**INTRODUCTION TO NUMERICAL HYDRODYNAMICS AND RADIATIVE TRANSFER**

**PhD/Master course, 10 hsp**

Start: Monday, October 22nd, 2012 at 14:15

Teachers: Nikolai Piskunov & Susanne Höfner, Dept. of Physics and Astronomy

email: Nikolai.Piskunov-at-fysast.uu.se, Susanne.Hoefner-at-fysast.uu.se

Goals: The course is about understanding how to model
complex dynamic media where a significant fraction of energy is transported by
radiation. We will typical astrophysical environment as example (stars,
circumstellar medium etc.). Students will learning numerical methods and
approximations, understand the advantages and limitations of different techniques
and obtain experience in using advanced computer codes and state-of-the-art computers.

Structure: The course consists of 2 parts: radiative transfer and hydrodynamics. Each part will
include lectures and a small number of not-too-simple exercises.

Grading: In order to complete the course students
would have to attend most of the lectures, do the home work and successfully
complete the exercises. This will result in 10 points.

Schedule: We hope to finish all the lectures before
mid January. The initial part that includes background material, refreshing of
the relevant math and numerical methods and it will be very intense: 2 lectures
per week on Mondays and Thursdays in Oseenska rummet (Å73121)
.

**RADIATIVE TRANSFER** *(Lecture
notes and exercises)*

Lecture
1 (Monday, October 22nd, 14:15) Total Recall. Radiation and Math, Part 1* (home work #1)*

Lecture
2 (Thursday, October 25th, 10:15) Total Recall. Math, Part 2* (home work #2)*

Lecture
5 (Monday, November 5th, 14:15) Formal solvers of the RT equation
*(home work #4
can be found here)*

Lecture
6 (Thursday, November 8th, 10:15) Self-consistency of the RT solutions

Lecture
7 (Monday, November 12th, 14:15) Time-dependent Radiative
Transfer in multi-dimensions

** **

**NUMERICAL
HYDRODYNAMICS (Lecture Notes and Exercises)**

**NUMERICAL HYDRODYNAMICS (Lecture Notes and Exercises from 2007)**