Reduction of the Regularization Error of the Method of Regularized Stokeslets for a Rigid Object Immersed in a Three-Dimensional Stokes Flow

作     者：Hoang-Ngan Nguyen Ricardo Cortez 

作者机构：Center for Computational ScienceTulane University6823 St.Charles AveNew OrleansLouisiana70118USA. 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2014年第15卷第1期

页      面：126-152页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported by LONI Institute Graduate Fellowship 

主　　题：Stokes flow regularized Stokeslet boundary integral equation nearly singular integral. 

摘      要：We focus on the problem of evaluating the velocity field outside a solid object moving in an incompressible Stokes flow using the boundary integral *** points near the boundary,the integral is nearly singular,and accurate computation of the velocity is not *** way to overcome this problem is to regularize the integral *** method of regularized Stokeslet(MRS)is a systematic way to regularize the kernel in this *** a specific blob function which is widely used,the error of the MRS is only of first order with respect to the blob *** prove that this is the case for radial blob functions with decay propertyφ(r)=O(r−3−α)when r→∞for some constantα*** then find a class of blob functions for which the leading local error term can be removed to get second and third order errors with respect to blob *** the addition of these terms might give a flow field that is not divergence free,we introduce a modification of these terms to make the divergence of the corrected flow field close to zero while keeping the desired ***,these dominant terms are explicitly expressed in terms of blob function and so the computation time is negligible.