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.