剪流下弹性胶囊数值模拟的一种改进Loop细分算法

his paper presents a modified Loop's subdivision algorithm forsimulating the deformation of elastic capsules in shear flow. A subdivisionthin-shell model is employed to compute the forces generated on thesurface of the elastic capsule during deformation. The capsulesurface is approximated using the modified Loop's subdivision schemewhich guarantees bounded curvature and $C^1$ continuity everywhereon the limit surface. The present numerical technique has beenvalidated by studying the deformation of a spherical capsule inshear flow. The proposed method is applied to study the deformation of a single capsule, the hydrodynamicinteraction between two capsules and the hydrodynamic diffusion of asuspension of capsules in bounded shear flow. A suspension of a large number ofbiconcave capsules in shear flow is also simulated to show theability of the present modified scheme in running a large-scale numerical simulationover a long period of time.