*Conducted in term:*2023/24Z

*ISCED code:*0530

*ECTS credits:*4

*Language:*English

*Organized by:*Faculty of Physics, Astronomy and Informatics

# 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

## Learning outcomes - knowledge

## Learning outcomes - skills

## Learning outcomes - social competencies

## Teaching methods

## Observation/demonstration teaching methods

## Expository teaching methods

## Exploratory teaching methods

## Online teaching methods

## Prerequisites

## Course coordinators

## 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: