| 控制体有限元中插值函数特性比较与算例分 |
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| 引用本文： | 宋宇,曹树良.控制体有限元中插值函数特性比较与算例分[J].农业机械学报,2012,43(7):79-84. |
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| 作者姓名： | 宋宇 曹树良 |
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| 作者单位： | 清华大学水沙科学与水利水电工程国家重点实验室,北京,100084 |
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| 基金项目： | 国家自然科学基金资助项目（51176088） |
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| 摘 要： | 探讨了求解不可压流动问题的控制体有限元方法,提出了流线FCBI构造插值函数的方法,并与传统FCBI和推广FCBI方法进行比较。选择方腔流动和S型管道流动两个经典算例,分析讨论了3种插值函数在求解不同流动问题时的共性与特性。结果表明:对对流占优的流动问题,尤其是流动较为复杂的对流占优问题,流线FCBI插值函数能更好地描述单元中速度的分布,较其他两种插值函数更容易获得稳定的收敛解;对非对流占优的流动问题,当单元Re小于5时,3种插值函数均能获得较精确的计算结果,但当单元Re数较高时,3种插值函数的精度均较低。
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| 关 键 词： | 不可压流动 控制体 有限元方法 插值函数 管道流 |
Comparison of Interpolation Functions in Control Volume Finite Element Method and Numerical Analysis |
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| Song Yu and Cao Shuliang.Comparison of Interpolation Functions in Control Volume Finite Element Method and Numerical Analysis[J].Transactions of the Chinese Society of Agricultural Machinery,2012,43(7):79-84. |
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| Authors: | Song Yu and Cao Shuliang |
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| Institution: | Tsinghua University;Tsinghua University |
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| Abstract: | Control volume finite element method to solve incompressible flow problems was investigated. The streamline FCBI method was built and compared with the original FCBI and general FCBI method. Lid-driven cavity flow and S-channel flow were chosen as the test cases. The similarities and differences among the three interpolation functions were discussed according to the analysis. The results showed that for convection-dominated flow, especially with complex performances, the Streamline FCBI method could better describe the velocity distributions in the element and achieve more stable converged results. For convection-diffusion problems, the precision of all the methods were low when element Re was high. From the analysis that for convection-diffusion problems, it is concluded that good results can be achieved by using FCBI methods when element Re is less than 5. |
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| Keywords: | Incompressible flow Control volume Finite element method Interpolation function Channel flow |
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