Electromagnetic direct implicit plasma simulation
Journal of Computational Physics
Computer simulation using particles
Computer simulation using particles
Performance and optimization of direct implicit particle simulation
Journal of Computational Physics
A second-order implicit particle mover with adjustable damping
Journal of Computational Physics
A numerical method for suspension flow
Journal of Computational Physics
An adaptive grid with directional control
Journal of Computational Physics
On a finite-element method for solving the three-dimensional Maxwell equations
Journal of Computational Physics
Accurate numerical solution of charged particle motion in a magnetic field
Journal of Computational Physics
Blob method for kinetic plasma simulation with variable-size particles
Journal of Computational Physics
Efficient management of parallelism in object-oriented numerical software libraries
Modern software tools for scientific computing
Grid and particle hydrodynamics: beyond hydrodynamics via fluid element particle-in-cell
Journal of Computational Physics
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
Journal of Computational Physics
The &Dgr; • = 0 constraint in shock-capturing magnetohydrodynamics codes
Journal of Computational Physics
The Hybrid Multiscale Simulation Technology: An Introduction with Application to Space and Plasma Physics
Hyperbolic divergence cleaning for the MHD equations
Journal of Computational Physics
A simplified implicit maxwell solver
Journal of Computational Physics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids
Journal of Computational Physics
Short Note: Controlling self-force errors at refinement boundaries for AMR-PIC
Journal of Computational Physics
Journal of Computational Physics
Multi-scale simulations of plasma with iPIC3D
Mathematics and Computers in Simulation
A Multi Level Multi Domain Method for Particle In Cell plasma simulations
Journal of Computational Physics
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We review the application of particle simulation techniques to the full kinetic study of space weather events. We focus especially on the methods designed to overcome the difficulties created by the tremendous range of time and space scales present in the physical systems. We review the aspects of the derivation of the particle in cell (PIC) method relevant to the discussion. We consider first the explicit formulation highlighting its severe limitations due to the presence of stability constraints. Next we introduce implicit methods designed to remove such constraints. We describe both fully implicit methods based on the use of non-linear iteration solvers and semi-implicit methods based on the linearization of the coupling and on simpler linear solvers. We focus the discussion on the implicit moment method but remark its differences from the direct implicit method. The application of adaptive methods within PIC is discussed. Finally practical considerations about the implementation of the implicit PIC method on massively parallel computers to conduct studies of space weather events are given.