Simulation of compressible turbulent flows with an implicit LU-SGS algorithm for high-order spectral difference method on unstructured grids

Matteo Parsani, Kris Van Den Abeele, Chris Lacor, Eli Turkel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents the development of a two-dimensional high-order solver with an unstructured spectral difference (SD) method coupled with the nonlinear lower-upper sym- metric Gauss-Seidel method to solve the algebraic systems arising from SD discretizations with a second-order backward difference formula for time marching. The solver employs the formulations of Sun et al.1 and Van den Abeele et al.2 This method is used to solve the 2D flow around a circular cylinder at Re = 300, 800, 1000 and M = 0.05, the NACA0012 airfoil at Re = 50000 and M = 0.4 at zero angle of attack and the 2D flow around a square cylinder at Re = 10000 and M = 0.05. The obtained results are compared with reference solutions.

Original languageEnglish
Title of host publication19th AIAA Computational Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781563479755
DOIs
StatePublished - 2009

Publication series

Name19th AIAA Computational Fluid Dynamics Conference

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