The field of plasma simulations is experiencing significant growth, driven by the development of innovative numerical methods. Recent research has focused on improving the accuracy and efficiency of simulations, particularly in the context of multiphysics systems and nonlinear phenomena. Multirate integration methods, such as multirate Runge-Kutta, are being explored to enable the simulation of complex systems with multiple timescales. Additionally, semi-Lagrangian methods and asymptotic preserving schemes are being developed to address the challenges of simulating plasma behavior in various regimes. Noteworthy papers in this area include the development of a multirate nonlinearly partitioned Runge-Kutta method, which allows for arbitrary nonlinear splittings of the evolution operator, and the proposal of a novel structure-preserving discretization for viscous and resistive magnetohydrodynamics using finite elements. These advancements have the potential to significantly impact the field of plasma simulations, enabling more accurate and efficient modeling of complex phenomena.
Advances in Numerical Methods for Plasma Simulations
Sources
Multirate Runge-Kutta for Nonlinearly Partitioned Systems
Time-integration of Gaussian variational approximation for the magnetic Schr\"odinger equation
Semi-Lagrangian methods of a plasma hybrid model with multi-species kinetic ions and massless electrons
The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system
The Linearized Vlasov-Maxwell System as a Hamiltonian System
Chew, Goldberger & Low Equations: Eigensystem Analysis and Applications to One-Dimensional Test Problems
Variational discretizations of viscous and resistive magnetohydrodynamics using structure-preserving finite elements
An asymptotic preserving scheme for the M1model of non-local thermal transport for two-dimensional structured and unstructured meshes