Gmunu: Paralleled, grid-adaptive, general-relativistic magnetohydrodynamics in curvilinear geometries in dynamical spacetimes

Abstract

We present an update of the General-relativistic multigrid numerical (Gmunu) code, a parallelized, multi-dimensional curvilinear, general relativistic magnetohydrodynamics code with an efficient non-linear cell-centred multigrid (CCMG) elliptic solver, which is fully coupled with an efficient block-based adaptive mesh refinement modules. Currently, Gmunu is able to solve the elliptic metric equations in the conformally flat condition (CFC) approximation with the multigrid approach and the equations of ideal general-relativistic magnetohydrodynamics by means of high-resolution shock-capturing finite volume method with reference-metric formularise multi-dimensionally in cartesian, cylindrical or spherical geometries. To guarantee the absence of magnetic monopoles during the evolution, we have developed an elliptical divergence cleaning method by using multigrid solver. In this paper, we present the methodology, full evolution equations and implementation details of our code Gmunu and its properties and performance in some benchmarking and challenging relativistic magnetohydrodynamics problems.

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• MPI-AMRVAC 3.0: updates to an open-source simulation framework
• Lessons for adaptive mesh refinement in numerical relativity
• GRMHD Simulations and Modeling for Jet Formation and Acceleration Region in AGNs
• General-relativistic radiation transport scheme in $\text{Gmunu}$ I: Implementation of two-moment based multi-frequency radiative transfer and code tests
• An extension of Gmunu: General-relativistic resistive magnetohydrodynamics based on staggered-meshed constrained transport with elliptic cleaning
• Gamma-ray bursts and kilonovae from the accretion-induced collapse of white dwarfs
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• General relativistic hydrodynamics code for dynamical spacetimes with curvilinear coordinates, tabulated equations of state, and neutrino physics
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• Gamma-ray Signatures of r-Process Radioactivity from the Collapse of Magnetized White Dwarfs
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• Fundamental modes of rotating neutron stars with various degrees of differential rotation in dynamical spacetimes
• MIR: a general-relativistic resistive-magneto-hydrodynamic code to study the effect of resistivity in Neutron Star dynamics