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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations

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.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Pages3817-3827
Number of pages11
DOIs
StatePublished - 2 Jul 2007
Event45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
Duration: 8 Jan 200711 Jan 2007

Publication series

NameCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Volume6

Conference

Conference45th AIAA Aerospace Sciences Meeting 2007
CountryUnited States
CityReno, NV
Period8/01/0711/01/07

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    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. In Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting (pp. 3817-3827). (Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting; Vol. 6). https://doi.org/10.2514/6.2007-313