Tittle: Relativistic HPIC-LBM and its application in large temporal-spatial turbulent magnetic reconnection. Part I. model development and validation.
Abstract: Magnetic energy release conversion, plasma heating and charged particle energization- acceleration in the magnetic fluctuation-induced self-generating-organization region and the plasma turbulence-induced self-feeding-sustaining region are key issues for large temporal-spatial scale turbulent magnetic reconnection (LTSTMR; observed current sheet thickness to characteristic electron length, electron Larmor radius for low-β and electron inertial length for high-β, ratios on the order of 1010∼1011; observed evolution time to electron cyclotron time ratios on the order of 1010∼1011) that ranges from Earth’s mag- netosphere to solar eruptions and other astrophysical phenomena. As the first part of a two-paper series, this paper introduces a relativistic hybrid particle-in-cell and lattice Boltzmann (RHPIC-LBM) model that describes the continuous kinetic-dynamic-hydro fully coupled LTSTMR evolution process. First, based on the governing equations of resistive rel- ativistic magnetohydrodynamics (MHD), the relativistic discrete distribution functions for a magnetic field (D3Q7), electric field (D3Q13), electromagnetic field (D3Q13), charged par- ticle (D3Q19) and neutral particle (D3Q27) of different plasma species are obtained for the RHPIC-LBM lattice grid. Then, the numerical process, algorithm, pseudocode, flowchart and GPU-CPU heterogenous framework of the RHPIC-LBM are described. Finally, this model is tested and validated on Tianhe-2 from the National Supercomputer Center in Guang Zhou (NSCC-GZ) with 10,000 ∼ 100,000 CPU cores and 50∼120 hours per case. We inves- tigate the solar atmosphere LTSTMR activities, including the picoscale (10-2 m ∼ 105 m), nanoscale (105 m ∼ 106 m), microscale (106 m ∼ 107 m), macroscale (107 m ∼ 108 m) and large hydroscale (108 m ∼ 109 m). All the simulation results are consistent with obser- vations and theories. The validated model is applied to explore the turbulence evolution
Citation: Zhu B., Yan H., Zhong Y., Chen J., Du Y., Cheng H., Yuen D.A. (2020). Relativistic HPIC-LBM and its application in large temporal-spatial turbulent magnetic reconnection. Part I. model development and validation. Applied Mathematical Modelling, 78, 932–967.
