An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

Year:    2009

Communications in Computational Physics, Vol. 6 (2009), Iss. 5 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7714

Communications in Computational Physics, Vol. 6 (2009), Iss. 5 : pp. 978–996

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords: