|
Cococubed.com
|
| Piecewise Parabolic Method (PPM) |
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
Fermi-Dirac 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 two-body problem
Circular and elliptical 3 body
The pendulum
Phyllotaxis
MESA
MESA-Web
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
2023 ASU Solar Systems Astronomy
2023 ASU Energy in Everyday Life
AAS Journals
2023 AAS YouTube
2023 AAS Peer Review Workshops
2023 MESA VI
2023 MESA Marketplace
2023 MESA Classroom
2023 Neutrino Emission from Stars
2023 White Dwarfs & 12C(α,γ)16O
2022 Earendel, A Highly Magnified Star
2022 Black Hole Mass Spectrum
2022 MESA in Don't Look Up
2021 Bill Paxton, Tinsley Prize
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 open-source hydrodynamic tools for research and teaching. Also see Mike's Zingale's hydro1d github project. For open, modern, multi-physics, multi-scale, and multi-dimensional hydrodynamic instruments, check out CASTRO, MAESTO, PHANTOM, and DEDALUS.