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Upwind compact method and direct numerical-simulation of driven flow in a square cavity | |
Liu H(刘宏); Fu DX(傅德薰); Ma YW(马延文); LIU, H (reprint author), ACAD SINICA,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. | |
发表期刊 | Science in China Series A-Mathematics Physics Astronomy |
1993 | |
卷号 | 36期号:11页码:1347-1357 |
ISSN | 1001-6511 |
摘要 | A high-order accurate finite-difference scheme, the upwind compact method, is proposed. The 2-D unsteady incompressible Navier-Stokes equations are solved in primitive variables. The nonlinear convection terms in the governing equations are approximated by using upwind biased compact difference, and other spatial derivative terms are discretized by using the fourth-order compact difference. The upwind compact method is used to solve the driven flow in a square cavity. Solutions are obtained for Reynolds numbers as high as 10000. When Re less than or equal to 5000, the results agree well with those in literature. When Re = 7500 and Re = 10000, there is no convergence to a steady laminar solution, and the flow becomes unsteady and periodic. |
关键词 | Numerical Simulation Upwind Compact Scheme Unsteady Separated Vortex Driven Flow In a Cavity Navier-stokes Equations |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:A1993MK26400007 |
关键词[WOS] | NAVIER-STOKES EQUATIONS |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/39370 |
专题 | 力学所知识产出(1956-2008) |
通讯作者 | LIU, H (reprint author), ACAD SINICA,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. |
推荐引用方式 GB/T 7714 | Liu H,Fu DX,Ma YW,et al. Upwind compact method and direct numerical-simulation of driven flow in a square cavity[J]. Science in China Series A-Mathematics Physics Astronomy,1993,36,11,:1347-1357. |
APA | 刘宏,傅德薰,马延文,&LIU, H .(1993).Upwind compact method and direct numerical-simulation of driven flow in a square cavity.Science in China Series A-Mathematics Physics Astronomy,36(11),1347-1357. |
MLA | 刘宏,et al."Upwind compact method and direct numerical-simulation of driven flow in a square cavity".Science in China Series A-Mathematics Physics Astronomy 36.11(1993):1347-1357. |
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