Numerical Relativity Excercises and Lectures
for PiTP 2009
see the group resources
page for some information on the required software
Lecture Notes (pdf format)
PiTP_NR_Lecture_1.pdf
PiTP_NR_Lecture_2.pdf
PiTP_NR_Lecture_3.pdf
Animations:
Small amplitude scalar field evolution
Large amplitude scalar field evolution
Critical amplitude scalar field evolution---code coordinates
Critical amplitude scalar field evolution---log coordinates
Critical amplitude reflection anti-symmetric data
PiTP_NR_Lecture_4.pdf
Animations:
Constraint damping example (single black hole)
Black hole merger, lapse function
Black hole merger, gravitational waves
Lapse function, harmonic gauge (soliton collision)
Lapse function, damped harmonic gauge (soliton collision)
Scalar field, compactified (code) coordinates
Scalar field, uncompactified coordinates
Apparent horizon from black hole merger
Projects
Project 1: Scalar Wave Evolution on a Schwarzschild Background
The following project is one of the problems given at the
Graduate Summer School on General Relativistic Hydrodynamics, in Vancouver, 2003.
Project Handout
Using the following as a template for this project:
How to solve a 1D flat space
wave equation with RNPL. Code: w1dcnm.tar.gz
RNPL source, Makefile and sample ID file demonstrating how to add
Kreiss Oliger dissipation to the Klein-Gordon equation in spherically
symmetric Minkowksi spacetime:
kg_rnpl,
Makefile,
id0
Project 2:
Gravitational collapse in the Einstein-Klein-Gordon system
Project
Handout
If you want to begin from scratch,
use your code from Project 1 as a skeleton to begin Project 2.
Source and Makefile for model elliptic problem:
model_elliptic.f,
Makefile
Alternatively, here is source code for a program including the elements up to Problem 5 in the handout:
emkg_5.tar.gz
This compressed tar-ball contains the source, plus a couple of example
run time parameter files in two directories "strong_field_id" (forms a black hole) and
"weak_field_id" (does not). See the ".laliases" file in each directory for an
alias command that demonstrates how to use these parameter files.
Some of the material presented here is based upon work supported in part by
the National Science Foundation under Grant No. 0745779
last updated: July 27, 2009