Departament d'Astronomia i Astrofísica
Universitat de València

    Interfaces in Numerical Relativistic Hydrodynamics

Dr. Stephen Millmore

School of Mathematics, University of Southampton, England

Seminari del departament d'Astronomia i Astrofísica

Dijous 17 juny 2010



Current non-linear numerical simulations of neutron stars use single component models. However, evidence suggests that there are several different regions present within a neutron star. Qualitatively different behaviour is expected to occur within these regions and can be characterised by the equation of state. Problems arise when modelling a single component neutron star with a spatially varying equation of state, due to instabilities in the numerical methods. An alternative method of dealing with these regions is to use a multicomponent model. In such a case, level set methods can be used to track the interface between components. Boundary conditions must then be chosen and imposed at any interfaces to model the interaction between the fluid components correctly. Such techniques have been used with success in Newtonian computational fluid dynamics. Here I shall present an extension of these techniques to relativistic situations, and construct a simple multicomponent star model in general relativity by applying this extension. I then will provide some insight into the extension of these techniques for multidimensional situations.