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基于Schwarz-Christoffel变换的非圆截面血管流场分布研究

张伟 张文普

张伟, 张文普. 基于Schwarz-Christoffel变换的非圆截面血管流场分布研究[J]. 应用数学和力学, 2021, 42(5): 470-480. doi: 10.21656/1000-0887.410267
引用本文: 张伟, 张文普. 基于Schwarz-Christoffel变换的非圆截面血管流场分布研究[J]. 应用数学和力学, 2021, 42(5): 470-480. doi: 10.21656/1000-0887.410267
ZHANG Wei, ZHANG Wenpu. Research on the Flow Field Distribution of Non-Circular Cross-Section Vessels Based on the Schwarz-Christoffel Transformation[J]. Applied Mathematics and Mechanics, 2021, 42(5): 470-480. doi: 10.21656/1000-0887.410267
Citation: ZHANG Wei, ZHANG Wenpu. Research on the Flow Field Distribution of Non-Circular Cross-Section Vessels Based on the Schwarz-Christoffel Transformation[J]. Applied Mathematics and Mechanics, 2021, 42(5): 470-480. doi: 10.21656/1000-0887.410267

基于Schwarz-Christoffel变换的非圆截面血管流场分布研究

doi: 10.21656/1000-0887.410267
基金项目: 浙江省公益基金(面上项目)(2017C33002)
详细信息
    作者简介:

    张伟(1996—),男,硕士(E-mail: 21824015@zju.edu.cn);张文普(1971—),男,副教授,博士(通讯作者. E-mail: wpzhang@zju.edu.cn).

  • 中图分类号: O241

Research on the Flow Field Distribution of Non-Circular Cross-Section Vessels Based on the Schwarz-Christoffel Transformation

  • 摘要: 应用Schwarz-Christoffel(S-C)变换方法,实现从复平面单位圆到多边形区域的共形映射,结合圆形管道下完全发展脉动流的Womersley算法理论,建立了基于S-C映射的非圆入口截面下的Womersley速度边界模型.在边界模型建立的基础上,应用计算流体力学方法,对基于生理真实的人体肺动脉二级分支血管在一个心动周期内的血流流动情况进行了数值模拟,并与通过外接圆管法设定入口速度边界条件得到的流场模拟结果进行了对比分析.分析结果表明,两者的模拟结果高度一致,但考虑到模拟效率和数值模拟结果的确定性,基于S-C映射的Womersley速度边界模型优于外接圆管方法,对于血管血流动力学的模拟研究更具有现实意义.
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出版历程
  • 收稿日期:  2020-09-08
  • 修回日期:  2020-11-16
  • 刊出日期:  2021-05-01

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