Numerical Investigations of the Dynamics of Deformable Particles and the Rheology of Their Suspensions

边界积分方法与并行处理技术 用于模拟可变形物体的运动和破碎 颗粒（包括液滴和气泡）， 各种生物和工业情况。 颗粒 是牛顿流体，并且由与 广义力学性能 分析在 二维和三维，对于单个粒子， 粒子的周期性晶格和随机分散。 的 研究的主要目的是描述 界面性质对运动的重要性， 颗粒的变形，计算界面的大小 在变形过程中产生的张力， 永久变形和破裂，并研究 稀悬浮液和浓悬浮液的流变特性。 研究是通过数值计算进行的， 是基于渐近方法和先进的实现 边界积分方法 的大部分 数字努力致力于发展有效的 颗粒内外流耦合技术 以及界面的变形。 拟议的研究领域与生物工程有关 和化工制造加工，以及高 性能计算。//

Boundary integral method and parallel processing techniques are used to simulate the motion and break-up of deformable particles (including drops and bubbles) encountered in a variety of biological and industrial situations. Particles are of a newtonian fluid, and are bounded by interfaces with generalized mechanical properties. Analysis is performed in two- and three-dimensions, for individual particles, a periodic lattice of particles, and a random dispersion. The main objectives of the research are to delineate the significance of interfacial properties on the motion and deformation of particles, compute the magnitude of interfacial tensions developing during deformations, establish criteria for permanent deformations and break-up, and study the rheological properties of dilute and concentrated suspensions. The research is conducted through numerical computations which are based on asymptotic methods and advanced implementations of boundary integral methods. A substantial part of the numerical effort is devoted towards developing efficient techniques of coupling the flow inside and outside a particle and the deformation of the interfaces. The proposed field of research is relevant to bioengineering and chemical manufacturing processing, as well as to high performance computing.//