Table A1.

Cosmological MHD simulations of massive clusters of galaxies adopted in this work. Here, we include only cosmological models, i.e. simulations that start from cosmologically motivated initial conditions on large spatial scales, which are run to z ∼ 0. These simulations differ in which they adopt not only different codes (smooth-particle hydrodynamics, adaptive-mesh refinement, meshless or moving mesh) but also different underlying galaxy formation models. All simulations include feedback from super-massive black holes, but with varying choices and implementations. IllustrisTNG includes MHD. Magneticum includes thermal conduction.

Simulation projectHydrangeaHorizon-AGNMagneticumIllustrisTNG
Run(s)Hydrangea ZoomsAGNBox4, Box2bTNG100
CodeGADGET-3RAMSESGADGET-3AREPO
Lowest available redshiftz = 0z = 0z = 0.2z = 0
Box size (com Mpc)3200a14268, 909111
Star-particle mass resolution (106 M)1.82.02.6, 501.4
# clusters with |$M_\mathrm{200c}\ge 10^{14}\, {\rm M}_{\odot }$|24143, 426814
# clusters analyzed in this paperb27141, 1311
ΛCDM cosmologyPlanck2014WMAP7WMAP7Planck2015
Planck Collaboration (2014)Komatsu et al. (2011)Komatsu et al. (2011)Planck Collaboration (2016)
Star formationdensity thresholddensity-thresholddensity-thresholddensity-threshold
Stellar feedback: methoddirect ISM heatingdirect (momentum and energy)direct energy, temporarytemporary hydro decoupling
decoupled momentum
Stellar feedback: timingstochastic, ΔT = 107.5Kcontinuous (winds + SNII + SNIa)(continuous thermal, probabilisticcontinuous probabilistic, ∝ SFR
winds) ∝ SNII,
continuous thermal ∝ SNIa
Stellar feedback: feedbackthermalkinetic + thermalkinetic + thermalkinetic + thermal (warm)
Stellar feedback: orientationrandomisotropicisotropicisotropic
SMBH: seed mass (106 M)0.10.12, 0.451.2
SMBH: accretionEddington/Bondi–Hoyle–LyttletonEddington/Bondi–Hoyle–LyttletonBondi–Hoyle
SMBH feedback: mode(s)thermalthermal (high), kinetic (low)dual: radio/quasar mode*dual:high-state/low-state
SMBH feedback: timingstochastic, ΔT = 109Kcontinuouscontineouscontinuous/pulsated
SMBH feedback: energythermalthermal/kineticthermalthermal/kinetic
SMBH feedback: orientationrandomisotropic (high)/bipolar (low)isotropicisotropic
Simulation/Method ReferencesSchaye et al. (2015)Dubois et al. (2014)Hirschmann et al. (2014)
Bahé et al. (2017)Teklu et al. (2015)
Simulation projectHydrangeaHorizon-AGNMagneticumIllustrisTNG
Run(s)Hydrangea ZoomsAGNBox4, Box2bTNG100
CodeGADGET-3RAMSESGADGET-3AREPO
Lowest available redshiftz = 0z = 0z = 0.2z = 0
Box size (com Mpc)3200a14268, 909111
Star-particle mass resolution (106 M)1.82.02.6, 501.4
# clusters with |$M_\mathrm{200c}\ge 10^{14}\, {\rm M}_{\odot }$|24143, 426814
# clusters analyzed in this paperb27141, 1311
ΛCDM cosmologyPlanck2014WMAP7WMAP7Planck2015
Planck Collaboration (2014)Komatsu et al. (2011)Komatsu et al. (2011)Planck Collaboration (2016)
Star formationdensity thresholddensity-thresholddensity-thresholddensity-threshold
Stellar feedback: methoddirect ISM heatingdirect (momentum and energy)direct energy, temporarytemporary hydro decoupling
decoupled momentum
Stellar feedback: timingstochastic, ΔT = 107.5Kcontinuous (winds + SNII + SNIa)(continuous thermal, probabilisticcontinuous probabilistic, ∝ SFR
winds) ∝ SNII,
continuous thermal ∝ SNIa
Stellar feedback: feedbackthermalkinetic + thermalkinetic + thermalkinetic + thermal (warm)
Stellar feedback: orientationrandomisotropicisotropicisotropic
SMBH: seed mass (106 M)0.10.12, 0.451.2
SMBH: accretionEddington/Bondi–Hoyle–LyttletonEddington/Bondi–Hoyle–LyttletonBondi–Hoyle
SMBH feedback: mode(s)thermalthermal (high), kinetic (low)dual: radio/quasar mode*dual:high-state/low-state
SMBH feedback: timingstochastic, ΔT = 109Kcontinuouscontineouscontinuous/pulsated
SMBH feedback: energythermalthermal/kineticthermalthermal/kinetic
SMBH feedback: orientationrandomisotropic (high)/bipolar (low)isotropicisotropic
Simulation/Method ReferencesSchaye et al. (2015)Dubois et al. (2014)Hirschmann et al. (2014)
Bahé et al. (2017)Teklu et al. (2015)

