An efficient method for fully relativistic simulations of coalescing binary neutron stars

Statistics – Computation

Scientific paper

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Scientific paper

The merger of two neutron stars has been proposed as a source of gamma-ray bursts, r-process elements, and detectable gravitational waves. Extracting information from observations requires fully relativistic simulations. Unfortunately, the only demonstrated method for stably evolving neutron stars requires solving elliptic equations at each time step, adding substantially to the computational resources required. In this thesis we present a simpler, more efficient method. The key insight is in how we apply numerical diffusion. We perform a number of tests to validate the method and our implementation, finishing with a rough simulation of coalescence and extraction of the gravitational waves.

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