

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 Adiabatic white dwarfs Cold neutron stars Stellar opacities Neutrino energy loss rates Ephemeris routines FermiDirac functions Polyhedra volume Plane  cube intersection Coating an ellipsoid 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 Hydrodynamic test cases Galactic chemical evolution Universal twobody problem Circular and elliptical 3 body The pendulum Phyllotaxis MESA MESAWeb FLASH Zingale's software Brown's dStar GR1D code Iliadis' STARLIB database Herwig's NuGRID Meyer's NetNuc Presentations Illustrations cococubed YouTube Bicycle adventures Public Outreach Education materials AAS Journals AAS Youtube 2022 MESA Marketplace 2022 MESA Summer School 2022 MESA Classroom 2022 MESA in Don't Look Up 2022 ASU Solar Systems Astronomy 2022 ASU Energy in Everyday Life Contact: F.X.Timmes my one page vitae, full vitae, research statement, and teaching statement. 
The tool ppm.tbz is a simplified 1D PPM hydrodynamics solver on Cartesian grids. This tool is originally from Bruce Fryxell. While the Sod problem has become a standard hydrodynamic test case, it isn't a very discriminating test for modern software instruments. The strong shock tube problem below is more demanding because of the stronger discontinuities across the shock interface and the narrow density peak that forms behind the shock. The γ=1.4 test case sets the initial density to $\rho =10$ for $x < 2$, $\rho = 1$ for $x > 2$, and the initial pressure to $P =100$ for $x < 2$, $P = 1$ for $x > 2$. Below, the PPM solution and the exact solution to the exact Riemann solution at 0.4 s are compared. For a reasonably modern hydrodynamics software instrument with more capabilities (e.g., a more general equation of state or nuclear reaction networks, check out FLASH. Mike Zingale's codes page offers several lovely opensource hydrodynamic tools for research and teaching. Also see Mike's Zingale's hydro1d github project. For open, modern, multiphysics, multiscale, and multidimensional hydrodynamic instruments, check out CASTRO, MAESTO, PHANTOM, and DEDALUS. 


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. 
