采用近似边界求解壁板颤振的CBS有限元算法

李凯伦; 魏云; 张玫琳; 张家忠

doi:10.13224/j.cnki.jasp.2015.12.005

采用近似边界求解壁板颤振的CBS有限元算法

doi: 10.13224/j.cnki.jasp.2015.12.005

1. 西安交通大学能源与动力工程学院, 西安 710049;
2. 西安热工研究院有限公司锅炉设备及环保事业部, 西安 710032;
3. 中国电力建设集团有限公司河南省电力勘测设计院, 郑州 450007

基金项目:

国家科技支撑计划(2013BAF01B02)

国家重点基础研究发展计划(2012CB026002)

详细信息

作者简介:
李凯伦(1983-),男,陕西渭南人,博士,主要从事壁板热气弹颤振问题研究.

中图分类号: V414.4
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出版历程
- 收稿日期: 2014-04-27
- 刊出日期: 2015-12-28

CBS finite element method with approximate boundary conditions for panel flutter

1. School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China;
2. Boiler and Enviromental Protection Department, Xi'an Thermal Power Research Institute Company Limited, Xi'an 710032, China;
3. Henan Electric Power Survey and Design Institute, Power Construction Corporation of China, Zhengzhou 450007, China

摘要

摘要: 为了简化Euler方程求解壁板颤振问题,将近似边界条件成功地推广到CBS(characteristic-based split)有限元方法求解壁板颤振领域,把运动壁面的影响转化为Euler方程的边界条件,避免了对动网格的处理.通过对近似边界方法、动网格方法以及3阶活塞理论的数值模拟结果进行对比发现:首先,加载近似边界的CBS有限元方法操作非常简便,且模拟结果与动网格方法完全吻合;其次,Euler方程可以准确捕捉到壁板前后两端不光滑尖点所引起的压力突跳,而3阶活塞理论则无法做到;最后,采用近似边界的CBS有限元方法在求解无黏可压缩流动中细长体小变形的流-固耦合问题上具有潜力和优势.
- 壁板颤振 /
- 流-固耦合 /
- CBS有限元算法 /
- 近似边界条件 /
- 动网格
Abstract: In order to simplify the solving process of Euler equation for panel flutter, approximate boundary conditions were successfully introduced into CBS (characteristic-based split) finite element method to simulate the panel flutter. The impact of moving boundary was treated as normal boundary conditions for Euler equation. From analysis, it is found that:first, the results by approximate boundary conditions agree very well with those by moving boundary method, and the application of approximate boundary conditions is more convenient; then, Euler equation, rather than 3rd order piston theory is able to capture the pressure jump caused by sharp points at the ends of panels; finally, CBS finite element method with approximate boundary conditions has potentials and advantages in solving the fluid-structure interaction problems of small deformation of slender bodies in inviscid compressible flows.
- panel flutter /
- fluid-structure interaction /
- CBS finite element method /
- approximate boundry conditions /
- moving mesh

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参考文献(20)

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