a Here, the box size denotes the size of the parent box: Hydrangea comprises a number of so-called zoom-in simulations, with haloes identified and resimulated out of a large parent box.

b For this paper, we focus on clusters in a narrow mass range, namely: |$\log _{10}\, (M_\mathrm{200c}\, /{\rm M}_{\odot }{}) = [14.0, 14.5]$|⁠. Additionally, in the case of the Magneticum run Box2b, we apply additional selection criteria based on relaxedness (see text for details).

† SNII: (Girardi et al. 2000), winds: (Leitherer, Robert & Drissen 1992), SNIa: (Matteucci & Greggio 1986)

* Fabjan et al. (2010)

♣ Marinacci et al. (2018); Naiman et al. (2018); Nelson et al. (2018); Springel et al. (2018); Pillepich et al. (2018b); Nelson et al. (2019)

Table A1.

Cosmological MHD simulations of massive clusters of galaxies adopted in this work. Here, we include only cosmological models, i.e. simulations that start from cosmologically motivated initial conditions on large spatial scales, which are run to z ∼ 0. These simulations differ in which they adopt not only different codes (smooth-particle hydrodynamics, adaptive-mesh refinement, meshless or moving mesh) but also different underlying galaxy formation models. All simulations include feedback from super-massive black holes, but with varying choices and implementations. IllustrisTNG includes MHD. Magneticum includes thermal conduction.

