Mathematical Sciences: Theory and Application of Domain Decomposition Methods for Incompressible Fluid Flow

发展精确有效的数值方法 不可压缩Navier-Stokes方程的解对于 对许多复杂物理现象的理解。 的 这里提出的研究集中于开发这样的方法， 在并行计算机上实现它们，并将其应用于 类的难题。 待开发的方法使用区域分解， 适用于并行处理器。 方法将是 在Thinking Machines，Inc.上实现，CM-5并联 处理器. 为了证明这些方法的有效性， 应用于一组非平凡的测试问题。 测试问题 将是计算涡脱落的固定或 均匀流动中的振荡圆柱体。

The development of accurate and efficient numerical methods for the incompressible Navier-Stokes equations is important for the understanding of many complex physical phenomena. The research proposed here focuses on developing such methods, implementing them on a parallel computer, and applying them to a class of difficult problems. The methods to be developed use domain decomposition and are suitable for use on parallel processors. The methods will be implemented on a Thinking Machines, Inc., CM-5 parallel processor. To demonstrate the usefulness of the methods, they will be applied to a set of nontrivial test problems. The test problems will be computations of vortex shedding by either fixed or oscillating cylinders in uniform flow.