Efficient implicit LU-SGS algorithm for high-order spectral difference method on unstructured hexahedral grids

Yuzhi Sun*, Z. J. Wang, Yen Liu, Chung-Lung Chen

*Corresponding author for this work

研究成果: Conference contribution

12 引文 斯高帕斯(Scopus)

摘要

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.

原文English
主出版物標題Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
頁面3817-3827
頁數11
DOIs
出版狀態Published - 2 七月 2007
事件45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
持續時間: 8 一月 200711 一月 2007

出版系列

名字Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
6

Conference

Conference45th AIAA Aerospace Sciences Meeting 2007
國家United States
城市Reno, NV
期間8/01/0711/01/07

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  • 引用此

    Sun, Y., Wang, Z. J., Liu, Y., & Chen, C-L. (2007). Efficient implicit LU-SGS algorithm for high-order spectral difference method on unstructured hexahedral grids. 於 Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting (頁 3817-3827). (Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting; 卷 6). https://doi.org/10.2514/6.2007-313