergence rate is more than triple times of the traditional LU-SGS algorithm. For the three-dimensional examples, SOR-LU-SGS scheme not only has good stability and high convergence rate, but also can give accurate flow field information. Compared with the original method, the present scheme improves the efficiency both in iteration steps and in the CPU time, which is very suitable for solving three-dimensional complex flow field.

Foundation Support

国家自然科学基金资助项目(61401383)
陕西省教育厅科研项目(17JK0831)
国家大学生创新创业训练项目(201410722021)
咸阳师范学院科研项目(15XSYK032)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2017.12.0801
Publish at: Application Research of Computers Printed Article, Vol. 36, 2019 No. 6
Section: Algorithm Research & Explore
Pages: 1665-1667,1672
Serial Number: 1001-3695(2019)06-014-1665-03

Publish History

[2019-06-05] Printed Article

Cite This Article

段治健, 张童, 秦梦梅, 等. 三维Euler方程的隐式间断有限元算法 [J]. 计算机应用研究, 2019, 36 (6): 1665-1667,1672. (Duan Zhijian, Zhang Tong, Qin Mengmei, et al. Implicit discontinuous finite element algorithm for solving three-dimensional Euler equations [J]. Application Research of Computers, 2019, 36 (6): 1665-1667,1672. )

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  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
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Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

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