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

✍ Scribed by Kuan-Yu Chen; Ko-An Feng; Yongsam Kim; Ming-Chih Lai

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
202 KB
Volume
230
Category
Article
ISSN
0021-9991

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✦ Synopsis

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 1 norm. Despite the pressure has O(1) error near the interface, the velocity field still has the first-order convergence in immersed boundary calculations.

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