Numerical simulations of interfaces in relativistic hydrodynamics

Details Numerical simulations of interfaces in relativistic hydrodynamics Numerical simulations of interfaces in relativistic hydrodynamics

2009-09-23

arxiv.org/abs/0909.4217v1

Class.Quant.Grav.27:015007,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 17 figures

Scientific paper

10.1088/0264-9381/27/1/015007

We consider models of relativistic matter containing sharp interfaces across which the matter model changes. These models will be relevant for neutron stars with crusts, phase transitions, or for viscous boundaries where the length scale is too short to be modelled smoothly. In particular we look at numerical techniques that allow us to evolve stable interfaces, for the interfaces to merge, and for strong waves and shocks to interact with the interfaces. We test these techniques for ideal hydrodynamics in special and general relativity for simple equations of state, finding that simple level set-based methods extend well to relativistic hydrodynamics.

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