Bridging Microstructural and Continuum Theories of DispersedSystems with Parallel Computer Architectures

该方案的目标是开发可扩展的并行计算算法，用于无惯性影响的多粒子系统流动。颗粒可以具有任意形状和粗糙度。结合先进的并行机在悬浮液流变学中的应用，编制了控制方程。将控制的Stokes方程转化为粒子表面和系统边界上具有双层密度的第二类Fredholm型积分方程组。该方法适用于稀薄和浓缩悬浮流、非球形颗粒和不规则包围壁。这项建议的重点是计算算法，而不是物理问题。目标是减少处理器间通信的频率，缩短处理器间的消息，从而提高整体计算速度。低雷诺数悬浮流高效计算方法的发展在化工领域有着广泛的应用，使用微粒悬浮液的制药和其他工业过程。

The object of this proposal is the development of scalable parallel computing algorithms for multi-particle system flow with negligible inertial effects. The particles may have arbitrary shape and roughness. The preparation of the governing equation combined with the use of the advanced parallel computer in suspension rheology. The governing Stokes equations are transformed into a set of Fredholm integral equations of second kind with double-layer densities on the surfaces of particles and on the boundary of the system. The methodology can be applied to dilute and concentrated suspension flow, non- spherical particles and irregularly bounding walls. The emphasis of this proposal is on the computational algorithm rather than physical problems. The goal is to reduce the frequency of inter-processor communication, and to shorten the inter-processor messages, which would increase the overall computational speed. The development of an efficient computational methodology for suspension flow at low Reynolds numbers has a broad range of applications in chemical, pharmaceutical and other industrial processes that use particulate suspensions.