CAS OpenIR  > 研究所(批量导入)
The standard upwind compact difference schemes for incompressible flow simulations
Fan, Ping1,2
2016-10-01
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume322Issue:OCTPages:74-112
Abstract

Compact 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
SubtypeArticle
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
DOI10.1016/j.jcp.2016.06.030
Indexed BySCI
Language英语
WOS KeywordNAVIER-STOKES EQUATIONS ; DRIVEN CAVITY ; HIGH-ORDER ; PROJECTION METHOD ; BOUNDARY ; INTERPOLATION ; RESOLUTION ; DOMAINS ; FLUID
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
Funding OrganizationNSFC(11172299)
WOS IDWOS:000381585100005
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ipe.ac.cn/handle/122111/21318
Collection研究所(批量导入)
Affiliation1.Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Fan, Ping. The standard upwind compact difference schemes for incompressible flow simulations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,322(OCT):74-112.
APA Fan, Ping.(2016).The standard upwind compact difference schemes for incompressible flow simulations.JOURNAL OF COMPUTATIONAL PHYSICS,322(OCT),74-112.
MLA Fan, Ping."The standard upwind compact difference schemes for incompressible flow simulations".JOURNAL OF COMPUTATIONAL PHYSICS 322.OCT(2016):74-112.
Files in This Item:
File Name/Size DocType Version Access License
The standard upwind (12681KB)期刊论文出版稿限制开放CC BY-NC-SAApplication Full Text
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Fan, Ping]'s Articles
Baidu academic
Similar articles in Baidu academic
[Fan, Ping]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Fan, Ping]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.