An implicit LU-SGS scheme for the spectral volume method on unstructured tetrahedral grids

Takanori Haga, Keisuke Sawada, Z. J. Wang

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

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 languageEnglish
Pages (from-to)978-986
Number of pages9
JournalCommunications in Computational Physics
Volume6
Issue number5
DOIs
Publication statusPublished - 2009 Nov

Keywords

  • High-order
  • Implicit method
  • Spectral volume
  • Unstructured grid

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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