General-relativistic radiation transport scheme in Gmunu I: Implementation of two-moment based multi-frequency radiative transfer and code tests

General-relativistic radiation transport scheme in Gmunu I: Implementation of two-moment based multi-frequency radiative transfer and code tests

Patrick Chi-Kit Cheong, Harry Ho-Yin Ng, Alan Tsz-Lok Lam, Tjonnie Guang Feng Li.
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Abstract

We present the implementation of two-moment based general-relativistic multi-group radiation transport module in the 𝙢eneral-relativistic πš–πšžltigrid πš—πšžmerical (π™Άπš–πšžπš—πšž) code.
On top of solving the general-relativistic magnetohydrodynamics and the Einstein equations with conformally flat approximations, the code solves the evolution equations of the zeroth- and first-order moments of the radiations.

Analytic closure relation is used to obtain the higher order moments and close the system. The finite-volume discretisation has been adopted for the radiation moments. The advection in spatial and frequency spaces are handled explicitly.

In addition, the radiation-matter interaction terms, which are very stiff in the optically thick region, are solved implicitly.

Implicit-explicit Runge-Kutta schemes are adopted for time integration.

We test the implementation with a number of numerical benchmarks from frequency-integrated to frequency dependent cases.

Furthermore, we also illustrate the astrophysical applications in hot neutron star and core-collapse supernovae modellings, and compare with other neutrino transport codes.

Associated Fellows