On the Stability and Accuracy of the Spectral Difference Method

In this article, it is shown that under certain conditions, the spectral difference (SD) method is independent of the position of the solution points. This greatly simplifies the design of such schemes, and it also offers the possibility of a significant increase in the efficiency of the method. Furthermore, an accuracy and stability study, based on wave propagation analysis, is presented for several 1D and 2D SD schemes. It was found that higher than second-order 1D SD schemes using the Chebyshev

• Type: Journal
• Year: 2008
• Where: JSCIC
• Authors: Kris Van den Abeele, Chris Lacor, Z. J. Wang
• Keywords: JSCIC 2008, SD Schemes, Spectral Difference, Weak Instability