@article{68fccb329e6e4371a854db0f6a1b5249,
title = "An immersed boundary method with formal second-order accuracy and reduced numerical viscosity",
abstract = "A formally second-order accurate immersed boundary method is presented and tested in this paper. We apply this new scheme to simulate the flow past a circular cylinder and study the effect of numerical viscosity on the accuracy of the computation by comparing the numerical results with those of a first-order method. The numerical evidence shows that the new scheme has less numerical viscosity and is therefore a better choice for the simulation of high Reynolds number flows with immersed boundaries.",
author = "Lai, {Ming Chih} and Peskin, {Charles S.}",
note = "Funding Information: 1Supported by National Science Foundation under research Grant DMS/FD 92-20719. 2Corresponding author. Present address: Department of Mathematics, Chung Cheng University, Minghsiung, Chiayi 621, Taiwan. E-mail: mclai@math.ccu.edu.tw. Funding Information: This work is a part of the first author{\textquoteright}s Ph.D. thesis at Courant Institute of Mathematical Sciences, New York University. It was supported by National Science Foundation under research Grant DMS/FD 92-20719. The computation was performed at the Applied Mathematics Laboratory, New York University, and also at the Pittsburgh Supercomputing Center and at the San Diego Supercomputer Center under an allocation of resources MCA93S004P from the MetaCenter and NRAC Allocation Committees, respectively. The authors are indebted to Olof Widlund for suggesting (many years ago!) the use of skew-symmetric differencing of the advection terms.",
year = "2000",
month = may,
day = "20",
doi = "10.1006/jcph.2000.6483",
language = "English (US)",
volume = "160",
pages = "705--719",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
number = "2",
}