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Simulations of tilted black hole accretion Sasha Tchekhovskoy (Northwestern) How Do Black Holes Explode Galaxies/Clusters? Perseus Cluster (Fabian et al. 2003) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019 How Do Black Holes


  1. Simulations of tilted 
 black hole accretion Sasha Tchekhovskoy (Northwestern)

  2. How Do Black Holes Explode Galaxies/Clusters? Perseus Cluster (Fabian et al. 2003) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  3. How Do Black Holes Explode Galaxies/Clusters? Perseus Cluster (Fabian et al. 2003) (Forman et al. 2007) M87 Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  4. How Do Black Holes Explode Galaxies/Clusters? Perseus Cluster (Fabian et al. 2003) (Forman et al. 2007) M87 MS0735.6 (McNamara et al. 2009) JETS! JETS! Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  5. We are Missing Something Important! MS0735.6 NASA NASA (McNamara et al. 2009) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  6. We are Missing Something Important! MS0735.6 NASA NASA w ~ o a fl t u o inflow BH jet (McNamara et al. 2009) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  7. We are Missing Something Important! MS0735.6 NASA NASA w ~ o a fl t u o BH inflow jet (McNamara et al. 2009) YES: typical disks are tilted Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  8. We are Missing Something Important! MS0735.6 NASA NASA ~ a ?? BH outflow ?? jet inflow (McNamara et al. 2009) YES: typical disks are tilted No: we do not understand them (yet) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  9. Tilted Disks are Hot • Thick disks precess due to general 
 ~ a relativistic frame dragging by BH spin 
 (Fragile et al. 2005, 2007, Teixeira 2014) BH inflow Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  10. Tilted Disks are Hot • Thick disks precess due to general 
 ~ a relativistic frame dragging by BH spin 
 (Fragile et al. 2005, 2007, Teixeira 2014) BH • Thin disks can align due to 
 inflow Bardeen-Petterson (1975) effect • Seen only in pseudo-Newtonian 
 simulations, not in GR 
 ~ a (Nixon et al. 2012; Nealon et al. 2015) • Do thin disks align in GR? Do they form jets? BH Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  11. Tilted Disks are Hot • Thick disks precess due to general 
 ~ a relativistic frame dragging by BH spin 
 (Fragile et al. 2005, 2007, Teixeira 2014) BH • Thin disks can align due to 
 inflow Bardeen-Petterson (1975) effect • Seen only in pseudo-Newtonian 
 simulations, not in GR 
 ~ a (Nixon et al. 2012; Nealon et al. 2015) • Do thin disks align in GR? Do they form jets? BH • Challenge: enormous dynamical range . 
 Need to resolve thin disk over long run times: • prohibitive cost ∝ ( h / r ) -5 • very long accretion time: t = 4 × 10 5 r g /c ( α /0.1) -1 (30 h / r ) -2 ( r /10 r g ) 1.5 • How could one possibly pull this off??! Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  12. Tilted Disks are Hot • Thick disks precess due to general 
 ~ a relativistic frame dragging by BH spin 
 (Fragile et al. 2005, 2007, Teixeira 2014) BH • Thin disks can align due to 
 inflow Bardeen-Petterson (1975) effect • Seen only in pseudo-Newtonian 
 simulations, not in GR 
 ~ a (Nixon et al. 2012; Nealon et al. 2015) • Do thin disks align in GR? Do they form jets? BH • Challenge: enormous dynamical range . 
 Need to resolve thin disk over long run times: • prohibitive cost ∝ ( h / r ) -5 • very long accretion time: t = 4 × 10 5 r g /c ( α /0.1) -1 (30 h / r ) -2 ( r /10 r g ) 1.5 • How could one possibly pull this off??! • approximately include frame-dragging effect, evolve for 1% of accretion time 
 (Sorathia+13a,b, Hawley & Krolik 15, 18,19) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  13. Tilted Disks are Hot • Thick disks precess due to general 
 ~ a relativistic frame dragging by BH spin 
 (Fragile et al. 2005, 2007, Teixeira 2014) BH • Thin disks can align due to 
 inflow Bardeen-Petterson (1975) effect • Seen only in pseudo-Newtonian 
 simulations, not in GR 
 ~ a (Nixon et al. 2012; Nealon et al. 2015) • Do thin disks align in GR? Do they form jets? BH • Challenge: enormous dynamical range . 
 Need to resolve thin disk over long run times: • prohibitive cost ∝ ( h / r ) -5 • very long accretion time: t = 4 × 10 5 r g /c ( α /0.1) -1 (30 h / r ) -2 ( r /10 r g ) 1.5 • How could one possibly pull this off??! • approximately include frame-dragging effect, evolve for 1% of accretion time 
 (Sorathia+13a,b, Hawley & Krolik 15, 18,19) • is it even possible to attack the full problem? • this would require hundreds of millions of CPU core-hours! Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  14. H-AMR: What’s Your Nail? • Multi-GPU 3D H-AMR (“hammer”, Liska, AT, et al. 2018) : • Based on HARMPI • 85% parallel scaling to 4096 GPUs (MPI, OpenMP , OpenCL, CUDA, NVLINK, GPUDIRECT) • 100x speedup on 1 GPU vs 1 BW CPU core Matthew Liska 
 (U of Amsterdam) Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  15. H-AMR: What’s Your Nail? • Multi-GPU 3D H-AMR (“hammer”, Liska, AT, et al. 2018) : • Based on HARMPI • 85% parallel scaling to 4096 GPUs (MPI, OpenMP , OpenCL, CUDA, NVLINK, GPUDIRECT) • 100x speedup on 1 GPU vs 1 BW CPU core 100M Matthew Liska 
 (U of Amsterdam) $3k Same speed in GR as non- relativistic GPU codes 3M Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  16. H-AMR: What’s Your Nail? • Multi-GPU 3D H-AMR (“hammer”, Liska, AT, et al. 2018) : • Based on HARMPI • 85% parallel scaling to 4096 GPUs (MPI, OpenMP , OpenCL, CUDA, NVLINK, GPUDIRECT) • 100x speedup on 1 GPU vs 1 BW CPU core 100M Matthew Liska 
 (U of Amsterdam) $3k Same speed in GR as non- relativistic GPU codes $30k Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  17. H-AMR: What’s Your Nail? • Multi-GPU 3D H-AMR (“hammer”, Liska, AT, et al. 2018) : • Based on HARMPI • 85% parallel scaling to 4096 GPUs (MPI, OpenMP , OpenCL, CUDA, NVLINK, GPUDIRECT) • 100x speedup on 1 GPU vs 1 BW CPU core Matthew Liska 
 • Advanced features (extra few - 10x speedup): (U of Amsterdam) • Adaptive Mesh Refinement (AMR) • Local adaptive time-stepping Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  18. H-AMR: What’s Your Nail? • Multi-GPU 3D H-AMR (“hammer”, Liska, AT, et al. 2018) : • Based on HARMPI • 85% parallel scaling to 4096 GPUs (MPI, OpenMP , OpenCL, CUDA, NVLINK, GPUDIRECT) • 100x speedup on 1 GPU vs 1 BW CPU core Matthew Liska 
 • Advanced features (extra few - 10x speedup): (U of Amsterdam) • Adaptive Mesh Refinement (AMR) • Local adaptive time-stepping • These advances are crucial for enabling 
 next-generation research: • 5M K20x GPU-hours/yr = effectively 
 5B CPU core-hours/yr on Blue Waters • Science is no longer limited by 
 computational resources ! Alexander (Sasha) Tchekhovskoy Blue Waters Symposium 2019