Simulation projectHydrangeaHorizon-AGNMagneticumIllustrisTNG
Run(s)Hydrangea ZoomsAGNBox4, Box2bTNG100
CodeGADGET-3RAMSESGADGET-3AREPO
Lowest available redshiftz = 0z = 0z = 0.2z = 0
Box size (com Mpc)3200a14268, 909111
Star-particle mass resolution (106 M)1.82.02.6, 501.4
# clusters with |$M_\mathrm{200c}\ge 10^{14}\, {\rm M}_{\odot }$|24143, 426814
# clusters analyzed in this paperb27141, 1311
ΛCDM cosmologyPlanck2014WMAP7WMAP7Planck2015
Planck Collaboration (2014)Komatsu et al. (2011)Komatsu et al. (2011)Planck Collaboration (2016)
Star formationdensity thresholddensity-thresholddensity-thresholddensity-threshold
Stellar feedback: methoddirect ISM heatingdirect (momentum and energy)direct energy, temporarytemporary hydro decoupling
decoupled momentum
Stellar feedback: timingstochastic, ΔT = 107.5Kcontinuous (winds + SNII + SNIa)(continuous thermal, probabilisticcontinuous probabilistic, ∝ SFR
winds) ∝ SNII,
continuous thermal ∝ SNIa
Stellar feedback: feedbackthermalkinetic + thermalkinetic + thermalkinetic + thermal (warm)
Stellar feedback: orientationrandomisotropicisotropicisotropic
SMBH: seed mass (106 M)0.10.12, 0.451.2
SMBH: accretionEddington/Bondi–Hoyle–LyttletonEddington/Bondi–Hoyle–LyttletonBondi–Hoyle
SMBH feedback: mode(s)thermalthermal (high), kinetic (low)dual: radio/quasar mode*dual:high-state/low-state
SMBH feedback: timingstochastic, ΔT = 109Kcontinuouscontineouscontinuous/pulsated
SMBH feedback: energythermalthermal/kineticthermalthermal/kinetic
SMBH feedback: orientationrandomisotropic (high)/bipolar (low)isotropicisotropic
Simulation/Method ReferencesSchaye et al. (2015)Dubois et al. (2014)Hirschmann et al. (2014)
Bahé et al. (2017)Teklu et al. (2015)
Simulation projectHydrangeaHorizon-AGNMagneticumIllustrisTNG
Run(s)Hydrangea ZoomsAGNBox4, Box2bTNG100
CodeGADGET-3RAMSESGADGET-3AREPO
Lowest available redshiftz = 0z = 0z = 0.2z = 0
Box size (com Mpc)3200a14268, 909111
Star-particle mass resolution (106 M)1.82.02.6, 501.4
# clusters with |$M_\mathrm{200c}\ge 10^{14}\, {\rm M}_{\odot }$|24143, 426814
# clusters analyzed in this paperb27141, 1311
ΛCDM cosmologyPlanck2014WMAP7WMAP7Planck2015
Planck Collaboration (2014)Komatsu et al. (2011)Komatsu et al. (2011)Planck Collaboration (2016)
Star formationdensity thresholddensity-thresholddensity-thresholddensity-threshold
Stellar feedback: methoddirect ISM heatingdirect (momentum and energy)direct energy, temporarytemporary hydro decoupling
decoupled momentum
Stellar feedback: timingstochastic, ΔT = 107.5Kcontinuous (winds + SNII + SNIa)(continuous thermal, probabilisticcontinuous probabilistic, ∝ SFR
winds) ∝ SNII,
continuous thermal ∝ SNIa
Stellar feedback: feedbackthermalkinetic + thermalkinetic + thermalkinetic + thermal (warm)
Stellar feedback: orientationrandomisotropicisotropicisotropic
SMBH: seed mass (106 M)0.10.12, 0.451.2
SMBH: accretionEddington/Bondi–Hoyle–LyttletonEddington/Bondi–Hoyle–LyttletonBondi–Hoyle
SMBH feedback: mode(s)thermalthermal (high), kinetic (low)dual: radio/quasar mode*dual:high-state/low-state
SMBH feedback: timingstochastic, ΔT = 109Kcontinuouscontineouscontinuous/pulsated
SMBH feedback: energythermalthermal/kineticthermalthermal/kinetic
SMBH feedback: orientationrandomisotropic (high)/bipolar (low)isotropicisotropic
Simulation/Method ReferencesSchaye et al. (2015)Dubois et al. (2014)Hirschmann et al. (2014)
Bahé et al. (2017)Teklu et al. (2015)

a Here, the box size denotes the size of the parent box: Hydrangea comprises a number of so-called zoom-in simulations, with haloes identified and resimulated out of a large parent box.

b For this paper, we focus on clusters in a narrow mass range, namely: |$\log _{10}\, (M_\mathrm{200c}\, /{\rm M}_{\odot }{}) = [14.0, 14.5]$|⁠. Additionally, in the case of the Magneticum run Box2b, we apply additional selection criteria based on relaxedness (see text for details).

† SNII: (Girardi et al. 2000), winds: (Leitherer, Robert & Drissen 1992), SNIa: (Matteucci & Greggio 1986)

* Fabjan et al. (2010)

♣ Marinacci et al. (2018); Naiman et al. (2018); Nelson et al. (2018); Springel et al. (2018); Pillepich et al. (2018b); Nelson et al. (2019)

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