Session

DescriptionThe HPC challenges and numerical methods in different domains of plasma physics and in particular in magnetic fusion and astrophysics have many common features, such as 3D complex geometry, a wide range of spatial and time scales to be covered especially when MHD instabilities are involved. In the first presentation challenges in MHD modelling in fusion devices and in particular in ITER will be presented using the example of the non-linear MHD code JOREK in complex realistic geometry. Fluid-kinetic formulation, numerical and parallelisation methods of the fully implicit time evolution scheme will be discussed. Some illustrative examples of MHD instabilities and their control in ITER will be presented. In the second presentation the adaptive mesh refinement (AMR) methods for hyperbolic and elliptic PDEs in MHD simulations and the design of an MPI-parallel geometric multigrid library will be discussed. In the third presentation the efficient application of the multidimensional Riemann solver on the structured meshes for the relativistic MHD astrophysical applications will be presented.