

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 Summer School ASU+EdX AST111x Teaching materials Education and Public Outreach 2016 NSF SI2 PI Workshop Contact: F.X.Timmes my one page vitae, full vitae, research statement, and teaching statement. 
Given • the thermodynamics of the fuel (the fuel's temperature, density and composition) • the ashes exist in their equilibrium state (NSE in the nuclear case) then the ChapmanJouget (1890) detonation solution follows from conservation of momentum, energy, mass, and charge across the flame front. This gives four nonlinear, algebraic conditions whose simultaneous solution is desired. That is, a four dimensional root find is done. The CJ solution tells you the • speed of the detonation • thermodynamics of the ashes The CJ solution doesn't tell you the • width of the fueltoash region • spatial variations of the variables • if the solution is a selfsustaining detonation The instrument in public_cjdet.tbz generates CJ detonation solutions and will also compute the strong and weak detonation solutions in the event that one chooses to drive the detonation at a userspecified Mach number. If you want what the ChapmanJouget solution doesn't tell you, a ZND detonation probably will.



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. 
