Minicourse on Numerical Relativity
Start time: March 28, 2016
Ends on: April 1, 2016
- Luis Lehner (Perimeter Institute -Waterloo, Canada)
- Vasileios Paschalidis (Princeton University, USA)
- Frans Pretorius (Princeton University, USA)
Title: A first course on Numerical Relativity
Location: São Paulo, Brazil
This course will cover the fundamentals of solving Einstein equations numerically in strongly gravitating/dynamical regimes. Emphasis will be on fundamentals to lay a solid foundation for venturing into Numerical Relativity. Topics to be covered include: Numerical Analysis for Partial Differential Equations, Formulations of Einstein equations, Hydrodynamics and basics of applications for Astrophysics, fundamental questions on General Relativity and Holography. While no formal training on coding will be assumed, it would be helpful if participants have a basic knoweldge of Maple, Mathematica, Matlab, Fortran, C or Python to carry out related exercises. Financial support will be available for graduate students and researchers from South America that would like to attend the minicourse.
List of Confirmed Participants: Updated on March 23
School Program: PDF updated on March 29
Click on the title of the lectures to watch the videos and on (PDF) to download the lecture files.
|Start||End||Monday, March 28||Tuesday, March 29||Wednesday, March 30||Thursday, March 31||Friday, April 1|
|Decomposition of Einstein, ADM
|Ideal MHD (PDF)
|Adaptive mesh refinement
|11:00||11:30||COFFEE BREAK||COFFEE BREAK||COFFEE BREAK||COFFEE BREAK||COFFEE BREAK|
|11:30||13:00||Basics; Ex: Minkwoski wave eqn.
|BSSN/GH formulations and contraint damping
|Num. methods for hydro, HRSC (PDF)
|Force-free equations & methods
|Characteristic formulations and applications
|14:30||19:00||Pre-discussion: tools, visualization, and related.
Lab: 1D wave eqn, Maxwell (optional)
|Turbulence and fluid/gravity correspondence in AdS/CFT
Lab: Wave eqn on a BH background, spherical symmetry. Dynamical background (optional)
|IFT-Colloquium: The Dynamical Strong-field Regime of General Relativity (PDF)
F. Pretorius (at 2 pm)
Lab: Burgers eqn (FD, HRSC)
Discussion: The Dynamical Strong-field Regime of General Relativity
|Lab: Relativistic hydro, FF (optional)
Discussion: gauges + others
|Lab: wrap up of projects
Discussion: Round table of future problems & opportunities
Notes on constraint damping for Maxwell´s equations; L. Lehner, V. Paschalidis, F. Pretorius
Spherically symmetric back-reacting code: http://physics.princeton.edu/~fpretori/group_resources/index.html
It is highly recommended that potencial participants read the references below before the starting of the minicourse:
1. Relativistic Astrophysics and Numerical Relativity Numerical Analysis for Numerical Relativists; Matthew W. Choptuik
2. Spacetime and Geometry: An Introduction to General Relativity; Sean M. Carrol
3. General Relativity; Robert M. Wald (Chapters 1-6)
Registration: ALL participants should register. The registration will be on March 28 at the institute, from 8:30 to 9:30. You can find arrival instruction at http://www.ictp-saifr.org/?page_id=195
Accommodation: Participants whose accommodation has been provided by the institute will stay at The Universe Flat. Each participant, whose accommodation has been provided by the institute, has received the accommodation details individually by email.
Emergency number: 9 8233 8671 (from São Paulo city); +55 11 9 8233 8671 (from abroad), 11 9 8233 8671 (from outside São Paulo).
Ground transportation instructions: