Astrohydrodynamics (Astrophysical Fluid Dynamics) 0800-PA-ASTROHYD

The lecture will include the following topics:
Part I. Astrophysical applications of fluid dynamics.
- Euler’s equations of fluid dynamics,
- selfgravitating fluids - Poisson’s equation
- sound waves, shock waves, supernova explosions,
- fluid instabilities: convective, Raileigh-Taylor, Kelvin-Helmholtz, gravitational and thermal instabilities,
- Bernouli’s equation, spherical accretion and winds,
- viscous flows, Navier-Stokes equation, Reynolds number,
- vorticity equation, Kelvin’s theorem of vorticity conservation,
- turbulence and its astrophysical significance,
- hydrodynamics of accretion disks,
- hydrodynamical processes in star formation activity.
Part II. Numerical methods for fluid dynamics.
- elements of the theory of partial differential equations, method of characteristics, Riemann problem, Rankine-Hugoniot relations, linear hyperbolic systems
- conservative form of hydrodynamics equations, shock waves, rarefaction waves and the solution of Riemann problem in fluid dynamics.
- basic numerical methods for partial differential equations, von Neuman stability analysis of numerical schemes,
- Riemann solvers and Godunov methods for fluid dynamics.

Total student workload

Contact hours with teacher: - participation in lectures - 30 hrs - participation in tutorials - 15 hrs Self-study hours: - preparation for lectures - 30 hrs - preparation for tutorials – 15 hrs - preparation for examination- 30 hrs Altogether: 120 hrs (4 ECTS)

Learning outcomes - knowledge

Student W1: knows bases of fluid dynamics and understands its role inastrophysics. (K_W04, K_W06) W2: is able to use analytical calculation methods for theoretical investigations of fluid dynamical phenomena in astrophysics. (K_W01) W3: knows theoretical bases of numerical algorithms for fluid dynamics equations. (K_W02, K_W03)

Learning outcomes - skills

Student U1: is able to use analytical calculation methods for theoretical investigations of fluid-dynamical phenomena in astrophysics. (K_U03) U2: Can use and modify available software for numerical modeling fluid-dynamical phenomena in astrophysics. (K_U04)

Learning outcomes - social competencies

Student K1: understands the importance and limitation of mathematical and numerical modeling in fluid dynamis. (K_K01)

Teaching methods

Lectures: Expository teaching methods - informative lecture. Tutorials: Exploratory teaching methods - computer laboratory for training numerical methods in fluid dynamics.

Observation/demonstration teaching methods

- simulation (simulation games)

Expository teaching methods

- participatory lecture

Exploratory teaching methods

- laboratory

Online teaching methods

- games and simulations

Prerequisites

1. knowledge of linear algebra and calculus. 2. basic knowledge of mechanics and thermodynamics.

Course coordinators

Michał Hanasz

Assessment criteria

Assessment methods:
- lecture: written examination (W1, W2, W3, U1, K1).
- tutorials: activity at the computer laboratory tutorials (U2) and evaluation of written reports on the programming work and numerical experiments performed at the computer laboratory.
Assessment criteria:
fail: < 50%
satisfactory: 50-59%
satisfactory plus: 60-69%
good: 70-79%
good plus: 80-89%
very good: 90-100%

Practical placement

„not applicable”

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 0800-PA-ASTROHYD in USOSweb