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Axisymmetric Hydrodynamics in Numerical Relativity Using a Multipatch Method

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Pfeiffer,  Harald P.
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2005.01848.pdf
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Citation

Jesse, J., Duez, M. D., Foucart, F., Haddadi, M., Knight, A. L., Cadenhead, C. L., et al. (2020). Axisymmetric Hydrodynamics in Numerical Relativity Using a Multipatch Method. Classical and Quantum Gravity, 37(23): 235010. doi:10.1088/1361-6382/abbc8b.


Cite as: http://hdl.handle.net/21.11116/0000-0006-701F-A
Abstract
We describe a method of implementing the axisymmetric evolution of general-relativistic hydrodynamics and magnetohydrodynamics through modification of a multipatch grid scheme. In order to ease the computational requirements required to evolve the post-merger phase of systems involving binary compact massive objects in numerical relativity, it is often beneficial to take advantage of these system's tendency to rapidly settle into states that are nearly axisymmetric, allowing for 2D evolution of secular timescales. We implement this scheme in the Spectral Einstein Code (SpEC) and show the results of application of this method to four test systems including viscosity, magnetic fields, and neutrino radiation transport. Our results show that this method can be used to quickly allow already existing 3D infrastructure that makes use of local coordinate system transformations to be made to run in axisymmetric 2D with comparable results.