Abstract
An efficient implicit lower-upper symmetric Gauss-Seidel (LU-SGS) solution approach has been applied to a high order spectral volume (SV) method for unstructured tetrahedral grids. The LU-SGS solver is preconditioned by the block element matrix and the system of equations is then solved with a LU decomposition. The compact feature of SV reconstruction facilitates the efficient solution algorithm even for high order discretizations. The developed implicit solver has shown more than an order of magnitude of speed-up relative to the Runge-Kutta explicit scheme for typical inviscid and viscous problems. A convergence to a high order solution for high Reynolds number transonic flow over a 3D wing with a one equation turbulence model is also indicated.
Original language | English |
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Pages (from-to) | 978-986 |
Number of pages | 9 |
Journal | Communications in Computational Physics |
Volume | 6 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2009 Nov |
Externally published | Yes |
Keywords
- High-order
- Implicit method
- Spectral volume
- Unstructured grid
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)