Numerical stability of the AA evolution system compared to the ADM and BSSN systems

Jansen, Nina; Bruegmann, Bernd; Tichy, Wolfgang

Numerical stability of the AA evolution system compared to the ADM and BSSN systems

Authors

Jansen, Nina

Bruegmann, Bernd

Tichy, Wolfgang

Description

We explore the numerical stability properties of an evolution system suggested by Alekseenko and Arnold. We examine its behavior on a set of standardized testbeds, and we evolve a single black hole with different gauges. Based on a comparison with two other evolution systems with well-known properties, we discuss some of the strengths and limitations of such simple tests in predicting numerical stability in general.
16 pages, 12 figures