Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520663 | Journal of Computational Physics | 2011 | 7 Pages |
Abstract
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 L1 norm, half-order accurate in L2 norm, but has O(1) error in L∞ norm. Despite the pressure has O(1) error near the interface, the velocity field still has the first-order convergence in immersed boundary calculations.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Kuan-Yu Chen, Ko-An Feng, Yongsam Kim, Ming-Chih Lai,