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= Description of the course = The lecture will cover the thermodynamic coupling between the sea ice, the ocean, and the atmosphere. It is designed for master-level students with moderate knowledge in numerics, scientific programming, and sea ice physics. A conceptual model of the Arctic will be derived and simulation results will be analysed. For didactical reasons the model will be developed from scratch and kept as simple as possible, but complex enough to learn about the basic principles of the thermodynamic interaction between the ocean, the ice and the atmosphere for climatic, oceanographic and meteorological studies. = Acknowledgments = This lecture is based on content taken from a lecture ''Sea ice modeling'' by Aike Beckmann (Univ. Hamburg, Summer 2009) and a short course on ''Ice-Ocean Modeling and Data Assimilation'' which was conducted by Frank Kauker and Michael Karcher (Univ. Bremen, 6-7 December 2006). = Project work: source code, results = [[/Gruppe1]] [[/Gruppe2]] [[/Gruppe3]] [[/Gruppe4]] [[/Gruppe5]] = Lesson 1 - Ocean mixed layer and radiative forcing without sea ice and atmosphere = == Scenario 1 == {{attachment:mixed_layer.png}} * Ocean mixed layer forced by shortwave radiation only * No atmosphere * No exchange with deeper ocean layers, immediate mixing * Heat balance at the sea surface: Short wave incoming radiation + long wave outgoing radiation {{{#!latex $ Q_{SW}^{\downarrow} + Q_{LW}^{\uparrow} = Q_{srf} $ }}} * Numerics: forward-in-time integration, finite differences * {{{#!latex $\frac{\partial T_{ml}}{\partial t}\rho_w c_w h_{ml}=Q_{srf}$ }}} == Research questions == Compute the time evolution of the ocean mixed layer temperature ''T_ml(t)'' for different ''h_ml'', initial temperatures ''T_ml(t=0)'', and short wave insolation ''Q_SW''. Estimate the typical time scale for stationarity and select appropriate time step ''delta_t'' for model integration. Change insolation after the model has reached stationarity. = Lesson 2: Radiative fluxes = Radiative flux measurements are available from the [[http://science.larc.nasa.gov/ceres/index.html| Clouds and the Earth s Radiant Energy System (CERES) sensor]]. [[http://eosweb.larc.nasa.gov/PRODOCS/ceres/level3_syn-avg-zavg_table.html|Zonally averaged gridded products]] will be used to validate flux parameterizations. = Literature = [[/Lesson1|References for download]] Maykut, G.A. & N. Untersteiner, 1971: Some results from a time-dependent thermodynamic model of sea ice. J. Geophys. Res.,76, 1550-1575. Semtner, A., 1976: A model for the thermodynamic growth of sea ice in numerical investigations of climate, J. Phys. Oceanogr, 6, 379-389. Hibler III, W.D., 1979: A dynamic-thermodynamic sea ice model. J. Phys. Oceanogr., 9, 815-846. Parkinson, C.L. & W.M. Washington, 1979: A large-scale numerical model of sea ice., J. Geophys. Res., 84, 311-337. |
Sea ice 2
Lecture, exercises and practical by Jun.-Prof. Dr. Lars Kaleschke
- Monday 13:30-15:00
- Room ZMAW 022
Description of the course
The lecture will cover the thermodynamic coupling between the sea ice, the ocean, and the atmosphere. It is designed for master-level students with moderate knowledge in numerics, scientific programming, and sea ice physics. A conceptual model of the Arctic will be derived and simulation results will be analysed. For didactical reasons the model will be developed from scratch and kept as simple as possible, but complex enough to learn about the basic principles of the thermodynamic interaction between the ocean, the ice and the atmosphere for climatic, oceanographic and meteorological studies.
Acknowledgments
This lecture is based on content taken from a lecture Sea ice modeling by Aike Beckmann (Univ. Hamburg, Summer 2009) and a short course on Ice-Ocean Modeling and Data Assimilation which was conducted by Frank Kauker and Michael Karcher (Univ. Bremen, 6-7 December 2006).
Project work: source code, results
/Gruppe1 /Gruppe2 /Gruppe3 /Gruppe4 /Gruppe5
Lesson 1 - Ocean mixed layer and radiative forcing without sea ice and atmosphere
Scenario 1
- Ocean mixed layer forced by shortwave radiation only
- No atmosphere
- No exchange with deeper ocean layers, immediate mixing
Heat balance at the sea surface: Short wave incoming radiation + long wave outgoing radiation
latex error! exitcode was 2 (signal 0), transscript follows:
- Numerics: forward-in-time integration, finite differences
latex error! exitcode was 2 (signal 0), transscript follows:
Research questions
Compute the time evolution of the ocean mixed layer temperature T_ml(t) for different h_ml, initial temperatures T_ml(t=0), and short wave insolation Q_SW.
Estimate the typical time scale for stationarity and select appropriate time step delta_t for model integration.
Change insolation after the model has reached stationarity.
Lesson 2: Radiative fluxes
Radiative flux measurements are available from the Clouds and the Earth s Radiant Energy System (CERES) sensor. Zonally averaged gridded products will be used to validate flux parameterizations.
Literature
Maykut, G.A. & N. Untersteiner, 1971: Some results from a time-dependent thermodynamic model of sea ice. J. Geophys. Res.,76, 1550-1575.
Semtner, A., 1976: A model for the thermodynamic growth of sea ice in numerical investigations of climate, J. Phys. Oceanogr, 6, 379-389.
Hibler III, W.D., 1979: A dynamic-thermodynamic sea ice model. J. Phys. Oceanogr., 9, 815-846.
Parkinson, C.L. & W.M. Washington, 1979: A large-scale numerical model of sea ice., J. Geophys. Res., 84, 311-337.