Numerical simulations of interfaces in relativistic hydrodynamics

Abstract

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.

21 pages, 17 figures

References in corpus (5)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• An efficient shock-capturing central-type scheme for multidimensional relativistic flows. I. Hydrodynamics
• How viscous is a superfluid neutron star core?
• Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics
• A new general purpose event horizon finder for 3D numerical spacetimes

Cited by in corpus (5)

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• Discontinuous Galerkin methods for general-relativistic hydrodynamics: formulation and application to spherically symmetric spacetimes
• A conservation law formulation of nonlinear elasticity in general relativity
• The nonlinear development of the relativistic two-stream instability