A comparison of TVD Lax-Wendroff methods

✍ Scribed by Rider, William J.

• Publisher: John Wiley and Sons
• Year: 1993
• Tongue: English
• Weight: 468 KB
• Volume: 9
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/cnm.1640090208

✦ Synopsis

Abstract

This paper compares two formulations of Lax–Wendroff TVD methods. The basis of comparison is to the results of several test problems providing both qualitative and quantitative results. Results show that using an upwind biased limiter provides higher resolution of both smooth and discontinuous solutions from a lower amount of induced numerical viscosity. The conclusion is that a limiter should have as small a support as possible in order to limit its effects if high resolution is the object.