Knowledge Management System of Institue of Mechanics, CAS
| 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.
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| Source Publication | Science in China Series A-Mathematics Physics Astronomy
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| 1993 | |
| Volume | 36Issue:11Pages:1347-1357 |
| ISSN | 1001-6511 |
| Abstract | 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. |
| Keyword | Numerical Simulation Upwind Compact Scheme Unsteady Separated Vortex Driven Flow In a Cavity Navier-stokes Equations |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:A1993MK26400007 |
| WOS Keyword | NAVIER-STOKES EQUATIONS |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/39370 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | LIU, H (reprint author), ACAD SINICA,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. |
| Recommended Citation 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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