Title: A note on pressure accuracy in immersed boundary method for Stokes flow
Authors: Chen, Kuan-Yu
Feng, Ko-An
Kim, Yongsam
Lai, Ming-Chih
Department of Applied Mathematics
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
Keywords: Immersed boundary method;Pressure accuracy;Discrete delta function;Stokes flow
Issue Date: 1-Jun-2011
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 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
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2011.03.019
Volume: 230
Issue: 12
Begin Page: 4377
End Page: 4383
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