颗粒弥散体复模量的直接数值模拟方法
A direct numerical simulation method for complex modulus of particle dispersions
摘要：
本文提出了一种推广的光滑轮廓法（SPM）[Y.中山K. Kim和R. Yamamoto，Eur. Phys.J.E.{ \bf 26}，361（2008）]，一种用于计算粒子分散的复模量的直接数值模拟方法，其中我们将时间振荡的外力引入系统中。该方法的有效性进行了检查，通过评估的存储$G'(ω)$和损失$G"(ω)$模量的系统组成的相同的球形颗粒分散在不可压缩的牛顿主流体中的体积分数为$Φ=0$，0.41和0.51。在几个频率的剪切流的模量进行了评估，这里使用的剪切流具有锯齿形的轮廓，是符合通常的周期性边界条件。
英文摘要：
We report an extension of the smoothed profile method (SPM)[Y. Nakayama, K. Kim, and R. Yamamoto, Eur. Phys. J. E {\bf 26}, 361(2008)], a direct numerical simulation method for calculating the complex modulus of the dispersion of particles, in which we introduce a temporally oscillatory external force into the system. The validity of the method was examined by evaluating the storage $G'(ω)$ and loss $G"(ω)$ moduli of a system composed of identical spherical particles dispersed in an incompressible Newtonian host fluid at volume fractions of $Φ=0$, 0.41, and 0.51. The moduli were evaluated at several frequencies of shear flow; the shear flow used here has a zigzag profile, as is consistent with the usual periodic boundary conditions.
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