標題: | A note on pressure accuracy in immersed boundary method for Stokes flow |
作者: | Chen, Kuan-Yu Feng, Ko-An Kim, Yongsam Lai, Ming-Chih 應用數學系 數學建模與科學計算所(含中心) Department of Applied Mathematics Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics |
關鍵字: | Immersed boundary method;Pressure accuracy;Discrete delta function;Stokes flow |
公開日期: | 1-六月-2011 |
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. |
URI: | http://dx.doi.org/10.1016/j.jcp.2011.03.019 http://hdl.handle.net/11536/23212 |
ISSN: | 0021-9991 |
DOI: | 10.1016/j.jcp.2011.03.019 |
期刊: | JOURNAL OF COMPUTATIONAL PHYSICS |
Volume: | 230 |
Issue: | 12 |
起始頁: | 4377 |
結束頁: | 4383 |
顯示於類別: | 期刊論文 |