@inproceedings{64ef588f35e0458c8263d0b0eb96b83c,
title = "Efficient implicit LU-SGS algorithm for high-order spectral difference method on unstructured hexahedral grids",
abstract = "An efficient implicit lower-upper symmetric Gauss-Seidel (LU-SGS) solution algorithm has been developed for a high order multi-domain spectral difference method on unstructured hexahedral grids. The LU-SGS solver is preconditioned by the block element matrix, and the system of equations is then solved with an exact LU decomposition approach. In addition, the effects of several parameters on the convergence rate in the implicit scheme have been investigated for both external and internal flows. The implicit scheme has shown a speed up factor of more than an order of magnitude relative to the multi-stage explicit Runge-Kutta scheme for several demonstration problems.",
author = "Yuzhi Sun and Wang, {Z. J.} and Yen Liu and Chung-Lung Chen",
year = "2007",
month = jul,
day = "2",
doi = "10.2514/6.2007-313",
language = "English",
isbn = "1563478900",
series = "Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting",
pages = "3817--3827",
booktitle = "Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting",
note = "null ; Conference date: 08-01-2007 Through 11-01-2007",
}