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The standard upwind compact difference schemes for incompressible flow simulations
Fan P(范平); Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China.; Fan, P (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China.
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
2016
Volume322Pages:74-112
ISSN0021-9991
AbstractCompact difference schemes have been used extensively for solving the incompressible Navier-Stokes equations. However, the earlier formulations of the schemes are of central type (called central compact schemes, CCS), which are dispersive and susceptible to numerical instability. To enhance stability of CCS, the optimal upwind compact schemes (OUCS) are developed recently by adding high order dissipative terms to CCS. In this paper, it is found that OUCS are essentially not of the upwind type because they do not use upwind-biased but central type of stencils. Furthermore, OUCS are not the most optimal since orders of accuracy of OUCS are at least one order lower than the maximum achievable orders. New upwind compact schemes (called standard upwind compact schemes, SUCS) are developed in this paper. In contrast to OUCS, SUCS are constructed based completely on upwind-biased stencils and hence cangain adequate numerical dissipation with no need for introducing optimization calculations. Furthermore, SUCS can achieve the maximum achievable orders of accuracy and hence be more compact than OUCS. More importantly, SUCS have prominent advantages on combining the stable and high resolution properties which are demonstrated from the global spectral analyses and typical numerical experiments. (C) 2016 Elsevier Inc. All rights reserved.
KeywordCompact Difference Scheme Upwind Scheme Upwind Compact Scheme Incompressible Flows Lid-driven Cavity
DOI10.1016/j.jcp.2016.06.030
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000381585100005
WOS KeywordCompact difference scheme ; Upwind scheme ; Upwind compact scheme ; Incompressible flows ; Lid-driven cavity
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
Funding OrganizationThis work is supported by NSFC (11172299).
DepartmentLMFS水环境流体力学(LEM)
Classification一类
RankingFalse
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59732
Collection流固耦合系统力学重点实验室
Corresponding AuthorFan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China.; Fan, P (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Fan P,Fan, P ,Fan, P . The standard upwind compact difference schemes for incompressible flow simulations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,322:74-112.
APA 范平,Fan, P ,&Fan, P .(2016).The standard upwind compact difference schemes for incompressible flow simulations.JOURNAL OF COMPUTATIONAL PHYSICS,322,74-112.
MLA 范平,et al."The standard upwind compact difference schemes for incompressible flow simulations".JOURNAL OF COMPUTATIONAL PHYSICS 322(2016):74-112.
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