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Institute for Computational and Experimental Research in Mathematics (ICERM)

The spectacular observation of gravitational waves from a binary neutron star merger by the LIGO-Virgo Collaboration (GW170817), and a successful follow-up campaign by nearly every electromagnetic telescope ushered in this new era of multi-messenger astrophysics. Much of the understanding of such events arises from numerical modeling. An important part of this modeling is the inclusion in simulations of neutrino transport, as described by Boltzmann's equation. Because of inherent computational resource limits and given the high cost of the transport equations and the complexity of neutrino-matter interactions, there is a trade-off between computational cost and physical realism in all simulations. This workshop covers various approaches to solving the neutrino transport problem in compact object mergers and core-collapse supernovae, including Monte Carlo methods, moment truncation schemes, and other techniques.

Email: info@icerm.brown.edu

Institute for Computational and Experimental Research in Mathematics (ICERM)

Gravitational wave science requires high-fidelity numerical simulations of the expected merger events. The Simulating eXtreme Spacetimes (SXS) collaboration has managed the development of two distinct codes for this purpose: (i) the Spectral Einstein Code (SpEC) based on pseudospectral methods, and (ii) an open-source code SpECTRE, an hp-adaptive discontinuous Galerkin scheme that also includes a sub-cell finite volume scheme in regions of strong shock formation that is ideally suited for multi-scale, multi-physics problems. SpECTRE targets problems in multi-messenger astrophysics, including neutron star mergers, core-collapse supernovae, and gamma-ray bursts. It runs at petascale and is designed for future exascale computers. Our weeklong program includes two contemporaneous activities: (i) a focused SpEC and SpECTRE code developers meeting and (ii) a SpECTRE workshop. The code developers' meeting will bring together researchers who are actively developing these codebases. The SpECTRE workshop aims to provide graduate students, postdocs, and faculty with the tools needed to install, run, and contribute to the open-source code SpECTRE. Our SpECTRE workshop will cover topics such as the generalized harmonic formulation of the Einstein field equation, general relativistic hydrodynamics, the discontinuous Galerkin method with finite volume sub-cells, the Cauchy characteristic extraction method, installing, running, and visualizing numerical simulations, and how to get involved with code development.

Email: info@icerm.brown.edu

American Nuclear Society (ANS)