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Discontinuity Capture in One-Dimensional Space Using the Numerical Manifold Method with High-Order Legendre Polynomials

文献类型：期刊论文

作者Zeng, Yan1,2; Zheng, Hong3; Li, Chunguang1,2
刊名APPLIED SCIENCES-BASEL
出版日期2020-12-01
卷号10期号:24页码:16
关键词numerical manifold method discontinuity capture hydrodynamics advection equation
DOI10.3390/app10249123
英文摘要Traditional methods such as the finite difference method, the finite element method, and the finite volume method are all based on continuous interpolation. In general, if discontinuity occurred, the calculation result would show low accuracy and poor stability. In this paper, the numerical manifold method is used to capture numerical discontinuities, in a one-dimensional space. It is verified that the high-degree Legendre polynomials can be selected as the local approximation without leading to linear dependency, a notorious "nail" issue in Numerical Manifold Method. A series of numerical tests are carried out to evaluate the performance of the proposed method, suggesting that the accuracy by the numerical manifold method is higher than that by the later finite difference method and finite volume method using the same number of unknowns.
WOS研究方向Chemistry ; Engineering ; Materials Science ; Physics
语种英语
WOS记录号WOS:000602842800001
出版者MDPI
源URL[http://119.78.100.198/handle/2S6PX9GI/25401]  
专题中科院武汉岩土力学所
通讯作者Li, Chunguang
作者单位1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
3.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China
推荐引用方式
GB/T 7714		 Zeng, Yan,Zheng, Hong,Li, Chunguang. Discontinuity Capture in One-Dimensional Space Using the Numerical Manifold Method with High-Order Legendre Polynomials[J]. APPLIED SCIENCES-BASEL,2020,10(24):16.
APA Zeng, Yan,Zheng, Hong,&Li, Chunguang.(2020).Discontinuity Capture in One-Dimensional Space Using the Numerical Manifold Method with High-Order Legendre Polynomials.APPLIED SCIENCES-BASEL,10(24),16.
MLA Zeng, Yan,et al."Discontinuity Capture in One-Dimensional Space Using the Numerical Manifold Method with High-Order Legendre Polynomials".APPLIED SCIENCES-BASEL 10.24(2020):16.

入库方式： OAI收割

来源：武汉岩土力学研究所

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