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Numerical relativity hydrodynamics Unikurs

Repository for uni course at university Potsdam

Kurs: Numerical Relativity II: Hydrodynamics | Moodle.UP

https://moodle2.uni-potsdam.de/course/view.php?id=38402

Exercises

Problem Set I solve wave equation

Basic Information and Literature

Possible literature:

M.Alcubierre “Introduction to 3+1 Numerical Relativity”, Oxford Science Publications (2008)
T.W.Baumgarte & S.L. Shapiro “Numerical Relativity”, Cambridge University Press (2010)
E. Gourgoulhon 3+1 Formalism in General Relativity, Springer (2012)
L.Rezzolla & O.Zanotti “Relativistic Hydrodynamics” Oxford University Press (2013)
M.Shibata “Numerical Relativity” World Scientific Publishing (2016)

Review articles:

T.W.Baumgarte & S.L.Shapiro Numerical Relativity and Compact Binaries 
E.Gourgoulhon Construction of initial data for 3+1 numerical relativity 
E.Gourgoulhon An introduction to relativistic hydrodynamics
E.Gourgoulhon An introduction to the theory of rotating relativistic stars
E.Arnowitt, S.Deser, C.W.Misner The Dynamics of General Relativity
D.Hilditch, An Introduction to Well-posedness and Free-evolution
L. Baiotti, L. Rezzolla, Binary neutron-star mergers: a review of Einstein's richest laboratory
M. Baiotti, Gravitational waves from neutron star mergers and their relation to the nuclear equation of state

Schedule

The course will be divided in 3 bigger parts, Part I: Numerical Methods, Part II: General-Relativistic Hydrodynamics, Part III: Advanced Topics: Simulating Neutrino Radiation and Magnetic Fields

BLOCK I -- Numerical Methods

19.10. LECTURE -- Numerical Methods I: Method of Lines, Parallelization, Courant-Friedrichs-Lewy Condition, Adaptive Mesh Refinement
26.10. LECTURE -- Numerical Methods II: Riemann-Problem, Riemann Solvers, Limiter
2.11. SEMINAR   -- Work on Problem Set I: Parallelized Evolution of the Wave Equation
9.11. SEMINAR.  -- Work on Problem Set I
16.11 SEMINAR  -- Work on Problem Set I

BLOCK II -- General-Relativistic Hydrodynamics

23.11 LECTURE -- Overview: Numerical Relativity without matter
30.11 LECTURE -- Relativistic Hydrodynamics
7.12   LECTURE --  General Relativistic Hydrodynamics
14.12 LECTURE -- Constructing Initial data
21.12 SEMINAR -- Work on Problem Set II: Relativistic Shocktube
11.01 SEMINAR -- Work on Problem Set II

BLOCK III -- Advanced Topics: Simulating Neutrino Radiation and Magnetic Fields

18.01. LECTURE -- General-Relativistic Radiation Hydrodynamics
25.01. LECTURE -- General-Relativistic Magnetohydrodynamics
01.02. SEMINAR -- Work on Problem Set II: Relativistic Shocktube
08.02. SEMINAR -- Work on Problem Set II

Creative Commons Lizenzvertrag
Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung - Weitergabe unter gleichen Bedingungen 4.0 International Lizenz.