The MHD model of plasmas will be reviewed. Fundamental Finite-Difference schemes and a generic and robust Finite-Volume scheme for time-dependent fluid computations will be discussed.
The MHD model of plasmas will be reviewed. Fundamental Finite-Difference schemes and a generic and robust Finite-Volume scheme for time-dependent fluid computations will be discussed.
In this lecture, we will introduce the Particle-In-Cell method, which consists into the coupling of a kinetic description of the plasma (macroparticles) with the projection on a grid of the fields, and develop the most basic method to implement it, e.g. the explicit description.
In this lecture, we will introduce (semi-)implicit Particle-In-Cell methods, where the equations for the temporal update of fields and particles are discretised semi-implicitly. We will discuss how the increased algorithmic burden pays off in terms of relaxed stability constraints.
In this lecture, we will introduce the framework of finite element exterior calculus which consists of a special type of finite elements that are adapted to the structure of Maxwell's equations and apply those to derive a structure-preserving particle-in-cell code of high accuracy order.
Collsionless astrophysical and space plasmas cover regions that typically display a separation of scales that exceeds any code's capabilities.The muphyII code utilizes a hierarchy of models with different inherent scales, unified in an adaptive framework that allows stand-alone use of models as well as a model-based dynamic and adaptive domain decomposition.This requires careful treatment of...
Cosmic rays are important messengers providing information about various remote astrophysical systems. Therefore, it is of high interest to understand the transport of these high energetic particles in the turbulent plasma environments they traverse. Contemporary models of cosmic ray transport processes will be discussed along with strategies to model the turbulence that is determining the latter.
We introduce a full-orbit test particle code that can propagate a large number of energetic particles in synthetic turbulence. Special emphasis is put on the turbulence geometry as either an isotropic or slab-2D composite model. Statistical analysis will be performed to determine the diffusion coefficients for different particle energies.
