Computational Fluid Dynamics
FSU Jena
Topics
- Newtonian and Relativistic hydrodynamics
- Radiation hydrodynamics
- Hyperbolic PDEs
- Finite volume methods
- Riemann problem and solvers
- Conservative finite-differencing
- Limiters
- Galerking methods
Tutorials
- Exact and approximate Riemann solvers
- 1D Shocks tube for relativistic hydrodynamics
- 2D radiation transport
Literature
- A.M.Anile "Relativistic Fluids and Magneto-fluids" Cambridge University Press (1990)
- E.F.Toro "Riemann Solvers and Numerical Methods for Fluid Dynamics" Springer (1997)
- R.J. LeVeque "Finite Volume Methods for Hyperbolic Problems" Cambridge University Press (2002)
- J.S.Hesthaven, T.Warburton "Nodal Discontinuous Galerkin Methods" Springer (2008)
- J.P.Boyd Chebyshev and Fourier Spectral Methods
- B.Gustafsson, H.O.Kreiss and J.Oliger, Time-dependent problems and difference methods, John Wiley,New York 1995.
Reviews
Selected papers
Software
- AMR AMR is a package of Fortran routines for the numerical solution of hyperbolic conservation laws in 2 and 3 space dimensions
- Cactus and Einstein toolkit a community project for numerical relativity
- git and go a quick intro on
git
- GRChombo open-source code for numerical general relativity simulations based on Chombo
- GR1D 1+1 GR and neutrino transport code for supernova expolosion
- nuLib Basic standard set of neutrino matter interaction routines that can be readily incorporated in radiation-hydrodynamics codes
- PARAMESH A parallel adaptive mesh refinement community toolkit. See also this paper
- PETSc a suite of data structures and routines for the scalable (parallel) solution of scientific applications modeled by PDEs.
- xAct and contributed examples and these lectures
- yg.py a simple python3 program to plot & animates 1D data