# Divergence-free magnetohydrodynamics on conformally moving, adaptive meshes using a vector potential method

@article{Fragile2018DivergencefreeMO, title={Divergence-free magnetohydrodynamics on conformally moving, adaptive meshes using a vector potential method}, author={P. Chris Fragile and Daniel Nemergut and P. L. Shaw and Peter Anninos}, journal={J. Comput. Phys. X}, year={2018}, volume={2}, pages={100020} }

## 5 Citations

### An Extension of Gmunu: General-relativistic Resistive Magnetohydrodynamics Based on Staggered-meshed Constrained Transport with Elliptic Cleaning

- PhysicsThe Astrophysical Journal Supplement Series
- 2022

We present the implementation of general-relativistic resistive magnetohydrodynamics solvers and three divergence-free handling approaches adopted in the General-relativistic multigrid numerical…

### The Role of Strong Magnetic Fields in Stabilizing Highly Luminous Thin Disks

- Physics, GeologyThe Astrophysical Journal
- 2022

We present and analyze a set of three-dimensional, global, general relativistic radiation magnetohydrodynamic simulations of thin, radiation-pressure-dominated accretion disks surrounding a…

### Divergence error based $p$-adaptive discontinuous Galerkin solution of time-domain Maxwell's equations

- Computer ScienceProgress In Electromagnetics Research B
- 2022

Divergence error is used as an indicator to dynamically identify and assign spatial operators of varying accuracy to substantial regions in the computational domain and results in a reduced computational cost than a comparable discontinuous Galerkin time-domain solution using uniform degree piecewise polynomial bases throughout.

### Future Simulations of Tidal Disruption Events

- Physics
- 2020

This chapter presents a summary of the key problems of the field for which simulations offer the greatest promise and the capabilities required to make progress on them and discusses what has been—and what cannot be—done with existing numerical methods.

### Future Simulations of Tidal Disruption Events

- PhysicsSpace Science Reviews
- 2020

Tidal disruption events involve numerous physical processes (fluid dynamics, magnetohydrodynamics, radiation transport, self-gravity, general relativistic dynamics) in highly nonlinear ways, and,…

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