A New MHD Code with Adaptive Mesh Refinement and Parallelization for Astrophysics
arXiv:1204.5849 · doi:10.1016/j.cpc.2012.02.030
Abstract
A new code, named MAP, is written in Fortran language for magnetohydrodynamics (MHD) calculation with the adaptive mesh refinement (AMR) and Message Passing Interface (MPI) parallelization. There are several optional numerical schemes for computing the MHD part, namely, modified Mac Cormack Scheme (MMC), Lax-Friedrichs scheme (LF) and weighted essentially non-oscillatory (WENO) scheme. All of them are second order, two-step, component-wise schemes for hyperbolic conservative equations. The total variation diminishing (TVD) limiters and approximate Riemann solvers are also equipped. A high resolution can be achieved by the hierarchical block-structured AMR mesh. We use the extended generalized Lagrange multiplier (EGLM) MHD equations to reduce the non-divergence free error produced by the scheme in the magnetic induction equation. The numerical algorithms for the non-ideal terms, e.g., the resistivity and the thermal conduction, are also equipped in the MAP code. The details of the AMR and MPI algorithms are described in the paper.
44 pages, 16 figures
References in corpus (13)
- PLUTO: a Numerical Code for Computational Astrophysics
- An Unsplit Godunov Method for Ideal MHD via Constrained Transport
- A High Order Godunov Scheme with Constrained Transport and Adaptive Mesh Refinement for Astrophysical MHD
- An Unsplit Godunov Method for Ideal MHD via Constrained Transport in Three Dimensions
- CASTRO: A New Compressible Astrophysical Solver. I. Hydrodynamics and Self-Gravity
- Divergence-Free Adaptive Mesh Refinement for Magnetohydrodynamics
- Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation
- Crash: A Block-Adaptive-Mesh Code for Radiative Shock Hydrodynamics - Implementation and Verification
- CASTRO: A New Compressible Astrophysical Solver. II. Gray Radiation Hydrodynamics
- Self-gravitational Magnetohydrodynamics with Adaptive Mesh Refinement for Protostellar Collapse
- Constrained-Transport Magnetohydrodynamics with Adaptive-Mesh-Refinement in CHARM
- Numerical Simulations of Chromospheric Microflares
- Fan-shaped jets in three dimensional reconnection simulation as a model of ubiquitous solar jets
Cited by in corpus (8)
- Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
- Numerical Simulation of Solar Microflares in a Canopy-Type Magnetic Configuration
- Jet formation in solar atmosphere due to magnetic reconnection
- I. Jet Formation and Evolution due to 3D Magnetic Reconnection
- Spicule jets in the solar atmosphere modeled with resistive MHD and thermal conduction
- MAGNUS: A new resistive MHD code with heat flow terms
- Analysis of 3D plasma motions in a chromospheric jet formed due to magnetic reconnection
- Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics