2006 Spring School on Numerical Methods in
Gravitation and Astrophysics
Download the lecture notes:
Lecture
notes in Postscript
Lecture
notes in PDF
Lecture
notes in compressed Postscript
A nice introduction to numerical methods for relativistic hydrodynamics can
be found in the introductory sections of these thesis
Computational
Ultrarelativistic Hydrodynamics by Ian Hawke (compressed Postscript). It
includes the spectral decomposition for the Roe solver in special relativity.
Extremely
Relativistic Fluids in Strong-Field Gravity by David W Neilsen (compressed
Postscript)
A
Numerical Study of Relativistic Fluid Collapse by Scott C Noble (compressed
Postscript)
Each provides a bit different perspective on the topics
covered in the lecture notes and contains much more details and additional
information.
The relativity.livingreviews.org is
a good source of information on topics in relativity. These articles are
particularly relevant to numerical relativistic hydrodynamics:
Numerical
Hydrodynamics in Special Relativity It includes the spectral decomposition
for the Roe solver in general relativity.
Numerical
Hydrodynamics in General Relativity
An efficient method for finding the exact solutions of the relativistic
Riemann problem is described in:
An Improved Exact Riemann Solver
for Relativistic Hydrodynamics
An Improved Exact Riemann Solver for
Multidimensional Relativistic Flows
Recent papers on numerical
relativistic hydrodynamics