Development of a symplectic and phase error reducing perturbation finite-difference advection scheme

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	Development of a symplectic and phase error reducing perturbation finite-difference advection scheme
	Yu CH; Gao Z(高智); Sheu TWH
刊名	NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
	2016
通讯作者邮箱	twhsheu@ntu.edu.tw
卷号	70 期号:2 页码:136-151
ISSN号	1040-7790
通讯作者	Sheu, TWH (reprint author), Natl Taiwan Univ, Dept Engn Sci & Ocean Engn, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan.
产权排序	[Yu, C. H.] Zhejiang Univ, Dept Ocean Sci & Engn, Hangzhou, Zhejiang, Peoples R China; [Gao, Z.] Chinese Acad Sci, Inst Mech, Beijing 100864, Peoples R China; [Sheu, Tony W. H.] Natl Taiwan Univ, Dept Engn Sci & Ocean Engn, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan; [Sheu, Tony W. H.] Natl Taiwan Univ, Inst Appl Math Sci, Taipei, Taiwan; [Sheu, Tony W. H.] Natl Taiwan Univ, Ctr Adv Study Theoret Sci, Taipei, Taiwan
中文摘要	The aim of this work is to develop a new scheme for solving the pure advection equation. This scheme formulated within the perturbation finite-difference context not only conserves symplecticity but also preserves the numerical dispersion relation equation. The employed symplectic integrator of second-order accuracy in time enables calculation of a long-time accurate solution in the sense that the Hamiltonian is conserved at all times. The generalized high-order spatially accurate perturbation difference scheme optimizes numerical phase accuracy through the minimization of the difference between the numerical and exact dispersion relation equations. Our proposed new class of phase error reducing perturbation difference schemes can in addition locally capture discontinuities underlying the concept of applying a shope/flux limiter. The high-order spatial accuracy can be recovered in a smooth region. Besides the Fourier analysis of the discretization errors, anisotropy and dispersion analyses are both conducted on the dispersion-relation and symplecticity-preserving pure advection scheme to shed light on the distinguished nature of the proposed scheme. Numerical tests are carried out and the results compare well with the exact solutions, demonstrating the efficiency, accuracy, and the discontinuity-resolving ability using the proposed class of high-resolution perturbation finite-difference schemes.
分类号	Q3
类目[WOS]	Thermodynamics ; Mechanics
研究领域[WOS]	Thermodynamics ; Mechanics
收录类别	SCI ; EI
原文出处	http://dx.doi.org/10.1080/10407790.2015.1097241
语种	英语
WOS记录号	WOS:000384030300003
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/59730]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Yu CH,Gao Z,Sheu TWH. Development of a symplectic and phase error reducing perturbation finite-difference advection scheme[J]. NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS,2016,70(2):136-151.
APA	Yu CH,高智,&Sheu TWH.(2016).Development of a symplectic and phase error reducing perturbation finite-difference advection scheme.NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS,70(2),136-151.
MLA	Yu CH,et al."Development of a symplectic and phase error reducing perturbation finite-difference advection scheme".NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 70.2(2016):136-151.