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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; Sheu, TWH (reprint author), Natl Taiwan Univ, Dept Engn Sci & Ocean Engn, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan.
Source PublicationNUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
2016
Volume70Issue:2Pages:136-151
ISSN1040-7790
AbstractThe 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.
DOI10.1080/10407790.2015.1097241
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000384030300003
WOS Research AreaThermodynamics ; Mechanics
WOS SubjectThermodynamics ; Mechanics
Funding OrganizationThis 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).
DepartmentLHD气动布局优化与计算方法
ClassificationQ3
RankingFalse
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59730
Collection高温气体动力学国家重点实验室
Corresponding AuthorSheu, TWH (reprint author), Natl Taiwan Univ, Dept Engn Sci & Ocean Engn, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan.
Recommended Citation
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
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.
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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