The method of regularized Stokeslets

被引:375
作者
Cortez, R [1 ]
机构
[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA
关键词
Stokes flow; immersed boundaries;
D O I
10.1137/S106482750038146X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A numerical method for computing Stokes flows in the presence of immersed boundaries and obstacles is presented. The method is based on the smoothing of the forces, leading to regularized Stokeslets. The resulting expressions provide the pressure and velocity field as functions of the forcing. The latter expression can also be inverted to find the forces that impose a given velocity boundary condition. The numerical examples presented demonstrate the wide applicability of the method and its properties. Solutions converge with second-order accuracy when forces are exerted along smooth boundaries. Examples of segmented boundaries and forcing at random points are also presented.
引用
收藏
页码:1204 / +
页数:22
相关论文
共 39 条
[1]  
[Anonymous], 1997, Introduction to Theoretical and Computational Fluid Dynamics
[2]  
Batchelor David., 2000, An Introduction to Fluid Dynamics
[3]   HIGH-ORDER ACCURATE VORTEX METHODS WITH EXPLICIT VELOCITY KERNELS [J].
BEALE, JT ;
MAJDA, A .
JOURNAL OF COMPUTATIONAL PHYSICS, 1985, 58 (02) :188-208
[4]   A method for computing nearly singular integrals [J].
Beale, JT ;
Lai, MC .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2001, 38 (06) :1902-1925
[5]   MODEL FOR MICRO-STRUCTURE IN CILIATED ORGANISMS [J].
BLAKE, J .
JOURNAL OF FLUID MECHANICS, 1972, 55 (SEP12) :1-&
[6]  
BUTTKE TF, 1993, NATO ADV SCI INST SE, V395, P39
[7]  
Childress S., 1981, Mechanics of Swimming and Flying
[8]   Numerical study of slightly viscous flow [J].
Chorin, Alexandre Joel .
JOURNAL OF FLUID MECHANICS, 1973, 57 :785-796
[9]   An impulse-based approximation of fluid motion due to boundary forces [J].
Cortez, R .
JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 123 (02) :341-353
[10]  
Cortez R, 1997, COMMUN PUR APPL MATH, V50, P1235