Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
arXiv:0708.0323 · doi:10.1111/j.1365-2966.2007.12448.x
Abstract
The paper describes a new upwind conservative numerical scheme for special relativistic resistive magnetohydrodynamics with scalar resistivity. The magnetic field is kept approximately divergence free and the divergence of the electric field consistent with the electric charge distribution via the method of Generalized Lagrange Multiplier. The hyperbolic fluxes are computed using the HLL prescription and the source terms are accounted via the time-splitting technique. The results of test simulations show that the scheme can handle equally well both resistive current sheets and shock waves and thus can be a useful tool for studying phenomena of relativistic astrophysics that involve both colliding supersonic flows and magnetic reconnection.
submitted to MNRAS
References in corpus (22)
- PLUTO: a Numerical Code for Computational Astrophysics
- HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
- ECHO: an Eulerian Conservative High Order scheme for general relativistic magnetohydrodynamics and magnetodynamics
- Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics
- Electrodynamics of black hole magnetospheres
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics
- On the relativistic magnetic reconnection
- Relativistic Magnetohydrodynamics In Dynamical Spacetimes: Numerical Methods And Tests
- WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics
- Numerical 3+1 general relativistic magnetohydrodynamics: a local characteristic approach
- A Numerical Method for General Relativistic Magnetohydrodynamics
- An HLLC Solver for Relativistic Flows -- II. Magnetohydrodynamics
- General relativistic MHD simulations of monopole magnetospheres of black holes
- Cosmos++: Relativistic Magnetohydrodynamics on Unstructured Grids with Local Adaptive Refinement
- Dynamics of relativistic reconnection
- General Relativistic Force-Free Electrodynamics: A New Code and Applications to Black Hole Magnetospheres
- Magnetohydrodynamics in full general relativity: Formulation and tests
- Relativistic MHD with Adaptive Mesh Refinement
- Two-dimensional MHD simulations of relativistic magnetic reconnection
- Ohm's Law for a Relativistic Pair Plasma
- Relativistic MHD and black hole excision: Formulation and initial tests
- Ohm's Law in the Fast Lane: General Relativistic Charge Dynamics
Cited by in corpus (92)
- The Physics of Gamma-Ray Bursts and Relativistic Jets
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
- Very High Order $\PNM$ Schemes on Unstructured Meshes for the Resistive Relativistic MHD Equations
- Beyond ideal MHD: towards a more realistic modeling of relativistic astrophysical plasmas
- General-relativistic resistive magnetohydrodynamics in three dimensions: Formulation and tests
- Time-Dependent 3D Magnetohydrodynamic Pulsar Magnetospheres: Oblique Rotators
- Physics of Gamma-Ray Bursts Prompt Emission
- Magnetic Reconnection in Extreme Astrophysical Environments
- A fully covariant mean-field dynamo closure for numerical 3+1 resistive GRMHD
- General-relativistic resistive-magnetohydrodynamic simulations of binary neutron stars
- Accurate Simulations of Binary Black-Hole Mergers in Force-Free Electrodynamics
- Three-Dimensional Relativistic Magnetohydrodynamic Simulations of Current-Driven Instability. III. Rotating Relativistic Jets
- Magnetic fields in heavy ion collisions: flow and charge transport
- Intense Electromagnetic Outbursts from Collapsing Hypermassive Neutron Stars
- General Relativistic Magnetohydrodynamic Simulations of the Hard State as a Magnetically-Dominated Accretion Flow
- Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement
- Understanding possible electromagnetic counterparts to loud gravitational wave events: Binary black hole effects on electromagnetic fields
- Binary black holes' effects on electromagnetic fields
- Vacuum Electromagnetic Counterparts of Binary Black-Hole Mergers
- General relativistic resistive magnetohydrodynamics with robust primitive variable recovery for accretion disk simulations
- Fast reconnection in relativistic plasmas: the magnetohydrodynamics tearing instability revisited
- A new general relativistic magnetohydrodynamics code for dynamical spacetimes
- High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics
- Modeling magnetized neutron stars using resistive MHD
- Two-Fluid Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
- Viscous and Resistive Effects on the MRI with a Net Toroidal Field
- Application of the Cubed-Sphere Grid to Tilted Black-Hole Accretion Disks
- Collisions of charged black holes
- Numerical simulations of high Lundquist number relativistic magnetic reconnection
- A divergence-free semi-implicit finite volume scheme for ideal, viscous and resistive magnetohydrodynamics
- Spatial Growth of the Current-Driven Instability in Relativistic Jets
- Resistive Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
- A multidimensional grid-adaptive relativistic magnetofluid code
