TY - JOUR
T1 - An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids
JO - Communications in Computational Physics
VL - 5
SP - 978
EP - 996
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7714.html
KW - 
AB - <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>