Numerical simulation of complex flows involving elastic membranes, fluid-fluid and fluid-solid interfaces

多组分和多相流动的数值模拟在化学和生物医学工程中有重要的应用。在过去，我们已经开发了算法和计算机代码的直接模拟刚性颗粒和液滴和气泡在粘性流体中的动力学。在接下来的五年里，我们计划扩展自由边界算法，将表面流变学，占弹性膜的存在，使我们能够模拟剪切流中的血细胞的行为。 红细胞在许多实际情况下会受到大剪切，例如人工心脏瓣膜周围的流动，并且通常无法承受施加在它们身上的压力。 因此，重要的是数值模拟它们在各种剪切流中的行为，并估计它们的生存机会。

The numerical simulation of multicomponent and multiphase flows has important applications in Chemical and Biomedical Engineering. In the past we have developed algorithms and computer codes for the direct simulation of the dynamics of rigid particles and drops and bubbles in viscous fluids. During the next five years we plan to extend the free boundary algorithms to incorporate a surface rheology that accounts for the presence of elastic membranes so that we can simulate the behaviour of blood cells in shear flows. The red blood cells are subjected to large shears in many practical situations like the flow around artificial heart valves for example, and often they can not survive the stress exerted on them. Therefore, it is important to simulate numerically their behaviour in a variety of shear flows and estimate their chances to survive.