Relativistic multi-dimensional Boltzmann transport for neutrinos in astrophysical systems
by
Arthur Offermans
→
Europe/Berlin
Description
Modelling neutrinos in astrophysical systems requires to solve the 7D relativistic Boltzmann equation. Because of its high dimensionality, solving this equation is intrinsically extremely computationally expensive. To mitigate this problem, more affordable approximations to the Boltzmann equation are often used instead. However, it is difficult to gauge the effect of such approximations on the evolution of the system, unless we have access to the true solution. Therefore, we implemented a relativistic multi-dimensional Boltzmann solver in the GRMHD code Gmunu to compute these full solutions. In this talk, I will present our solver and discuss the main challenges of solving this 7D equation, both in terms of computational cost and accuracy. Then, I will discuss the performance of the solver on various test cases. Finally, I will present some preliminary results on its application to neutrino flavor instability.
