Shock-avoiding slicing conditions: tests and calibrations
Abstract
While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternative "shock-avoiding" slicing conditions suggested by Alcubierre prevent these pathologies in those examples, but have not yet been explored and tested very broadly. In this paper we compare the performance of shock-avoiding slicing conditions with those of 1+log slicing for a number of "text-book" problems, including black holes and relativistic stars. While, in some simulations, the shock-avoiding slicing conditions feature some unusual properties and lead to more "gauge-dynamics" than the 1+log slicing condition, we find that they perform quite similarly in terms of stability and accuracy, and hence provide a very viable alternative to 1+log slicing.
Cite
@article{arxiv.2207.06376,
title = {Shock-avoiding slicing conditions: tests and calibrations},
author = {Thomas W. Baumgarte and David Hilditch},
journal= {arXiv preprint arXiv:2207.06376},
year = {2022}
}
Comments
10 pages, 11 figures