A novel boundary constrained reconstruction method for unstructured finite volume method of Euler equations

doi:10.1063/5.0240141

	A novel boundary constrained reconstruction method for unstructured finite volume method of Euler equations
	Su, Hongxing 1; Chen, Zedong 2; Wei, Yanxin 3; Chang SY(常思源)4 ; Liu, Jun 1
通讯作者	Liu, Jun([email protected])
发表期刊	PHYSICS OF FLUIDS
	2024-12-01
卷号	36 期号:12 页码:28
ISSN	1070-6631
摘要	For the second-order cell-centered unstructured finite volume method, the variables are linearly distributed inside the grid cell. Classical methods use a first-order extrapolation process in calculating the boundary values, which can lead to loss of second-order accuracy at the boundary. In order to solve the problem, a novel boundary constrained reconstruction method is proposed for boundary values in the unstructured finite volume method. This method first solves for all cell-centered gradients using the weighted least squares method. Subsequently, the boundary cell center gradient is used to reconstruct the boundary face center values. These reconstructed boundary values, corrected by boundary conditions, are then added to the boundary cell gradient calculation stencils to recalculate the boundary cell center gradient. The above-mentioned steps are repeated iteratively, stopping when the boundary face center values stabilize. Numerical case validation shows that this method is able to ensure linear distribution of variables within the boundary cells of the second-order cell-centered unstructured finite volume method, thereby recovering the accuracy of boundary cell calculations.
DOI	10.1063/5.0240141
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001379508500019
关键词[WOS]	DISCRETIZATIONS ; SOLVERS
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
论文分区	一类/力学重要期刊
力学所作者排名	3+
RpAuthor	Liu, Jun
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/97974
专题	高温气体动力学国家重点实验室
作者单位	1.Dalian Univ Technol, Sch Mech & Aerosp Engn, Dalian 116024, Peoples R China; 2.Beijing Inst Astronaut Syst Engn, Beijing 100190, Peoples R China; 3.AVIC First Aircraft Inst, Xian 710089, Peoples R China; 4.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Su, Hongxing,Chen, Zedong,Wei, Yanxin,et al. A novel boundary constrained reconstruction method for unstructured finite volume method of Euler equations[J]. PHYSICS OF FLUIDS,2024,36,12,:28.Rp_Au:Liu, Jun
APA	Su, Hongxing,Chen, Zedong,Wei, Yanxin,常思源,&Liu, Jun.(2024).A novel boundary constrained reconstruction method for unstructured finite volume method of Euler equations.PHYSICS OF FLUIDS,36(12),28.
MLA	Su, Hongxing,et al."A novel boundary constrained reconstruction method for unstructured finite volume method of Euler equations".PHYSICS OF FLUIDS 36.12(2024):28.