Astrophysical Hydrodynamics

For the 2023 AW semester

Syllabus

Instructor: Yosuke Mizuno
Office: Tsung-Dao Lee Institute, N651
Email: mizuno@sjtu.edu.cn

Class hours: Friday, 12:55 – 15:40 (6-8 periods)
Place: Physics building No.5, Room: 502 (due to construction, room was changed)

1. Course Description:

Hydrodynamics is a successful framework to describe the dynamics of matter in the universe on all scales. This course will provide an introduction to the mathematical and physical properties of hydrodynamics and its extension to magnetized fluids, i.e. magnetohydrodynamics in astrophysics. Starting from an overview of fluids and plasmas in astrophysics, the equations of hydrodynamics will be derived and their most important properties will be discussed. The course will also discuss the nonlinear nature of the hydrodynamics equations and the occurrence of nonlinear waves such as shocks. Then we will deal with neutrally charged and magnetized plasmas and discuss the basic features of ideal magnetohydrodynamics and the associated nonlinear waves. In the part of the lecture, I will provide the astrophysical applications.

2. Text:

None required. Lecture notes will be posted on my website before the subject.

3. References:

  1. C.J. Clarke & R.F. Carswell, 2007 “Principles of Astrophysical Fluid Dynamics” (Cambridge University Press, Cambridge, UK)
  2. L. Rezzolla & O. Zanotti, 2013 “Relativistic Hydrodynamics” (Oxford University Press, Oxford UK)
  3. J. Goedbloed & S. Poedts, 2004 “Principles of Magnetohydrodynamics: With Applications to Laboratory and Astrophysical Plasmas” (Cambridge University Press, Cambridge, UK)
  4. E.R. Priest, 1982, “Solar Magnetohydrodynamics” (Springer, Netherlands)

4. Lecture Notes

Note: All lecture notes have been removed.

Ch 0: Introduction
Ch 1: Basic Concepts of Fluid
Ch 2: Formulations of the Hydrodynamic Equations
Ch 3: Kinetic Theory
Ch 4: Gravity & Hydrostatic Equilibrium
Ch 5: Waves
Ch 6: Shocks and Discontinuities
Ch 7: Bernoulli’s Equation and Transonic Flow
Ch 8: Fluid Instabilities
Ch 9: Viscous Flows
Ch 10: Basics of Plasma
Ch 11: Single Particle Motion
Ch 12: Magnetohydrodynamic Equations
Ch 13: MHD Waves
Ch 14: MHD Shocks and Discontinuities
Ch 15: MHD Instabilities