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The standard upwind compact difference schemes for incompressible flow simulations
Fan, Ping1,2
2016-10-01
发表期刊JOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
卷号322期号:OCT页码:74-112
摘要

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.

关键词Compact Difference Scheme Upwind Scheme Upwind Compact Scheme Incompressible Flows Lid-driven Cavity
文章类型Article
WOS标题词Science & Technology ; Technology ; Physical Sciences
DOI10.1016/j.jcp.2016.06.030
收录类别SCI
语种英语
关键词[WOS]NAVIER-STOKES EQUATIONS ; DRIVEN CAVITY ; HIGH-ORDER ; PROJECTION METHOD ; BOUNDARY ; INTERPOLATION ; RESOLUTION ; DOMAINS ; FLUID
WOS研究方向Computer Science ; Physics
WOS类目Computer Science, Interdisciplinary Applications ; Physics, Mathematical
项目资助者NSFC(11172299)
WOS记录号WOS:000381585100005
引用统计
被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ipe.ac.cn/handle/122111/21318
专题研究所(批量导入)
作者单位1.Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式
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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.
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