# Solar Coronal Modeling by Path-conservative HLLEM Riemann Solver

@article{Li2018SolarCM, title={Solar Coronal Modeling by Path-conservative HLLEM Riemann Solver}, author={Caixia Li and Xueshang Feng and Changqing Xiang and Man Zhang and Huichao Li and Feng-si Wei}, journal={The Astrophysical Journal}, year={2018}, volume={867} }

In this paper, we employ a path-conservative HLLEM finite-volume method (FVM) to solve the solar wind magnetohydrodynamics (MHD) systems of extended generalized Lagrange multiplier (EGLM) formulation with Galilean invariance (G-EGLM MHD equations). The governing equations of single-fluid solar wind plasma MHD are advanced by using a one-step MUSCL-type time integration with the logarithmic spacetime reconstruction. The code is programmed in FORTRAN language with Message Passing Interface…

## 6 Citations

Modified Path-conservative HLLEM Scheme for Magnetohydrodynamic Solar Wind Simulations

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- PhysicsThe Astrophysical Journal
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A hyperbolic cell-centered finite volume solver (HCCFVS) is proposed to obtain the potential magnetic field solutions prescribed by the solar observed magnetograms. By introducing solution gradients…

Cell-Centered Finite Volume Methods

- Computer ScienceMagnetohydrodynamic Modeling of the Solar Corona and Heliosphere
- 2019

This chapter is devoted to the description of finite volume method, a discretization technique for partial differential equations, especially those that arise from physical conservation laws, and all the formulations are aimed to be applicable at least to the hexahedral cell.

Magnetohydrodynamic Modeling of the Solar Corona with an Effective Implicit Strategy

- PhysicsThe Astrophysical Journal Supplement Series
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In this paper, we design an effective and robust model to solve the 3D single-fluid solar wind plasma magnetohydrodynamics (MHD) problem of low plasma β. This MHD model is formulated on a…

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