A Hybrid Immersed Interface Method for Driven Stokes Flow in an Elastic Tube
作者机构：Department of MathematicsDuke UniversityDurhamNC 27708-0320USA
出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)
年 卷 期：2013年第6卷第4期
页 面：600-616页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported in part by the National Science Foundation under Grant DMS-0715021
主 题：Stokes flow interface tracking immersed interface methods axisymmetric cylindrical coordinates boundary integrals
摘 要：We present a hybrid numerical method for simulating fluid flow through a compliant,closed tube,driven by an internal source and *** is assumed to be highly viscous with its motion described by Stokes *** geometry is assumed to be axisymmetric,and the governing equations are implemented in axisymmetric cylindrical coordinates,which capture 3D flow dynamics with only 2D *** solve the model equations using a hybrid approach:we decompose the pressure and velocity fields into parts due to the surface forcings and due to the source and sink,with each part handled separately by means of an appropriate *** the singularly-supported surface forcings yield an unsmooth solution,that part of the solution is computed using the immersed interface *** conditions are derived for the axisymmetric cylindrical *** velocity due to the source and sink is calculated along the tubular surface using boundary *** results are presented that indicate second-order accuracy of the method.
维普期刊数据库