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控制体有限元中插值函数特性比较与算例分析

宋宇 曹树良

农业机械学报2012,Vol.43Issue(7):79-84,6.
农业机械学报2012,Vol.43Issue(7):79-84,6.DOI:10.6041/j.issn.1000-1298.2012.07.014

控制体有限元中插值函数特性比较与算例分析

Comparison of Interpolation Functions in Control Volume Finite Element Method and Numerical Analysis

宋宇 1曹树良1

作者信息

  • 1. 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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摘要

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.

关键词

不可压流动/控制体/有限元方法/插值函数/管道流

Key words

Incompressible flow/ Control volume/ Finite element method/ Interpolation function/ Channel flow

分类

数理科学

引用本文复制引用

宋宇,曹树良..控制体有限元中插值函数特性比较与算例分析[J].农业机械学报,2012,43(7):79-84,6.

基金项目

国家自然科学基金资助项目(51176088) (51176088)

农业机械学报

OA北大核心CSCDCSTPCD

1000-1298

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