Numerical methods for the integration of radiative MHD equations

 

S. Massaglia – A. Mignone (20 hrs)

 

 

Part 1)

 

Fundamentals of the numeric integration of hyperbolic equations – Finite volumes methods – Discontinuous solutions and Riemann problem –  1st and 2nd order integration methods – Monotonic interpolations – Boundary conditions – Time advancing schemes – Euler equations – Riemann problem for the Euler equations – Multidimensional extension: split and unsplit methods – MHD problems – Source terms – Implicit methods – Examples

 

 

Part 2)

 

Stellar jets: basic facts – Stationary and time-dependent radiative shocks – Two level atom and extension to the multilevel theory – Collisionally excited emission lines – Diagnostics of temperature and density – Comparison with observations – Numerical methods for the solution of linear systems.

 

 

In the course the basic methods for the numerical solutions of HD and MHD equations are discussed, with particular attention to the treatment of shocks and line emission.

 

Prerequisites: knowledge of basic mathematical methods (matrix algebra, eigenvectors and eigenvalues, characteristics, etc.), fundamental concepts of electrodynamics and fluid mechanics.

 

Copy of the lecture slides are available at the WEB page.