Computational Studies of Suspension Rheology

本文提出的目标是一种模拟可变形非球形粒子系统流动的数值技术。该方法将问题简化为求解一组第二类Fredholm积分方程，并采用并行处理。该模型可以模拟悬浮过程中所遇到的聚并、破碎、粒子旋转、有序结构的形成和混合等机制。与以前的方法相比，计算时间和内存存储将大大减少。私家侦探将与圣地亚哥超级计算机中心合作。模拟应该导致更好的理解和基本的数值解决一系列工业和生物医学应用，如血液流动，泡沫，悬浮液，和食品加工。

The objective of this proposal is a numerical technique for simulating the flow of deformable non-spherical particle systems. The proposed technique reduces the problem to that of solving a set of Fredholm integral equations of the second kind, and uses parallel processing. The model can simulate mechanisms encountered in suspension, such as coalescence, break-up, particle rotation, formation of ordered structures and mixing. The computational time and memory storage will be significantly reduced as compared to previous methods for similar solutions. The P.I. will collaborate with the San Diego supercomputer center. The simulations should lead to a better understanding and basic numerical solutions to a series of industrial and biomedical applications, such as blood flow, foams, suspensions, and food processing.