Speaker
Description
Entropy is a physical shock detector. Entropy is only produced during irreversible processes, like shocks, therefore it can be used to flag and track highly non-smooth features present in the solution space of the problem we are investigating. In this talk, I will demonstrate how entropy can be employed in the design of a flux-limiter for a number of different problems that can be written in conservation form. I will show that this entropy based flux-limiting scheme effectively tracks the physical shocks during the evolution of a variety of different conservation laws (scalar equations, special and general relativistic hydrodynamics, binary neutron star mergers). Finally, I will present the first neutron star merger simulations with such a method and will demonstrate up to fourth-order convergence in the gravitational waveform phase.
