Astrophysical Hydrodynamics Group
Nicolaus Copernicus Astronomical Center RJET Hydrodynamics of Relativistic Jets
This work is done in collaboration with Jose Ma. Martí, Departamento de Astronomia y Astrofisica, Universidad de Valencia, Spain. The AMRA code has been developed in collaboration with Ewald Müller, MPA, Garching, Germany. For information about numerical technique used in this work please visit Simulations of Relativistic Jets and Development of a Multidimensional AMR code documents.
Bending Parsec-scale Jets
This document represents a part of material presented at the conference Relativistic Jets in AGNs, Cracow, May 27-30, 1997.

We present the AMR/RJET hydrodynamical simulations of a plane-parallel pressure-matched relativistic jets evolving in the medium with exponential distribution of the density, exp(-y/H), for H=20 (H=2 or H=5 for high-resolution models).
The computational domain of size (x,y)=(200x200) was covered by base grid with resolution of (100x100) zones and at low resolution we used one level of refinement by a factor of 4 in each direction (resolution of 2 zones per beam radius). High-resolution models were obtained on base grid 40x60 zones and two levels of refinements (16 zones per beam radius).
All calculations were done with the CFL number of 0.4 and adiabatic exponent Gamma=5/3.

 
Glossary of symbols used in this document
 
gamma Lorentz factor
Eta ratio of densities (rhob/rhoamb) near the inlet
K ratio of pressures (pb/pamb) near the inlet
Vb beam velocity (c=1)
Mb proper beam Mach number
Rb beam radius
ang inclination angle direction of jet injection and density gradient
entry size of a file (kilobytes)

Low-resolution models

2 zones/Rb, 2 levels, (100x4):(100x4), 400x400

  • exp_std: reference model

    gamma=6 (Vb=0.986), Mb=6, Eta=0.01, K=1

      variable t=300
      d density 26
      F jet material 18
      p pressure 27
      V velocity 28
      d+F+V+p+u+v 110

    at resolution of 4 zones/Rb; frames were taken every ~14 time units 

      	      
      density     (0.6M)
	      
      schlieren   (1.3M)
	      
      AMR levels  (0.3M)

  • exp_exp

    same as exp_std but with exponential stratification of density and ang=45

      variable t=100 t=200 t=300
      d density 42 54 74
      F jet material 6 15 31
      p pressure 9 29 71
      V velocity 8 26 61
      d+F (all times) 162
      p+V (all times) 139

  • exp_mach10

    same as exp_exp but for Mb=10

      variable t=300
      d density 73
      F jet material 31
      p pressure 68
      V velocity 59
      d+F+V+p+u+v 230

  • exp_gam12

    same as exp_exp but for gamma=12

      variable t=100 t=200 t=250
      d density 46 65 76
      F jet material 8 22 32
      p pressure 15 52 76
      V velocity 15 48 68
      d+F (all times) 172
      p+V (all times) 186

  • exp_dens

    same as exp_exp but for Eta=1

      variable t=200
      d density 66
      F jet material 16
      p pressure 73
      V velocity 86
      d+F+V+p+u+v 270

  • exp_conste

    same as exp_exp but gamma=3 and Eta=0.02

      variable t=100 t=200 t=300
      d density 41 51 70
      F jet material 6 16 32
      p pressure 9 27 66
      V velocity 8 25 59
      d+F (all times) 162
      p+V (all times) 131

  • exp_hr

    same as exp_exp but grid twice as large; two levels of refinements

      variable t=100 t=200 t=300 t=400 t=500 t=550
      d density 41 51 70 70 70 70
      p pressure 9 27 66 66 66 66
      grid levels 8 25 59 59 59 59
      d (all times) 162
      p (all times) 131
      L (all times) 131

High-resolution models

16 zones/R_b, 3 levels, (40x4x4):(60x4x4), 640x960

models A-C were presented at the Cracow conference

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