A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations 二维拉氏辐射流体力学人为解构造方法

doi:10.11883/bzycj-2017-0199

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Title	A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations 二维拉氏辐射流体力学人为解构造方法
Creator	Liu，Xuezhe; Lin，Zhong; Wang，Ruili; Yu，Yunlong
Date Issued	2019-01-05
Source Publication	Baozha Yu Chongji/Explosion and Shock Waves
ISSN	1001-1455
Volume	39 Issue:1
Abstract	The method of manufactured solutions (MMS) is a fundamental part of code verification for the coupling codes with complex multi-physics process, the MMS for multi-dimension Lagrangian radiation hydrodynamics with large deformation meshes is very sparse yet. In this paper, a new constructed method of manufactured solutions for 2D Lagrangian radiation hydrodynamic equations was proposed based on the derivative relations of physical variables between the Lagrangian space and the Eulerian space. The manufactured solution models without additional source terms in the mass equation could be used to solve diffusion problems on fluid moving meshes and were applied to the verification of the 2D Lagrangian radiation hydrodynamic codes. The numerical results show that the observed order of accuracy matches the formal order of accuracy.
Keyword	2D Lagrangian radiation hydrodynamic equations Code verification Coordinate transformation Eulerian space Lagrangian space Method of manufactured solutions (MMS)
DOI	10.11883/bzycj-2017-0199
URL	View source
Language	中文Chinese
Scopus ID	2-s2.0-85063014938
Citation statistics	Cited Times [WOS]:0 [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10726
Collection	Research outside affiliated institution
Corresponding Author	Wang，Ruili
Affiliation	Institute of Applied Physics and Computational Mathematics,Beijing,100094,China
Recommended Citation GB/T 7714	Liu，Xuezhe,Lin，Zhong,Wang，Ruili等. A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations 二维拉氏辐射流体力学人为解构造方法[J]. Baozha Yu Chongji/Explosion and Shock Waves, 2019, 39(1).
APA	Liu，Xuezhe, Lin，Zhong, Wang，Ruili, & Yu，Yunlong. (2019). A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations 二维拉氏辐射流体力学人为解构造方法. Baozha Yu Chongji/Explosion and Shock Waves, 39(1).
MLA	Liu，Xuezhe,et al."A constructed method of manufactured solutions and code verification for 2D Lagrangian radiation hydrodynamic equations 二维拉氏辐射流体力学人为解构造方法". Baozha Yu Chongji/Explosion and Shock Waves 39.1(2019).

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