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Entry in the University course catalogue
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Astrophysical Gasdynamics
AS7002 (7.5 credits)
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Course organiser: Garrelt Mellema
Assistant:
Simulation of a gas cloud encountering a shock
Welcome
Welcome to the course in the dynamics of astrophysical gases to be
given autumn 2007!
This course is part of the new
Master's
programme in Astronomy at Stockholm University.
It can also be taken at the graduate level for PhD students.
The course will be given in English.
Entrance requirements
University education with 60 ECTS credits in mathematics and 90 ECTS credits in physics, or the equivalent.
Behörighetskrav: Grundläggande högskoleutbildning/ kandidatexamen
med ämnesdjup i fysik: matematik om 60 hp och i fysik om 90 hp eller
motsvarande kunskaper.
Course description
This course covers the dynamics of astrophysical gases.
The course consists of:
- Twelve "normal" lectures (L1 to L12),
- Four exercise sessions (RÖ1 to RÖ4),
- Computer exercise
The official documents associated with this course
Course literature
The course book is:
Cathy J. Clarke and Bob Carswell,
Principles of Astrophysical Fluid Dynamics
(hardcover ISBN: 978-0521853316, paperback ISBN: 978-0521618564)
Additional handouts and copies will be provided for parts not covered in the book
Other books which cover the subject and which may be useful:
- Arnab Rai Choudhuri, The Physics of Fluids and Plasmas: An Introduction for Astrophysicists
- Frank H. Shu, The Physics of Astrophysics II: Gas Dynamics
- L.D. Landau & E.M. Lifshitz, Course of Theoretical Physics 6: Fluid Mechanics
- Michael J. Thompson, An Introduction to Astrophysical Fluid Dynamics
- Milton Van Dyke, An Album of Fluid Motion (picture book)
Books on numerical hydrodynamics:
- Randall J. LeVeque, Finite Volume Methods for Hyperbolic Problems
(website)
- Culbert B. Laney, Computational Gasdynamics
Some links:
Timetable
(TIMETABLE) (ht2007)
Week |
Date |
Time |
Comment |
45 |
Tue Nov 6 |
10-12 |
L1 |
45 |
Thu Nov 8 |
10-12 |
L2 |
46 |
Tue Nov 13 |
10-12 |
L3 |
46 |
Thu Nov 15 |
10-12 |
L4 |
47 |
Thu Nov 22 |
10-12 |
L5 |
48 |
Tue Nov 27 |
10-12 |
L6 |
48 |
Tue Nov 27 |
13-15 |
RÖ1 |
48 |
Wed Nov 28 |
13-15 |
L7 |
48 |
Thu Nov 29 |
10-12 |
RÖ2 |
49 |
Tue Dec 4 |
10-12 |
L8 |
49 |
Thu Dec 6 |
10-12 |
L9 |
49 |
Thu Dec 6 |
13-15 |
RÖ3 |
50 |
Mon Dec 10 |
13-15 |
L10 |
50 |
Wed Dec 12 |
10-12 |
L11 |
50 |
Wed Dec 12 |
13-15 |
L12 |
50 |
Thu Dec 13 |
10-12 |
RÖ4 |
3 |
Mon Jan 14 |
9-14 |
Tentamen |
14 |
Mon Mar 31 |
12-17 |
Omtentamen |
All lectures and exercise classes will be given in the lecture room at the Astronomy department.
Course content
List of the material for the exam
- Part 1: Introduction
- Introduction
- Eulerian versus Lagrangian form
- Mathematical concepts
- Stream lines
- Part 2: Crowd Control
- Distribution functions
- Boltzmann equation
- Moments of the Boltzmann equation
- Euler equations
- Part 3: Equations is power?
- Eulerian versus Lagrangian form
- Advection
- Gravity
- Energy and relation to thermodynamics
- Part 4: Spherical Cows
- Non-cartesian coordinates
- Exponential atmosphere
- Self-gravitating spheres
- Part 5: The Perfect Wave
- Acoustic waves
- Sound speed
- Shock waves
- Rankine-Hugoniot conditions
- Other discontinuities/waves
- Spherical blast waves / Supernova Explosions
- Part 6: Behind the shower curtain
- Bernoulli equation
- Vorticity, potential flow
- De Laval nozzle
- Spherical accretion and stellar winds
- Part 7: The Honey Trap
- Transport phenomena
- Navier-Stokes equations
- Viscosity
- Reynolds number
- Poiseuille Flow
- Accretion Disks
- Part 8: The Big Mess
- Instabilities
- Linear perturbations
- Convective instability
- Rayleigh-Taylor instability
- Kelvin-Helmholtz instability
- Jeans instability
- Turbulence
- Part 9: Is it Good'enuf?
- Numerical hydrodynamics
- CFL condition & Upwind condition
- von Neumann Stability Analysis
- Conservation, finite-volume, finite-difference
- Lax-Wendroff-Richtmeyer Method
- Flux Vector Splitting Methods
- Godunov methods
- Operator Splitting
- Smooth Particle Hydrodynamics
Look under Literature to see the material that was here before.