The method of regularized Stokeslets in three dimensions: Analysis, validation, and application to helical swimming

被引：333

作者：

Cortez, R ^{[1
]}

Fauci, L ^{[1
]}

Medovikov, A ^{[1
]}

机构：

[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

来源：

PHYSICS OF FLUIDS | 2005年 / 17卷 / 03期

基金：

美国国家卫生研究院; 美国国家科学基金会;

关键词：

D O I：

10.1063/1.1830486

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The method of regularized Stokeslets is a Lagrangian method for computing Stokes flow driven by forces distributed at material points in a fluid. It is based on the superposition of exact solutions of the Stokes equations when forces are given by a cutoff function. We present this method in three dimensions, along with an analysis of its accuracy and performance on the model problems of flow past a sphere and the steady state rotation of rigid helical tubes. Predicted swimming speeds for various helical geometries are compared with experimental data for motile spirochetes. In addition, the regularized Stokeslet method is readily implemented in conjunction with an immersed boundary representation of an elastic helix that incorporates passive elastic properties as well as mechanisms of internal force generation. (C) 2005 American Institute of Physics.

引用

页码：031504 / 1

页数：14

共 24 条

[1]

Batchelor David., 2000, An Introduction to Fluid Dynamics

[2] HIGH-ORDER ACCURATE VORTEX METHODS WITH EXPLICIT VELOCITY KERNELS [J].