Grid-Free Method for High Reynolds Number Flow Around an Immersed ElasticStructure

摘要

This report is concerned with the computational modeling of problems inbiological fluid mechanics. Typically, these problems involve the study of flow about highly flexible, moving boundaries; for instance, distensible vessels, moving heart walls, and valves. The fluid along with the boundary constitutes a coupled mechanical system in the sense that the motion of the boundary is determined by that of the fluid, but at the same time the boundary exerts force on the fluid and alters its motion. Finite difference schemes do not perform well in simulations of high Reynolds number flow because a restrictive number of grid points must be used to resolve boundary layers. In this report we present a grid-free numerical method which may be used to calculate flows around an immersed elastic structure. Numerical results are presented in 2 simple cases: flow past a circular cylinder and flow past a flat plate. The boundary motion is specified and is not time dependent. however, this algorithm can be used to simulate more complicated, time dependent problems in biological fluid mechanics.