The standard upwind compact difference schemes for incompressible flow simulations

doi:10.1016/j.jcp.2016.06.030

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	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.
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2016
卷号	322 页码:74-112
关键词	Compact Difference Scheme Upwind Scheme Upwind Compact Scheme Incompressible Flows Lid-driven Cavity
ISSN号	0021-9991
DOI	10.1016/j.jcp.2016.06.030
产权排序	[Fan, Ping] Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China; [Fan, Ping] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
文献子类	期刊论文
英文摘要	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.
分类号	一类
URL标识	查看原文
WOS关键词	Compact difference scheme ; Upwind scheme ; Upwind compact scheme ; Incompressible flows ; Lid-driven cavity
WOS研究方向	Computer Science ; Physics
语种	英语
WOS记录号	WOS:000381585100005
资助机构	This work is supported by NSFC (11172299).
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/59732]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
通讯作者	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.
推荐引用方式 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.