ASTROPHYSICAL HYDRODYNAMICS



Lecture Course
Astrophysical Hydrodynamics

February 2018 - April 2018
University Groningen





Docent:
    Rien van de Weygaert,
                      ZG 186,   tel. 3634086,   weygaert@astro.rug.nl

Werkcollege Docent:
     Georg Wilding
                      ZG 193,   tel. 3634073,   saikat@astro.rug.nl





Lectures:

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




Announcements:

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

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

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
         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 & 5:          Soundwaves & Shockwaves ;       pdf
                                                  Soundwaves & Shockwaves ;       pdf, 2 slides per page

         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

         Know by heart: Rankine-Hugoniot jump conditions.
         Know: Riemann invariants.
         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 4:                Soundwaves
                                                  A. Achterberg, Astrophysical Gas Dynamics, chapter 6

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

      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

         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

        Tutorial 7:   Mar. 30, 2018            Assignment set 7

        Tutorial 8:   Mar. 30, 2018            Assignment set 8