| Development of a symplectic and phase error reducing perturbation finite-difference advection scheme |
| Yu CH; Gao Z(高智) ; Sheu TWH; Sheu, TWH (reprint author), Natl Taiwan Univ, Dept Engn Sci & Ocean Engn, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan.
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| 发表期刊 | NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
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| 2016
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| 卷号 | 70期号:2页码:136-151 |
| ISSN | 1040-7790
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| 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. |
| DOI | 10.1080/10407790.2015.1097241
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| URL | 查看原文
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000384030300003
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| WOS研究方向 | Thermodynamics
; Mechanics
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| WOS类目 | Thermodynamics
; Mechanics
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| 项目资助者 | This research is supported by the National Science Council through Grant NSC 99-2221-E-002-225-MY3 and Fundamental Research Funds for the Central Universities (2014QNA4030).
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| 课题组名称 | LHD气动布局优化与计算方法
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| 论文分区 | Q3
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| 力学所作者排名 | False
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/59730
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| 专题 | 高温气体动力学国家重点实验室
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| 通讯作者 | Sheu, TWH (reprint author), Natl Taiwan Univ, Dept Engn Sci & Ocean Engn, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan. |
推荐引用方式
GB/T 7714 |
Yu CH,Gao Z,Sheu TWH,et al. 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.
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| APA |
Yu CH,高智,Sheu TWH,&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.
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| 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.
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