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基于非协调边界元法和涡方法的黏性流场研究

丁静鹄 叶继红

丁静鹄, 叶继红. 基于非协调边界元法和涡方法的黏性流场研究[J]. 力学学报, 2013, 45(2): 202-213. doi: 10.6052/0459-1879-12-171
引用本文: 丁静鹄, 叶继红. 基于非协调边界元法和涡方法的黏性流场研究[J]. 力学学报, 2013, 45(2): 202-213. doi: 10.6052/0459-1879-12-171
Ding Jinghu, Ye Jihong. VISCOUS FLOWFIELD BASED ON DISCONTINUOUS BOUNDARY ELEMENT METHOD AND VORTEX METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 202-213. doi: 10.6052/0459-1879-12-171
Citation: Ding Jinghu, Ye Jihong. VISCOUS FLOWFIELD BASED ON DISCONTINUOUS BOUNDARY ELEMENT METHOD AND VORTEX METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 202-213. doi: 10.6052/0459-1879-12-171

基于非协调边界元法和涡方法的黏性流场研究

doi: 10.6052/0459-1879-12-171
基金项目: 国家杰出青年科学基金(51125031)和江苏省普通高校研究生科研创新计划(CXLX-0130)资助项目.
详细信息
    通讯作者:

    叶继红,教授,主要研究方向:大跨空间结构抗震、抗风及轻钢结构抗火,E-mail:yejihong@seu.edu.cn

  • 中图分类号: O357.1

VISCOUS FLOWFIELD BASED ON DISCONTINUOUS BOUNDARY ELEMENT METHOD AND VORTEX METHOD

Funds: The project was supported by the National Science fund for Distinguished Young Scholars (51125031) and Graduate Student Research and Innovation Program of Jiangsu Province (CXLX-0130).
  • 摘要: 基于非协调边界元方法和涡方法的联合应用, 模拟了二维和三维黏性不可压缩流场. 计算中利用离散涡元对漩涡的产生、凝聚和输送过程进行模拟, 并将整体计算域分解为采用涡泡模拟的内部区域和用涡列模拟的数字边界层区域. 计算域中涡量场的拉伸和对流由Lagrangian涡方法模拟, 用随机走步模拟涡量场的扩散. 内部区域涡元涡量场速度由广义Biot-Savart公式计算, 势流场速度则采用非协调边界元方法计算. 非协调边界元将所有节点均取在光滑边界处, 从而避免了法向速度的不连续现象; 而对于系数矩阵不对称的大型边界元方程组,引入了非常高效的预处理循环型广义极小残余(the generalized minimum residual, GMRES)迭代算法, 使得边界元法的优势得到了充分发挥, 同时, 在内部涡元势流场计算中对近边界点采用了正则化算法, 该算法将奇异积分转化为沿单元围道上一系列线积分, 消除了势流计算中速度及速度梯度的奇异性. 二维、三维流场算例证明了所用方法的正确性, 也验证了该算法可以大幅度提高模拟精度和效率.

     

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出版历程
  • 收稿日期:  2012-06-04
  • 修回日期:  2012-12-04
  • 刊出日期:  2013-03-18

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