CBS finite element method with approximate boundary conditions for panel flutter

LI Kai-lun; WEI Yun; ZHANG Mei-lin; ZHANG Jia-zhong

doi:10.13224/j.cnki.jasp.2015.12.005

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CBS finite element method with approximate boundary conditions for panel flutter

更新时间：2026-07-07

- CBS finite element method with approximate boundary conditions for panel flutter
- Vol. 30, Issue 12, Pages: 2848-2856(2015)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.13224/j.cnki.jasp.2015.12.005
  CLC：
- Published：2015
- 稿件说明：
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李凯伦, 魏云, 张玫琳, 张家忠. 采用近似边界求解壁板颤振的CBS有限元算法[J]. 航空动力学报, 2015, 30(12): 2848-2856.

doi: 10.13224/j.cnki.jasp.2015.12.005
李凯伦, 魏云, 张玫琳, 张家忠. 采用近似边界求解壁板颤振的CBS有限元算法[J]. 航空动力学报, 2015, 30(12): 2848-2856. DOI： 10.13224/j.cnki.jasp.2015.12.005.

doi: 10.13224/j.cnki.jasp.2015.12.005 DOI：

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.

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.

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