| 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 Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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| 2016 | |
| Volume | 322Pages:74-112 |
| ISSN | 0021-9991 |
| 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. |
| Keyword | Compact Difference Scheme Upwind Scheme Upwind Compact Scheme Incompressible Flows Lid-driven Cavity |
| DOI | 10.1016/j.jcp.2016.06.030 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000381585100005 |
| WOS Keyword | Compact difference scheme ; Upwind scheme ; Upwind compact scheme ; Incompressible flows ; Lid-driven cavity |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| Funding Organization | This work is supported by NSFC (11172299). |
| Department | LMFS水环境流体力学(LEM) |
| Classification | 一类 |
| Ranking | False |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/59732 |
| Collection | 流固耦合系统力学重点实验室 |
| Corresponding Author | 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. |
| 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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| a2016-092.pdf（12681KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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