Title of article
A note on pressure accuracy in immersed boundary method for Stokes flow
Author/Authors
Chen، نويسنده , , Kuan-Yu and Feng، نويسنده , , Ko-An and Kim، نويسنده , , Yongsam and Lai، نويسنده , , Ming-Chih، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
7
From page
4377
To page
4383
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.
Keywords
Stokes flow , Pressure accuracy , immersed boundary method , Discrete delta function
Journal title
Journal of Computational Physics
Serial Year
2011
Journal title
Journal of Computational Physics
Record number
1483410
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