Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method
文献类型：期刊论文
| 作者 | Yuan L(袁礼); Fu DX(傅德薰) ; Ma YW(马延文)
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| 刊名 | International Journal for Numerical Methods in Fluids
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| 出版日期 | 1995 |
| 卷号 | 21期号:5页码:401-411 |
| 关键词 | Unsteady Incompressible Flow Vorticity Velocity Formulation Numerical Simulation Staggered Grid Spherical Couette Flow Concentric Rotating Spheres Formulation Equations |
| ISSN号 | 0271-2091 |
| 中文摘要 | A new numerical method for solving the axisymmetric unsteady incompressible Navier-Stokes equations using vorticity-velocity variables and a staggered grid is presented. The solution is advanced in time with an explicit two-stage Runge-Kutta method. At each stage a vector Poisson equation for velocity is solved. Some important aspects of staggering of the variable location, divergence-free correction to the velocity held by means of a suitably chosen scalar potential and numerical treatment of the vorticity boundary condition are examined. The axisymmetric spherical Couette flow between two concentric differentially rotating spheres is computed as an initial value problem. Comparison of the computational results using a staggered grid with those using a non-staggered grid shows that the staggered grid is superior to the non-staggered grid. The computed scenario of the transition from zero-vortex to two-vortex flow at moderate Reynolds number agrees with that simulated using a pseudospectral method, thus validating the temporal accuracy of our method. |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| 研究领域[WOS] | Computer Science ; Mathematics ; Mechanics ; Physics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:A1995RU47000003 |
| 公开日期 | 2009-08-03 ; 2010-08-20 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/39196]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Yuan L,Fu DX,Ma YW. Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method[J]. International Journal for Numerical Methods in Fluids,1995,21(5):401-411. |
| APA | 袁礼,傅德薰,&马延文.(1995).Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method.International Journal for Numerical Methods in Fluids,21(5),401-411. |
| MLA | 袁礼,et al."Numerical simulation of axisymmetric unsteady incompressible flow by a vorticity-velocity method".International Journal for Numerical Methods in Fluids 21.5(1995):401-411. |
入库方式： OAI收割
来源：力学研究所
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