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

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.