A Computational Framework for Multi-Scale Simulations of Weakly Ionized Plasma

Abstract : The goal of this STTR project is to develop a unified computational framework integrating adequate physical models for simulating complex non-equilibrium plasmas. The project aims to classify possible scenarios of plasma dynamics and develop general recipes for clustering phase space into sub-domains evolving at different scales and efficiently solve the dynamics for each scale. During Phase I, we developed a methodology to apply methods of Invariant Manifolds and the Renormalization Group for reduced description of plasma kinetics and the transition from micro to macro. We have tested state-of-the-art deterministic Eulerian and Lagrangian kinetic solvers (Vlasov, Pokker-Planck, Poltzmann) , investigated new algorithms (such as adaptive mesh in velocity space) and implemented basic plasma capabilities within the Adaptive Mesh and Algorithm Refinement framework. We prepared Phase II work plan where the proposed methodology could he fully developed and implemented in the next generation software for multi-scale plasma simulations. The new capabilities would be valuable for low-pressure weakly-collisional plasma systems with stochastic electron heating and anomalous skin effect, and for high-pressure discharges with runaway electrons, e-beams, sparks and streamers.