Lecture Course
Astrophysical Hydrodynamics

February 2018 - April 2018
University Groningen

    Rien van de Weygaert,
                      ZG 186,   tel. 3634086,

Werkcollege Docent:
     Georg Wilding
                      ZG 193,   tel. 3634091,


The lecture schedule is:

      Tuesday         15:00-17:00       hoorcollege/lecture                            room ZG161

      Thursday       11:00-13:00       lecture                                                 room ZG161

      Friday            11:00-13:00       werkcollege/tutorial                           room ZG161


First lecture on tuesday February 6, 15:00-17:00

Second lecture on thursday February 8, 11:00-13:00

First tutorial lecture on friday February 9, 11:00-13:00

Thursday February 15, 11:00-13:00: lecture cancelled (due to absence lecturer)

Friday February 16, 11:00-13:00: regular lecture, ZG161

Tuesday Mar. 13, 15:00-17:00: change of lecture hall: Kapteynborg 5419.0230

Friday Mar. 16, 11:00-13:00: change of lecture hall: Kapteynborg 5419.0111

Friday Mar. 23, 11:00-13:00: change of lecture hall: Kapteynborg 5419.0111

Tutorial lectures will be on friday, 11:00-13:00

Monday Mar. 26, 15:00-17:00     room: 5419.0222 (Kapteynborg)     shifted lecture

Tuesday Mar. 27, 15:00-17:00     room: 5419.0161      regular lecture

Thursday Mar. 29, 13:00-15:00     room: 5419.0161      no lecture (shifted to monday Mar. 26)

Tuesday Apr. 2, 15:00-17:00     room: 5419.0161      extra lecture

Thursday Apr. 4, 14:00-15:30     room: 5419.0161      question hour + tutorial assignment questions

Exam, Friday April 6:
    exam time: 14:00-17:00, Bernoulliborg, 5161.0165

Lecture Notes:

      Lecture Generals:              Practical Issues

      Lecture Topic 0:                Fluid Picture Book

      Lecture Topic 1:                Basic Fluid Equations ;       pdf
                                                    Basic Fluid Equations ;       pdf, 2 slides per page

         Key chapter !!!!!!
         Know by heart: definition fluid, basic Boltzmann equation, continuity equation, Euler equation,
         Bernoulli function & equation, Kelvin circulation theorem
         Know: how to derive fluid equations from Boltzmann equation, derivation Continuity Equation (microscopic, via BE, and macroscopic),
         derivation Euler equation (microscopic, via BE, and macroscopic), follow derivation Energy equation and explain related quantities,

         know by heart: definition (in)compressible fluid, steady flow
         know by heart: Stokes flow theorem; definitions divergence/compression, shear, vorticity
         know: derivation Stokes flow theorem (gradient velocity vector field), physical meaning divergence, shear, vorticity
         explain concept streamlines/pathlines/streaklines

      Lecture Topic 2 & 3:          Bernoulli Applications; Hydrostatics ;       pdf
                                                    Bernoulli Applications; Hydrostatics ;       pdf, 2 slides per page

         Key chapter !!!!!!
         Know: Venturi meter (ie. derive related expressions), explain airflight, de Laval Nozzle (in detail)
         Know: Hydrostatics: Archimedes principle, derivation isothermal sphere,
         Know: Hydrostatics, Xray emission galaxy clusters and equation for cluster mass

      Lecture Topic 4:                Soundwaves ;       pdf
                                                    Soundwaves ;       pdf, 2 slides per page

         Lecture Topic 4:                Soundwaves
                                                   A. Achterberg, Astrophysical Gas Dynamics, chapter 6

         Key chapter !!!!!!
         Know by heart: wave equation, harmonic solution wave equation, dispersion relation simple linear sound wave, definition phase and group velocity.
         Know: gravity waves (ie. linear surface waves)
         Know: derivation sound wave equation by simple combination continuity & Euler for small perturbations
         Know: derivation detailed sound wave equation for displacement, velocity perturbation, pressure and density perturbation (Lagrangian and Eulerian),
         Know: phase difference velocity and pressure perturbations, etc.
          (ie. understanding the connection between pressure wave and displacement fluid elements).
         Know: derivation Jeans instability, dispersion relation and Jeans scale/length/mass

      Lecture Topic 5:                Shockwaves ;       pdf
                                                    Shockwaves ;       pdf, 2 slides per page

         Lecture Topic 5:                Shockwaves
                                                    A. Achterberg, Astrophysical Gas Dynamics, chapter 7

         Know: Characteristics and Riemann invariants.
         Know by heart: Rankine-Hugoniot jump conditions.
         Know: derivation (1-D) Rankine-Hugoniot conditions, Rankine-Hugoniot shock adiabat, (Hugoniot and Rayleigh lines in) adiabatic diagram,
         Know: strong shocks (density jump), weak shock, derivation relation pre-shock velocity & post-shock pressure,
         Know: explain and describe supernova remnant evolution; derivation Sedov-Taylor solution

      Lecture Topic 6:                Diffusion & Viscosity ;       pdf
                                                    Diffusion & Viscosity ;       pdf, 2 slides per page

         Lecture Topic 6:                Diffusion & Viscosity
                                                    A. Achterberg, Astrophysical Gas Dynamics, chapter 9

         Key chapter !!!!!!
         Know by heart: diffusion equation, definition diffusion parameter, definition viscosity, Navier-Stokes equation, definition Reynolds number.

         Know/follow: derivation diffusion equation, radiation diffusion/definition opacity, reasoning towards Navier-Stokes equation
         Know: derivation Poiseuille equation, 3-D flow through canal

      Lecture Topic 7:                 Turbulence
                                                    Turbulence ;       pdf, 2 slides per page

         Key chapter !!!!!!
         Understand general properties of turbulence: know at least 7 key properties.
         Description onset of turbulence; relation Reynolds number and turbulence
         Know by heart: Kolmogorov spectrum

Tutorial Assignments/Werkcollege:

The tutorial assignments are:

        Tutorial 1:   Feb. 9, 2018             Assignment set 1

        Tutorial 2:   Feb. 23, 2018             Assignment set 2

        Tutorial 3:   Mar. 2, 2018             Assignment set 3

        Tutorial 4:   Mar. 9, 2018              Assignment set 4

        Tutorial 5:   Mar. 16, 2018              Assignment set 5

        Tutorial 6:   Mar. 23, 2018            Assignment set 6