A note on pressure accuracy in immersed boundary method for Stokes flow

被引：19

作者：

Chen, Kuan-Yu ^{[2
]}

Feng, Ko-An ^{[3
]}

Kim, Yongsam ^{[4
]}

Lai, Ming-Chih ^{[1
,2
]}

机构：

[1] Natl Chiao Tung Univ, Ctr Math Modeling & Sci Comp, Hsinchu 30010, Taiwan

[2] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan

[3] Natl Tsing Hua Univ, Natl Ctr Theoret Sci, Sec 2, Hsinchu 30043, Taiwan

[4] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

Immersed boundary method; Pressure accuracy; Discrete delta function; Stokes flow;

D O I：

10.1016/j.jcp.2011.03.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this short note, we provide a simplified one-dimensional analysis and two-dimensional numerical experiments to predict that the overall accuracy for the pressure or indicator function in immersed boundary calculations is first-order accurate in L-1 norm, half-order accurate in L-2 norm, but has O(1) error in L-infinity Despite the pressure has O(1) error near the interface, the velocity field still has the first-order convergence in immersed boundary calculations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：4377 / 4383

页数：7

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