EGU22-6012, updated on 28 Mar 2022
https://doi.org/10.5194/egusphere-egu22-6012
EGU General Assembly 2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

Evaluations of Numerical Flux Schemes of a Coronal MHD Model

Fan Zhang1, Barbara Perri1, Michaela Brchnelova1, Tinatin Baratashvili1, Błażej Kuźma1, Peter Leitner2, Andrea Lani1, and Stefaan Poedts1,3
Fan Zhang et al.
  • 1Centre for mathematical Plasma-Astrophysics, Department of Mathematics, KU Leuven, Belgium (fan.zhang@kuleuven.be)
  • 2Institute of Physics, University of Graz, Austria
  • 3Institute of Physics, University of Maria Curie-Skłodowska, Poland

Space weather forecasting requires precise estimation of the arrival time of eruptive events, which typically propagate through and interact with the solar atmosphere and solar wind. Therefore, the arrival time estimation depends on the accuracy of modelling the solar atmosphere and the complex interactions. For instance, the EUHFORIA 2.0 project expects an accurate and efficient coronal model that covers the region from the surface of the Sun up to 0.1AU, serving as the inner boundary condition for the heliospheric model.

Based on the open-source code COOLFluiD, we have developed a fully implicit MHD coronal model. The model has been validated by data-driven coronal simulations, and the fully implicit temporal solution significantly accelerates the numerical simulations. More physical mechanisms, e.g., the heating term(s), and numerical techniques, e.g., high-order schemes, are being developed to improve this model further. In this work, we specifically focus on the numerical flux schemes (Lax-Friedrichs, HLL, etc.) of the finite-volume MHD solver used by the coronal model, and evaluate their performance and impact on the coronal simulations. Both the internal structures and the quantities at the outer boundary are quantitatively compared.

This research has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 870405 (EUHFORIA 2.0).

 

How to cite: Zhang, F., Perri, B., Brchnelova, M., Baratashvili, T., Kuźma, B., Leitner, P., Lani, A., and Poedts, S.: Evaluations of Numerical Flux Schemes of a Coronal MHD Model, EGU General Assembly 2022, Vienna, Austria, 23–27 May 2022, EGU22-6012, https://doi.org/10.5194/egusphere-egu22-6012, 2022.

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