| 高殿荣,赵永凯.不可压缩二维流动Navier—Stokes方程的有限元解[J].计算力学学报,1998,15(4):379~386 |
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| 不可压缩二维流动Navier—Stokes方程的有限元解 |
| Finite element solutions of navier stokes equation for incompressible two dimensional flow |
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| DOI：10.7511/jslx19984060 |
| 中文关键词: 后台阶流动 流函数－涡量式 有限元法 壁涡 边界条件 |
| 英文关键词:backward facing step flow,streamfunction vorticity formula finite element method,wall vorticity,boundary condition |
| 基金项目:机械工业部教育司科技基金 |
| 高殿荣 赵永凯 |
| 燕山大学液压研究所 |
| 摘要点击次数: 1762 |
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| 中文摘要: |
| 对不可压缩流体沿二维后台阶流动的Ｎ－Ｓ方程的流函数－涡量式用有限元方法加以求解，固壁上的涡量用时间迭代法加以确定。分别计算Ｒｅ＝２００，４００，８００和１０００时流动区域的流函数和涡量值，并在Ｒｅ＝８００时与有关文献的结果相比较，基本吻合。且在此基础上讨论了出口条件对计算结果的影响。本文的方法对分析流经液压阀口等流动问题具有借鉴意义。 |
| 英文摘要: |
| In this paper the finite element method is employed to solve the streamfunction vorticity formula for viscous incompressible fluid flowing past two dimensional backward facing step. The vorticity on the solid wall are determined by the method of time iteration, without using the first order or second order accuracy of wall vorticity formula. We calculated the values of streamfunction and vorticity on the domain at Re=200, 400, 800 and 1000, and we compare our results at Re=800 with others, it is very agreement with each other. The effect of output boundary conditions on the computing results is also studied. The method used here is valuable to analyze the flow at the port of hydraulic valves. |
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