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Shock-avoiding slicing conditions: tests and calibrations

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arxiv 2207.06376 v1 pith:P5OZS2L6 submitted 2022-07-13 gr-qc

Shock-avoiding slicing conditions: tests and calibrations

Thomas W. Baumgarte , David Hilditch This is my paper
classification gr-qc
keywords slicingconditionsshock-avoidingsomealternativebeenconditionexamples
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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