A short note on reconstruction variables in shock capturing schemes for magnetohydrodynamics

@article{Miyoshi2020ASN,
  title={A short note on reconstruction variables in shock capturing schemes for magnetohydrodynamics},
  author={Takahiro Miyoshi and Takashi Minoshima},
  journal={J. Comput. Phys.},
  year={2020},
  volume={423},
  pages={109804}
}
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References

SHOWING 1-10 OF 24 REFERENCES

Regular Article: A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics

This paper presents a computational scheme for compressible magnetohydrodynamics (MHD). The scheme is based on the same elements that make up many modern compressible gas dynamics codes: a…

A multidimensional upwind scheme for magnetohydrodynamics

This paper describes a second-order upwind scheme for multidimensional magnetohydrodynamics, which uses a linear approximation for all Riemann problems except those involving strong rarefactions.…

Magnetohydrodynamic simulation code CANS+: Assessments and applications

Numerical tests with various computational cell sizes exhibited a convergent picture of the early nonlinear growth of the MRI in a global model, and indicated that the MP5 scheme has more than twice the resolution of the MUSCL scheme in practical applications.

A Multistate Low-dissipation Advection Upstream Splitting Method for Ideal Magnetohydrodynamics

A new numerical scheme for ideal magnetohydrodynamic (MHD) simulations is developed, which is robust against one- and multi-dimensional shocks, and is accurate for low Mach number flows and discontinuities, and must be a promising tool to tackle astrophysical systems that include both low and highMach number flows, as well as magnetic field inhomogeneities.

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes

Based on a large number of tests, the projection scheme, one of the new central difference based schemes, and the constrained transport schemes are found to be the most accurate and reliable among the examined methods.

Total Variation Diminishing Scheme for Adiabatic and Isothermal Magnetohydrodynamics

In this paper a total variation diminishing (TVD) scheme is constructed for solving the equations of ideal adiabatic and isothermal MHD. It is based on an extremely efficient formulation of the MHD…

Hyperbolic divergence cleaning for the MHD equations

A new approach to the stabilization of numerical schemes in magnetohydrodynamic processes in which the divergence errors are transported to the domain boundaries with the maximal admissible speed and are damped at the same time is developed.

Second-Order-accurate Schemes for Magnetohydrodynamics with Divergence-free Reconstruction

While working on an adaptive mesh refinement (AMR) scheme for divergence-free magnetohydrodynamics (MHD), Balsara discovered a unique strategy for the reconstruction of divergence-free vector fields.…

Efficient implementation of essentially non-oscillatory shock-capturing schemes,II