Mathematical Sciences: A Computational Model of Aquatic Animal Locomotion

建议将计算机模拟应用于水生动物推进的流体动力学研究。她将广泛使用一种新的研究工具--克雷超级计算机。提出了一个可靠的二维计算模型。流体的运动由不可压缩的Navier-Stokes方程描述，浸没的生物体是由经历随时间变化的单丝运动组成的。对于游泳运动幅度的大小或位置依赖关系，该算法适用于非常宽的雷诺数范围。这是第一次对水生动物运动进行的计算研究，得出了这些结论。这项研究的主要目标是将这一计算模型扩展到三维。还建议改进二维模型，将细胞体附着在波动的细丝上，并研究相邻鞭毛之间的相位锁定。这项工作至少在两个方面是开创性的：它是第一个求解完整的Navier-Stokes方程的水生动物运动计算模型，它在超级计算机上广泛使用了大规模计算流体技术。

The proposer will apply computer modeling to the investigation of the fluid dynamics of aquatic animal propulsion. She will make extensive use of a newly-available research tool, the CRAY supercomputer. The proposer has developed a reliable computational model in two dimensions. The fluid motion is described by the incompressible Navier-Stokes equations, and the immersed organism is comprised of a single filament undergoing time-dependent motion. On the size or position-dependency of the amplitude of the swimming motion the algorithm works for a very wide range of Reynolds numbers. This is the first computational study of aquatic animal locomotion which makes these claims. The major goal of this research is to extend this computational model to three dimensions. It is also proposed to improve the two- dimensional model by including a cell body attached to the undulating filament, and to study phase-locking between neighboring flagella. This work is pioneering in at least two respects: it is the first computational model of aquatic animal locomotion which solves the full Navier-Stokes equations and it makes extensive use of large-scale computational fluid techniques on a supercomputer.