

Home Astronomy research Software instruments Stellar equation of states EOS with ionization EOS for supernovae Chemical potentials Stellar atmospheres Voigt Function Jeans escape Polytropic stars Cold white dwarfs Hotter white dwarfs Cold neutron stars Stellar opacities Neutrino energy loss rates Ephemeris routines FermiDirac functions Galactic chemical evolution Nuclear reaction networks Nuclear statistical equilibrium Laminar deflagrations CJ detonations ZND detonations Fitting to conic sections Unusual linear algebra Derivatives on uneven grids Pentadiagonal solver Quadratics, Cubics, Quartics Supernova light curves Exact Riemann solutions 1D PPM Hydrodynamics Verification problems Plane  Cube Intersection MESA MESAWeb FLASH Zingale's software Brown's dStar GR1D code Iliadis' STARLIB database Herwig's NuGRID Meyer's NetNuc Presentations Illustrations Videos Bicycle adventures AAS Journals 2017 MESA Marketplace 2017 MESA Summer School 2017 ASU+EdX AST111x Teaching materials Education and Public Outreach Contact: F.X.Timmes my one page vitae, full vitae, research statement, and teaching statement. 
The tool in the bzip2 tar file ppm1d.tbz, originally written by Bruce Fryxell, is a 1D PPM hydrodynamics solver on Cartesian grids. It has the advantage of being small and selfcontained in a single file. If you want a tool with more capability (e.g, 1D spherical grids or explicit equation of state calls) then check out Mike Zingale's hydro1d github project  its very nice. While the Sod problem has become a standard test case for hydrodynamics instruments it isn't a very discriminating test for modern software instruments. The strong shock tube problem below is a more demanding test problem, because of the stronger discontinuities across the shock interface and the narrow density peak that forms behind the shock. The tool sets the initial density to 10 on the left, and 1 on the right. The initial pressure is set to 100 on the left, and 1 on the right. The PPM solution and the exact solution to the exact Riemann solution at 0.4 s is compared below.
If you want a simple exact Riemann solver, check out this page. If you want a modern multiphysics, multiscale, multidimensional hydrodynamics instrument, check out FLASH, CASTRO, or MAESTO. 


Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. Offer coauthorship as appropriate. 
