MHD-kinetic hybrid code based on structure-preserving finite elements with particles-in-cell

We present a STRUcture-Preserving HYbrid code - STRUPHY for the simulation of magneto-hydrodynamic (MHD) waves interacting with population energetic particles far from thermal equilibrium (kinetic species). The implemented model features linear, ideal MHD equations in curved, three-dimensional space, coupled nonlinearly to full-orbit Vlasov via current coupling scheme. algorithm is based on finite element exterior calculus (FEEC) and particle-in-cell (PIC) methods kinetic part; it provably conserves mass, energy, divergence-free magnetic field, irrespective metric (= space curvature), mesh parameters chosen order These properties enable reliable long-time simulations particle physics complex geometries, covering whole range waves. In STRUPHY, spaces are built tensor products univariate B-splines logical cuboid can be made high-order by increasing polynomial degree. Time-stepping skew-symmetric splitting implicit sub-steps, mitigating CFL conditions fast magneto-acoustic High-order time schemes used this regard.