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Volume 6, Issue 5
An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

Takanori Haga, Keisuke Sawada & Z. J. Wang

Commun. Comput. Phys., 6 (2009), pp. 978-996.

Published online: 2009-06

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  • 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.

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@Article{CiCP-6-978, author = {Takanori Haga, Keisuke Sawada and Z. J. Wang}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7714.html} }
TY - JOUR T1 - An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids AU - Takanori Haga, Keisuke Sawada & Z. J. Wang 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 -

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.

Takanori Haga, Keisuke Sawada and Z. J. Wang. (2009). An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids. Communications in Computational Physics. 6 (5). 978-996. doi:
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