@Article{CiCP-6-5,
author = {},
title = {An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids},
journal = {Communications in Computational Physics},
year = {2009},
volume = {6},
number = {5},
pages = {978--996},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/2009-CiCP-7714},
url = {https://global-sci.com/article/81178/an-implicit-lu-sgs-scheme-for-the-spectral-volume-method-on-unstructured-tetrahedral-grids}
}