Abstract
A physics-based-adaptive plasma model and an appropriate computational algorithm are developed to numerically simulate plasma phenomena in high fidelity. %The physics-based-adaptive plasma model is dynamically refined based on the local conditions to provide uniform model fidelity throughout the domain at all times of the simulation. The physics-based-adaptive plasma model can be dynamically refined based on the local plasma conditions to increase model fidelity uniformity throughout the domain at all times of the simulation. %The adaptive plasma model uses continuum representations of the plasma, which include a kinetic Boltzmann model for the highest fidelity, multi-fluid plasma models (13N-moment and 5$N$-moment), and single-fluid MHD models for the lowest fidelity. The adaptive plasma model uses continuum representations of the plasma, which include a kinetic Vlasov model for the highest fidelity, multi-fluid 5$N$-moment plasma model, and single-fluid MHD model for the lowest fidelity. The models include evolution equations for the electromagnetic fields, electron species, ion species, and neutral species. A nodal discontinuous Galerkin finite element method is implemented and is coupled with various implicit and explicit Runge-Kutta methods. Various model coupling techniques are investigated for a 5$N$-moment multi-fluid models with a Vlasov-Maxwell model, and a 5$N$-moment two-fluid model with an MHD model. Continuum plasma models using consistent normalizations and identical spatial representations provide straightforward and accurate coupling between the models. %The solution approach offers the potential for high-order accuracy and computational efficiency. The solution approach offers high-order accuracy and computational efficiency. Target compute platforms are heterogeneous computer architectures using a compute model that minimizes data movement.
Highlights
There are a wide variety of computational plasma models available which balance physical accuracy with simplifying approximations
The investigation is performed using a high-order discontinuous Galerkin finite element method [13,14,15], involving the continuum kinetic multi-species plasma model, 5N-moment multi-fluid plasma model, and magnetohydrodynamics (MHD) models, implemented in the WARPXM (Washington Approximate Riemann Plasma) codes [12, 16, 17], which provides a general framework for performing parallel computational plasma physics simulations
Spatial coupling of different plasma models is facilitated by derivations of the governing equations that use a consistent formulation and normalization, which allows direct translation between models of higher and lower physical fidelity
Summary
There are a wide variety of computational plasma models available which balance physical accuracy with simplifying approximations. The investigation is performed using a high-order discontinuous Galerkin finite element method [13,14,15], involving the continuum kinetic multi-species plasma model, 5N-moment multi-fluid plasma model, and magnetohydrodynamics (MHD) models, implemented in the WARPXM (Washington Approximate Riemann Plasma) codes [12, 16, 17], which provides a general framework for performing parallel computational plasma physics simulations. There has been work to couple different numerical methods [23] investigating a blended finite element method to solve the five moment multi-fluid plasma model [12]. In this work, coupling procedures between plasma models are presented, including between the MHD and 5N-moment multi-fluid models as well as between the 5N-moment multifluid model and continuum kinetics. An implementation of the kinetic model on a mixed structured/unstructured mesh is described that facilitates coupling to the 5N-moment multi-fluid plasma model.
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