| 叶轮机内部基于变分原理三维等参元不可压流场有限元分析 |
| |
| 引用本文： | 纪维礼,刘永贤.叶轮机内部基于变分原理三维等参元不可压流场有限元分析[J].东北大学学报(自然科学版),1986(2). |
| |
| 作者姓名： | 纪维礼 刘永贤 |
| |
| 作者单位： | 东北工学院流体机械教研室
(纪维礼)，东北工学院计算机应用教研室(刘永贤) |
| |
| 摘 要： | 本文从连续方程出发,导出了以势函数φ为宗量的叶轮机内部流动在相对座标系下,三元不可压势流的变分原理。把入口、出口及物面边界条件都化为自然边界条件处理,而把上、下游周期性边界条件作为本质边界条件处理。在此基础上对该变分原理进行了二十结点等参元离散化,导出了求解的线代数方程组。编制成Fortran语言程序,给出了计算实例。
|
| 关 键 词： | 变分原理 自然边界条件 广义K-J条件 |
Finite Element Analysis of Three-Dimensional Isoparametric Element Based on Variational Principle for Incompressible Flow Field in Turbomachines |
| |
| Ji Weili Liu Yongxian.Finite Element Analysis of Three-Dimensional Isoparametric Element Based on Variational Principle for Incompressible Flow Field in Turbomachines[J].Journal of Northeastern University(Natural Science),1986(2). |
| |
| Authors: | Ji Weili Liu Yongxian |
| |
| Institution: | Ji Weili Liu Yongxian |
| |
| Abstract: | Proceeding from the continous and taking the potential function as variable, the authors of this paper have obtained the variational principle of three-dimensional incompressible potential flow in turbomachines in relative coordinate system. The boundary conditions of the inlet and outlet and the surface of substance are changed to natural boundary conditions, while the periodical boundary conditions of the inlet and outlet stations are taken as essential boundary conditions in treating. The correspounding expressions of the variational principle are developed by 20-nade isoparametric transformation.Then the linear equations are led.The FORTRAN program is compiled and a calculative example is given. |
| |
| Keywords: | variational principle natural boundary condition general K-J condition |
| 本文献已被 CNKI 等数据库收录！ |
