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ASTROFÍSICA COMPUTACIONAL (AFC)

Crčdits Dept.
5.625 (4.5 ECTS) UV

Professors

Responsable:  (-)
Altres:(-)

Objectius Generals

In this course, students should gain a basic insight on those (magneto-) hydrodynamic processes governing the formation and evolution of astrophysical objects and cosmological inhomogeneities, paying particular attention to understand the corresponding equations and algorithms to solve them. The course will be rather theoretical and will be the basis for the subject "Applications of Computational Astrophysics".

Objectius Específics

Coneixements

  1. Equations governing the evolution of classical fluids and magneto-fluids.
  2. Equations governing the evolution of relativistic fluids and magneto-fluids.
  3. Equations governing the evolution of cosmological inhomogeneities.
  4. Summary of numerical algorithms for hyperbolic systems of conservation laws.

Habilitats

  1. Understanding that the numerical simulation in Astrophysics can be assimilated to a virtual laboratory that permits to validate theory and observations.
  2. Understanding the basic differences between fluid models valid in distinct astrophysical regimes, ranging from the Newtonian regime to the relativistic, ideal, magneto-hydrodynamics one.
  3. Understanding why the hyperbolic, parabolic or elliptic character of the equations governing the evolution of fluids in different physical regimes requests of properly suited numerical methods for their solution.

Competències

  1. Gain a general overview of different astrophysical and cosmological scenarios where the numerical modelling plays a fundamental role.

Continguts

Hores estimades de:

T P L Alt L Ext. Est A Ext.
Teoria Problemes Laboratori Altres activitats Laboratori extern Estudi Altres hores fora d'horari fixat

1. Introduction.
T      P      L      Alt    L Ext. Est    A Ext. Total 
1,0 0 0 0 0 0 0 1,0

2. Fluid dynamics in Astrophysics.
T      P      L      Alt    L Ext. Est    A Ext. Total 
12,0 0 0 0 0 6,0 0 18,0

3. Hyperbolic systems of conservation laws.
T      P      L      Alt    L Ext. Est    A Ext. Total 
6,0 0 6,0 4,0 0 8,0 2,0 26,0
  • Altres activitats:
    Presentation of the results of the computational laboratory.
  • Altres activitats fora d'horari fixat:
    Menthored work.

4. Finite difference methods in computational fluid dynamics.
T      P      L      Alt    L Ext. Est    A Ext. Total 
10,0 0 8,0 6,0 0 4,0 2,0 30,0
  • Altres activitats:
    Presentation of the results of the computational laboratory.
  • Altres activitats fora d'horari fixat:
    Menthored work.

5. Astrophysical applications.
T      P      L      Alt    L Ext. Est    A Ext. Total 
1,0 0 0 10,0 0 10,0 0 21,0
  • Altres activitats:
    4 tematic seminars about modern topics in computational astrophysics.


Total per tipus T      P      L      Alt    L Ext. Est    A Ext. Total 
30,0 0 14,0 20,0 0 28,0 4,0 96,0
Hores addicionals dedicades a l'avaluació 0
Total hores de treball per l'estudiant 96,0

Metodologia docent

Classes will build up concepts in a structured fashion. The basic theoretical background in the lectures will consolidated by means of practical exercises. The practical work will consist on computer practices where the student will use programs provided by the lecturer, public domain programs -appropriately documented- or programs that will be developed by the student. The contents of the course will be available on-line.

Mètode d'avaluació

The evaluation of the course will be based on the work developed by the students in the practical part (problems).

Bibliografía bàsica

  • Chorin, A.J., Marsden, J.E. A Mathematical Introduction to Fluid Mechanics, Springer (Chapter 3), 1990.
  • Landau, L. D. & Lifshitz, E. M. Fluid Mechanics, Pergamon, 2d ed., 1987.
  • LeVeque, R. J. Finite Volume Methods for Hyperbolic Problems, Cambridge U. P., 2002.
  • Shore, S.N. An Introduction to Astrophysical Hydrodynamics, Academic Press, 1992.
  • Toro, E. F. Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, Springer, 2d ed., 1999.

Bibliografía complementària

  • Martí, J.M., Müller, E. Numerical Hydrodynamics in Special Relativity, Living Reviews in Relativity: http://www.livingreviews.org/Articles/Volume2/1999-3marti/index.html, , 1999.
  • Font, J.A. Numerical Hydrodynamics in General Relativity, Living Reviews in Relativity: http://www.livingreviews.org/Articles/Volume3/2000-2font/index.html, , 2000.
  • Kulsrud, R. M. Plasma Physics for Astrophysics, Princeton U. P., 2004.

Enllaços web

  1. http://grape.c.u-tokyo.ac.jp/~hachisu/java.shtml
    Hachisu I. 1997, 1D Numerical Simulation by Java.


  2. http://www.astro.washington.edu/balick/WFPC2/index.html
    Dynamics of planetary nebulae: Introduction.


  3. http://www.strw.leidenuniv.nl/~icke/html/VincentPNO.html
    Dynamics of planetary nebulae: Simulations.


  4. http://jupiter.as.arizona.edu/~burrows/scidac/scidac.html
    Supernova Explosione: Introduction and simulations.


  5. http://www.phy.ornl.gov/tsi
    Supernova Explosione: Introduction and simulations.


  6. Obrir nova finestra http://www.livingreviews.org/Articles/Volume2/1999-3marti/index.html (Secciķn 7.
    Astrophysical jets: Introduction.


  7. http://www.cv.nrao.edu/~abridle/images.htm
    Images of extragalactic jets.


  8. http://www.astro.lsa.umich.edu/~phughes/icon_dir/relproj.html
    Simulations.


  9. http://www.livingreviews.org/Articles/Volume2/1999-3marti/index.html (Secc. 7.2)
    Gamma-Ray Bursts: Introduction.


  10. http://science.nasa.gov/newhome/headlines/ast02nov99_1.htm
    Introduction and simulations.


  11. http://www.mpa-garching.mpg.de/HIGHLIGHT/2000/highlight0003_e.htm
    Introduction and simulations.


  12. http://www.ifa.hawaii.edu/faculty/barnes/saas-fee/chapter-outline.html
    Galactic dynamics and galactic interaction: Introduction and simulations.


  13. http://www.MPA-Garching.MPG.DE/NumCos/
    Numerical Cosmology: Introduction and simulations.


Capacitats prèvies

Calculus (differential and integral). Fortran (basic level).


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