| 摘要: |
| 本文研究黏性流体与零厚度弹性材料界面上的耦合运动问题.利用沉浸边界法与时间步长法,半Lagrange离散法,对速度分解后的Stokes部分与正则部分进行求解,获得了关于耦合运动中二阶PDE求解的一般方法,推广了文献[14,15,18]的结果. |
| 关键词: Navier-Stokes流 刚性方程 沉浸界面 边界积分 |
| DOI： |
| 分类号:O175.24 |
| 基金项目:国家自然科学基金资助项目(11271069) |
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| A DECOMPOSITION ALGRITHM FOR COUPLED MOVING INTERFACES IN VISCOUS FLUIDS |
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XIONG Hui
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Department of Mathematics, Dongguan University of Technology, Dongguan 523808, China
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| Abstract: |
| This paper investigates the coupled motion of a viscous fluid and an elastic material interface with zero thickness.By using the immersed interface method and time-stepping method,semi-Lagrange discrete method respectively,the decomposed Stokes part and regular part are solved,and the general calculating method of the second-order PDE related to the coupled motion is obtained.Furthermore,we improve the results of[14,15,18]. |
| Key words: Navier-Stokes flow stiff equations immersed interface boundary integral |
