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COMPUTATIONAL ASTROPHYSICS (AFC)

Credits Dept.
5.625 (4.5 ECTS) UV

Instructors

Person in charge:  (-)
Others:(-)

General goals

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".

Specific goals

Knowledges

  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.

Abilities

  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.

Competences

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

Contents

Estimated time (hours):

T P L Alt Ext. L Stu A. time
Theory Problems Laboratory Other activities External Laboratory Study Additional time

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

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

3. Hyperbolic systems of conservation laws.
T      P      L      Alt    Ext. L Stu    A. time Total 
6,0 0 6,0 4,0 0 8,0 2,0 26,0
  • Other activities:
    Presentation of the results of the computational laboratory.
  • Other extra activities:
    Menthored work.

4. Finite difference methods in computational fluid dynamics.
T      P      L      Alt    Ext. L Stu    A. time Total 
10,0 0 8,0 6,0 0 4,0 2,0 30,0
  • Other activities:
    Presentation of the results of the computational laboratory.
  • Other extra activities:
    Menthored work.

5. Astrophysical applications.
T      P      L      Alt    Ext. L Stu    A. time Total 
1,0 0 0 10,0 0 10,0 0 21,0
  • Other activities:
    4 tematic seminars about modern topics in computational astrophysics.


Total per kind T      P      L      Alt    Ext. L Stu    A. time Total 
30,0 0 14,0 20,0 0 28,0 4,0 96,0
Avaluation additional hours 0
Total work hours for student 96,0

Docent Methodolgy

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.

Evaluation Methodgy

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

Basic Bibliography

  • 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.

Complementary Bibliography

  • 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.

Web links

  1. http://grape.c.u-tokyo.ac.jp/~hachisu/java.shtml


  2. http://www.astro.washington.edu/balick/WFPC2/index.html


  3. http://www.strw.leidenuniv.nl/~icke/html/VincentPNO.html


  4. http://jupiter.as.arizona.edu/~burrows/scidac/scidac.html


  5. http://www.phy.ornl.gov/tsi


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


  7. http://www.cv.nrao.edu/~abridle/images.htm


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


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


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


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


  12. http://www.ifa.hawaii.edu/faculty/barnes/saas-fee/chapter-outline.html


  13. http://www.MPA-Garching.MPG.DE/NumCos/


Previous capacities

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


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