Gordon Research Conference Ocean Mixing June 8, 2022
Tidal Mixing in the Glacial Ocean
Andreas Schmittner
Last Glacial
Maximum (LGM)
20,000 years ago
Earth was

- colder (~5K)

- more ice sheets

- sea level lower (120 m)

Tierney et al. (2020)
Tidal Energy Dissipation
Present Day
Shallow
~1.5 TW
Deep
~1.5 TW
Jayne & St Laurent (2001)

Egbert & Ray (2003)

Egbert et al. (2004)
Tidal Energy Dissipation
Last Glacial Maximum
Shallow
~0 TW
Deep
~3 TW
Jayne & St Laurent (2001)

Egbert & Ray (2003)

Egbert et al. (2004)
OCE-1559153
Sophie Wilmes

Bangor University
Questions
• Was vertical mixing di
ff
erent during the LGM?

• Did it a
ff
ect AMOC?

• Do sediment data provide constraints?
(2021)
(2019)
Methods
Tide Model Simulations
• OTIS (Oregon State Tidal Inversion
Software)

• M2, S2, O1, K1

• Di
ff
erent resolutions (up to 1/12°)

• Di
ff
erent Internal Tide (IT) Drag
Parameterizations

• Di
ff
erent LGM bathymetries (ICE5G,
ICE6G)

Climate Model Simulations
• Oregon State University version of
University of Victoria model (OSU-UVic)

• Tidal Mixing Parameterization (Jayne, St.
Laurent, Simmons)

• Model of Ocean Biogeochemistry &
Isotopes (MOBI) includes paleo tracers
δ13C, and radiocarbon
• Vary Southern Ocean buoyancy
fl
uxes

• Standard LGM Boundary Conditions (ice
sheets, greenhouse gas concentr., orbit)
Zaron &
Egbert
(2006)

Jayne &
St. Laurent
(2001)
IT drag
param.
Tidal Dissipation
Wilmes et al., (2019)
LGM-PD
M2+S2+K1+O1

z > 500m
=
Tidal Mixing Parameterization
Diapycnal Di
ff
usivity:
Subgrid-scale bathymetry:
Schmittner & Egbert (2014) Geosc. Mod. Devel.
Dissipation E
ffi
ciency = Fraction
of locally dissipated energy
Considers only changes in
locally dissipated energy, which
is only 1/3 of the total!
Reduced
atmospheric
meridional
moisture
fl
ux in
Southern
Hemisphere
Saltier AABW,
shallower &
weaker AMOC
Wilmes et al., (2021)
(in the model)

LGM tidal mixing

• Increases kv

• Increases AMOC

• Increases AABW
Atlantic 30S-30N
10
Wilmes et al., (2021)
Radiocarbon
Sediment Data Compilation from
Skinner et al. (2017)

~250 measurements from ~120 sites
δ13C
Sediment Data Compilation from
Peterson et al. (2017)

~400 sites mostly Atlantic
Atlantic Pro
fi
les
Radiocarbon Age δ13C
δ13C
Radiocarbon
Age
Conclusions
• Increased tidal mixing in LGM is robust result, but quantitatively depends on
reconstructed bathymetry (basin geometry; land ice extent)

• Increased di
ff
usivities increase AMOC & AABW
fl
ow rates

• AMOC strongly a
ff
ects isotopes

• E
ff
ect of increased mixing is more subtle but improves model-data
agreement
• All these results are conservative because they neglect changes in remotely
dissipated energy

• To Do: include remotely dissipated energy in future simulations e.g. by using Eden & Olbers
parameterization (IDEMIX)
Conclusions
• Feedback (climate <-> mixing) is probably small
• Even large increase in tidal dissipation (doubling - tripling) leads only to
modest increases in AMOC (1-3 Sv) and AABW (1-2 Sv) 

• (Except when AMOC is close to threshold)

• E
ff
ects of changes in surface buoyancy
fl
uxes are much larger

• Paleo simulations should include changes in tidal mixing

LGM_Mixing.pdf

  • 1.
    Gordon Research ConferenceOcean Mixing June 8, 2022 Tidal Mixing in the Glacial Ocean Andreas Schmittner
  • 2.
    Last Glacial Maximum (LGM) 20,000years ago Earth was - colder (~5K) - more ice sheets - sea level lower (120 m) Tierney et al. (2020)
  • 3.
    Tidal Energy Dissipation PresentDay Shallow ~1.5 TW Deep ~1.5 TW Jayne & St Laurent (2001) Egbert & Ray (2003) Egbert et al. (2004)
  • 4.
    Tidal Energy Dissipation LastGlacial Maximum Shallow ~0 TW Deep ~3 TW Jayne & St Laurent (2001) Egbert & Ray (2003) Egbert et al. (2004)
  • 5.
    OCE-1559153 Sophie Wilmes Bangor University Questions •Was vertical mixing di ff erent during the LGM? • Did it a ff ect AMOC? • Do sediment data provide constraints? (2021) (2019)
  • 6.
    Methods Tide Model Simulations •OTIS (Oregon State Tidal Inversion Software) • M2, S2, O1, K1 • Di ff erent resolutions (up to 1/12°) • Di ff erent Internal Tide (IT) Drag Parameterizations • Di ff erent LGM bathymetries (ICE5G, ICE6G) Climate Model Simulations • Oregon State University version of University of Victoria model (OSU-UVic) • Tidal Mixing Parameterization (Jayne, St. Laurent, Simmons) • Model of Ocean Biogeochemistry & Isotopes (MOBI) includes paleo tracers δ13C, and radiocarbon • Vary Southern Ocean buoyancy fl uxes • Standard LGM Boundary Conditions (ice sheets, greenhouse gas concentr., orbit)
  • 7.
    Zaron & Egbert (2006) Jayne & St.Laurent (2001) IT drag param. Tidal Dissipation Wilmes et al., (2019) LGM-PD M2+S2+K1+O1 z > 500m
  • 8.
    = Tidal Mixing Parameterization DiapycnalDi ff usivity: Subgrid-scale bathymetry: Schmittner & Egbert (2014) Geosc. Mod. Devel. Dissipation E ffi ciency = Fraction of locally dissipated energy Considers only changes in locally dissipated energy, which is only 1/3 of the total!
  • 9.
  • 10.
    (in the model) LGMtidal mixing • Increases kv • Increases AMOC • Increases AABW Atlantic 30S-30N 10 Wilmes et al., (2021)
  • 11.
    Radiocarbon Sediment Data Compilationfrom Skinner et al. (2017) ~250 measurements from ~120 sites
  • 12.
    δ13C Sediment Data Compilationfrom Peterson et al. (2017) ~400 sites mostly Atlantic
  • 13.
  • 14.
  • 15.
    Conclusions • Increased tidalmixing in LGM is robust result, but quantitatively depends on reconstructed bathymetry (basin geometry; land ice extent) • Increased di ff usivities increase AMOC & AABW fl ow rates • AMOC strongly a ff ects isotopes • E ff ect of increased mixing is more subtle but improves model-data agreement • All these results are conservative because they neglect changes in remotely dissipated energy • To Do: include remotely dissipated energy in future simulations e.g. by using Eden & Olbers parameterization (IDEMIX)
  • 16.
    Conclusions • Feedback (climate<-> mixing) is probably small • Even large increase in tidal dissipation (doubling - tripling) leads only to modest increases in AMOC (1-3 Sv) and AABW (1-2 Sv) • (Except when AMOC is close to threshold) • E ff ects of changes in surface buoyancy fl uxes are much larger • Paleo simulations should include changes in tidal mixing