Advanced Time-Adaptive PIROCK Method with Error Control for Magnetic Reconnection Simulations in Chromospheric Environments (Q.M. Wargnier, Lockheed Martin Solar and Astrophysics Laboratory and Baeri)

18.06.2024 14:00

Understanding the heating mechanism of the Sun's chromosphere remains a central challenge in solar physics, with magnetic reconnection (MR) playing a pivotal role in its heating and dynamics. Recent observations have highlighted the significance of ion-neutral interactions, which current models struggle to fully incorporate. In this presentation, we will introduce a numerical simulation with a Multi-Fluid Multi-Species (MFMS) model to investigate MR in upper chromospheric environments, accounting for multi-fluid/multi-species interactions, including helium and hydrogen species.

The MFMS model is a multi-scale temporal model presenting challenges for temporal integration with classical integration methods. The model comprises stiff source terms from collisional or reactive effects, coupled with diffusion terms, and an increased number of equations due to the duplication for each fluid considered, complicating the time integration process. Therefore, our approach employs the second-order Partitioned Implicit-Explicit Runge-Kutta (PIROCK) method, renowned for its ability to handle complex convective-diffusive-reactive systems of equations like the MFMS model. Comparative analyses with alternative integration methods, including third-order explicit Runge-Kutta time integration and another method based on a first-order Lie splitting approach, underscore the superior computational efficiency and accuracy of PIROCK. Our findings underscore the vital role of particle decoupling in facilitating efficient heating mechanisms within the chromosphere, with implications for phenomena such as helium enrichment observed in switchbacks and coronal mass ejections.

Lieu

Bâtiment: Conseil Général 7-9

conference room, 8th floor (unusual room!), Séminaire d'analyse numérique

entrée libre