  19. No signs of alignment… 2 2 80 40 a = 0.93 -3 -3 0 i = 45 ° h / r = 0.05 -40 -8 -80 -8 -5 5 -80 -40 40 0 0 80 • No sign of alignment at this thickness, h / r = 0.05 … • E ffective resolution 2880 × 860 × 1200 , 3 AMR levels Liska, Hesp, AT+ 2019, MNRAS, submitted, arXiv:1904.08428

  20. Thin Misaligned Disks Align and Break 2 2 80 40 a = 0.93 i = 45 ° -3 0 -3 h / r = 0.03 -40 -80 -8 -8 -10 10 -80 -40 40 0 0 80 • First demonstration of (Bardeen-Petterson?) alignment and disk breaking in GRMHD! • Formation of powerful precessing jets → can this explain jets from quasars? • Inflow equilibrium out to 15-20 r g • E ffective resolution 2880 × 860 × 1200 , 3 AMR levels Liska, AT+ 2019, MNRAS, doi:10.1093/mnras/stz834 Liska, Hesp, AT+ 2019, MNRAS, submitted, arXiv:1904.08428

  21. Even Thinner Disks Align to Larger Distance 2 2 80 40 a = 0.93 -3 0 -3 i = 45 ° h / r = 0.015 -40 -80 -8 -8 -10 10 -80 -40 40 0 0 80 • Start with h / r = 0.03 , cool down to h / r = 0.015 • Alignment radius is larger for smaller h / r • Inflow equilibrium out to 10 r g • E ffective resolution 5760x1720x2400 , 4 AMR levels Liska, Hesp, AT+ 2019, MNRAS, submitted, arXiv:1904.08428

  22. Thin Strongly Misaligned Disks Tear • Disks can tear up into individual segments • Extra dissipation and luminosity • Completely different a = 0.93 luminosity profile i = 65 ° • Can affect BH spin h / r = 0.03 measurements • Can this explain larger observed disk size than expected? 3 AMR levels (Blackburne+2011) Effective resolution: 2880x860x1200 Liska, Hesp, AT+ 2019, MNRAS, submitted, arXiv:1904.08428

  23. Thin Strongly Misaligned Disks Tear • Disks can tear up into individual segments • Extra dissipation and luminosity • Completely different luminosity profile • Can affect BH spin measurements • Can this explain larger observed disk size than expected? 3 AMR levels (Blackburne+2011) Effective resolution: 2880x860x1200 Liska, Hesp, AT+ 2019, MNRAS, submitted, arXiv:1904.08428

  24. Thin Strongly Misaligned Disks Tear • Disks can tear up into individual segments • Extra dissipation and luminosity • Completely different luminosity profile • Can affect BH spin measurements • Can this explain larger observed disk size than expected? 3 AMR levels (Blackburne+2011) Effective resolution: 2880x860x1200 Liska, Hesp, AT+ 2019, MNRAS, submitted, arXiv:1904.08428

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