An Impulse-Based Approximation of Fluid Motion due to Boundary Forces

An Impulse-Based Approximation of Fluid Motion due to Boundary Forces
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边界力引起的流体运动的基于脉冲的近似

DOI:
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发表时间:
1996
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通讯作者:
R. Cortez
R. Cortez
中科院分区:
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文献类型:
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作者:
R. Cortez

文献摘要

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不可压缩、无粘性流体在无质量、弹性膜包围的区域中的运动可以通过将边界力的作用通过涡偶极子传递到流体来近似。我们提出了一个拉格朗日数值方法来近似这种运动的基础上的冲动(a.k.a.磁化)Buttke引入的变量。特别是,我们解释了脉冲变量和涡偶极子与规定的偶极矩之间的对应关系。数值例子说明了脉冲变量在这方面的应用。
The motion of an incompressible, inviscid fluid in a region surrounded by a massless, elastic membrane can be approximated by transmitting the effect of the boundary forces to the fluid through vortex dipoles. We present a Lagrangian numerical method for approximating this motion based on the impulse (a.k.a. magnetization) variables introduced by Buttke. In particular, we explain the correspondence between impulse variables and vortex dipoles with a prescribed dipole moment. Numerical examples that illustrate the application of impulse variables in this context are given.