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CCTK Hydro

CCTK Hydro. Malcolm Tobias Washington University mtobias@void.wustl.edu. CCTK Hydro: A Status Report. Contributors: Miguel Alcubierre Gabrielle Allen Bernd Bruegmann Teepanis Chachiyo Thomas Dramlitsch Ed Evans Toni Font Tom Goodale Philip Gressman Paul Lamping Joan Masso

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CCTK Hydro

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  1. CCTK Hydro Malcolm Tobias Washington University mtobias@void.wustl.edu

  2. CCTK Hydro: A Status Report Contributors: Miguel Alcubierre Gabrielle Allen Bernd Bruegmann Teepanis Chachiyo Thomas Dramlitsch Ed Evans Toni Font Tom Goodale Philip Gressman Paul Lamping Joan Masso Mark Miller Philippos Papadopoulos Ed Seidel Nikolaos Stergioulas Wai-Mo Suen Malcolm Tobias Rob Young

  3. Overview • Cactus 3 • Computational Modules (thorns) • Initial data • MAHC hydro • Newtonian hydro • Boson stars • EOS tables • Analysis tools • Tests • Physics • Cactus 4 conversion

  4. Initial data • Single NS (TOV) • Rotating NS • Head-on colliding NS • Quasi-equil. Data (Meudon Data) • PN initial data • Test Data (FRW, shockwave) • IVP solver • Coupled Ham. & mom. Constraints!!! • No assumptions of conformal flatness!!!

  5. MAHC hydro • HRSC methods • Roe, Marquina, fluxsplit, ENO, HLLE • coupled to various evolution systems • ADM, Conformal systems, Bona-Masso • well tested (gr-qc/9811015)

  6. Newtonian Hydro • HRSC methods • primarily Roe solver • tested on multiple systems • single NS • head-on NSs • orbiting NSs • multiple test indicators • angular momentum • mass • energy

  7. Boson stars • Coupled to a variety of GR evolution systems • stable over a long time scale

  8. EOS tables • 1D tables • tested for polytropic EOS • other EOS are in, but not yet tested • thermo. consistent interp. • 2D tables • still under development • still need incorporated into evolution eqs.

  9. Analysis tools • Apparent horizon finders • waveform extraction • Newman-Penrose quantities • constraint evaluators

  10. Tests • gr-qc/9811015 • still fighting referee • variety of initial data • shocktube • FRW • single static NS • boosted NS

  11. Tests: GR-hydro coupling • 3 hydro methods tested: Roe, fluxsplit and Marquina • 3 GR evolution systems: ADM, BM-Einstein and BM Ricci • often different finite-difference schemes (leapfrog, icn, etc.) • TEST EVERY COMBINATION OF EACH!!!

  12. Tests: GR-hydro coupling(2nd order time & space)

  13. Tests: boosted NS

  14. Tests: boosted NS

  15. Tests: boosted NS

  16. Physics • Phys. Rev. D 58 103002 (1998), gr-qc/9904041, gr-qc/9909059, Shapiro conjecture head-on collision of NS • evolution of quasi-equilibrium NS data (just beginning) • more on the way ;-) • How to do physics with cactus

  17. Physics: head-on collision • Shapiro conjecture: can thermal pressure (from shock heating) delay the collapse in the head-on collision of NS s? Conjecture holds regardless of mass. • Take 2 1.4 solar mass NS (polytropic EOS, G=2, K=1.16x105 cm5/g/s2), give them a velocity corresponding to Newtonian infall from infinity, solve the IVP and see what happens!

  18. Physics: head-on collision

  19. Physics: head-on collision

  20. Physics: head-on collision

  21. Physics: Meudon data

  22. Physics: How to use Cactus • Cactus is not a black box • many untested combinations of parameters • top down approach • check all equations/routines • test for consistency of all terms • test for convergence • bottom up approach • make sure results look "reasonable" • make sure results are "right" • test for convergence

  23. Cactus 4.0 • Most hydro thorns still under conversion • What we will gain: • AMR infrastructure • better interfacing between GR-hydro solvers • more users=more developers & debuggers

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