- PIC methods in astrophysics: Simulations of relativistic jets and kinetic physics in astrophysical systems
- Jet launching in resistive GR-MHD black hole - accretion disk systems
- A High-Order Relativistic Two-Fluid Electrodynamic Scheme with Consistent Reconstruction of Electromagnetic Fields and a Multidimensional Riemann Solver for Electromagnetism
- A Giant Metrewave Radio Telescope/Chandra view of IRAS 09104+4109: A type 2 QSO in a cooling flow
- rHARM: Accretion and Ejection in Resistive GR-MHD
- GR-MHD disk winds and jets from black holes and resistive accretion disks
- Collisions of oppositely charged black holes
- Robustness of the Blandford-Znajek mechanism
- Resistive relativistic MHD simulations of astrophysical jets
- A Fast Numerical Scheme for Causal Relativistic Hydrodynamics with Dissipation
- Testing the nonlinear stability of Kerr-Newman black holes
- Covariant and 3+1 Equations for Dynamo-Chiral General Relativistic Magnetohydrodynamics
- Numerical Treatment of Anisotropic Radiation Field Coupling with the Relativistic Resistive Magnetofluids
- Long-term evolution of a merger-remnant neutron star in general relativistic magnetohydrodynamics I: Effect of magnetic winding
- A New numerical scheme for resistive relativistic MHD using method of characteristics
- Scaling Law of Relativistic Sweet-Parker Type Magnetic Reconnection
- On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws
- A Constrained Transport Method for the Solution of the Resistive Relativistic MHD Equations
- Relativistic Magnetic Reconnection in Astrophysical Plasmas: A Powerful Mechanism of Nonthermal Emission
- Relativistic Tearing and Drift-kink Instabilities in Two-fluid Simulations
- Relativistic Two-fluid Simulations of Guide Field Magnetic Reconnection
- An HLLC Riemann Solver for Resistive Relativistic Magnetohydrodynamics
- Numerically solving the relativistic Grad-Shafranov equation in Kerr spacetimes: Numerical techniques
- Explosive reconnection of double tearing modes in relativistic plasmas: application to the Crab flares
- A novel structure preserving semi-implicit finite volume method for viscous and resistive magnetohydrodynamics
- The Role of the Equation of State in Resistive Relativistic Magnetohydrodynamics
- Dissipative relativistic magnetohydrodynamics of a multicomponent mixture and its application to neutron stars
- Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics
- Revisiting Hyperbolicity of Relativistic Fluids
- An extension of Gmunu: General-relativistic resistive magnetohydrodynamics based on staggered-meshed constrained transport with elliptic cleaning
- A multi-dimensional numerical scheme for two-fluid Relativistic MHD
- Relativistic outflows from a GRMHD mean-field disk dynamo
- Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions
- Directed flow in relativistic resistive magneto-hydrodynamic expansion for symmetric and asymmetric collision systems
- A resistive extension for ideal MHD
- Constraint preserving boundary conditions for the Ideal Newtonian MHD equations
- Nonradial and nonpolytropic astrophysical outflows. X. Relativistic MHD rotating spine jets in Kerr metric
- A Second-order Divergence-constrained Multidimensional Numerical Scheme for Relativistic Two-Fluid Electrodynamics
- Enhanced Dissipation Rate of Magnetic Field in Striped Pulsar Winds by the Effect of Turbulence
- Lattice Boltzmann model for resistive relativistic magnetohydrodynamics
- Relativistic reconnection with effective resistivity: I. Dynamics and reconnection rate
- Diffusivity in force-free simulations of global magnetospheres
- Propagation of Electromagnetic Waves in Resistive Pair Plasma and Causal Relativistic Magnetohydrodynamics
- Magnetic dissipation in short gamma-ray burst jets. I. Resistive relativistic MHD evolution in a model environment
- Linear Wave Propagation for Resistive Relativistic Magnetohydrodynamics
- Comparison of magnetic diffusion and reconnection in ideal and resistive relativistic magnetohydrodynamics, ideal magnetodynamics, and resistive force-free electrodynamics
- Resistive and multi-fluid RMHD on graphics processing units
- General-relativistic resistive-magnetohydrodynamics simulations of self-consistent magnetized rotating neutron stars
- Radio Dichotomy in Quasars with H FWHM greater than km\,s
- General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method
- High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations
- New frontiers in Numerical Relativity
- Numerical evolution of the resistive relativistic magnetohydrodynamic equations: a minimally implicit Runge-Kutta scheme
- Relativistic magnetic reconnection at X-type neutral points
- Resistive relativistic magnetohydrodynamics without Amperes Law
- On the Impact of the Numerical Method on Magnetic Reconnection and Particle Acceleration -- I. The MHD case
- MIR: a general-relativistic resistive-magneto-hydrodynamic code to study the effect of resistivity in Neutron Star dynamics
- Pseudospectral implementation of the Einstein-Maxwell system