A numerical method for inextensible elastic filaments in viscous fluids
A numerical method for inextensible elastic filaments in viscous fluids
复制标题
粘性流体中不可伸长弹性丝的数值计算方法
DOI：
10.1016/j.jcp.2020.109643
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发表时间：
2020
影响因子：
4.1
通讯作者：
Fu, Henry C.
中科院分区：
文献类型：
--
作者：
Jabbarzadeh, Mehdi;Fu, Henry C.
鞭毛的变形在单鞭毛和多鞭毛细菌的运动中是重要的。现有的数值方法将鞭毛视为具有大的拉伸模量的可延伸细丝，导致刚性数值问题和长的模拟时间。然而，鞭毛几乎是不可扩展的，所以为了避免大的延伸刚度，我们引入不可扩展的弹性杆模型与流体力学处理的表面分布的正则化Stokeslet。我们基准这个新的模型对先前描述的模型的可扩展的弹性杆与流体力学处理的中心线分布的正则化Stokeslet和rotlets，以及表面分布的正则化Stokeslet。我们比较的不可扩展的模型与可扩展的模型的准确性和说明的拉伸/弯曲刚度（这取决于长丝的直径）的比例的不可扩展的模型是准确的，更有效的。我们表明，我们的不可扩展的方法可以显着更有效地比许多生物细丝的可扩展模型。我们还比较了Stokeslets和rotlets的中心线分布的准确性，更准确的表面分布的Stokeslets建模细丝的流体-结构相互作用。
The deformations of flagella are important in the motility of single- and multi-flagellated bacteria. Existing numerical methods have treated flagella as extensible filaments with a large extensional modulus, resulting in a stiff numerical problem and long simulation times. However, flagella are nearly inextensible, so to avoid large extensional stiffness, we introduce inextensible elastic rod models with hydrodynamics treated by a surface distribution of regularized Stokeslets. We benchmark this new model against previously described models of extensible elastic rods with hydrodynamics treated by a centerline distribution of regularized Stokeslets and rotlets, as well as a surface distribution of regularized Stokeslets. We compare the accuracy of the inextensible model with the extensible models and illustrate for which ratios of stretching/bending stiffness (which depend on the diameter of filament) the inextensible model is accurate and more efficient. We show that our inextensible approach can be markedly more efficient than the extensible models for many biological filaments. We also compare the accuracy of the centerline distribution of the Stokeslets and rotlets to the more accurate surface distribution of Stokeslets for modeling fluid-structure interactions of filaments.
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影响因子：
1.9
作者：
Kiarash Samsami;S. Mirbagheri;F. Meshkati;H. Fu
通讯作者：
Kiarash Samsami;S. Mirbagheri;F. Meshkati;H. Fu
影响因子：
2.7
作者：
David B. Stein;M. Shelley
通讯作者：
David B. Stein;M. Shelley
DOI：
10.1103/physrevfluids.2.034101
发表时间：
2017-03
期刊：
--
影响因子：
--
作者：
M. Jawed;P. Reis
通讯作者：
M. Jawed;P. Reis
影响因子：
3.7
作者：
Jabbarzadeh, Mehdi;Fu, Henry Chien
通讯作者：
Fu, Henry Chien
影响因子：
3.8
作者：
HOSHIKAWA, H;KAMIYA, R
通讯作者：
KAMIYA, R