Instabilities of the Skyrme Model

✍ Scribed by William Y. Crutchfield; John B. Bell

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 454 KB
• Volume: 110
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1994.1021

✦ Synopsis

Previous efforts to apply finite difference methods to the Skyrme model to simulate time evolution have discovered apparent numerical instabilities. As a result, previous authors have been forced to take unusually small time-steps and introduce artificial viscosity to maintain stability. This paper analyzes finite difference schemes for, the Skyrme model, demonstrates two mechanisms for the instability, and derives a corrective measure. A stable finite difference scheme in three dimensions which uses a factor of eight less memory than previous schemes is described. IC) 1994 Academic Press, Inc.