A.2 Appendix Part B
This part of the appendix is available on the enclosed data storage device.
It follows a List of contents.
• A MATLAB movie of the evolution of the difference between the two model instances for the surface pressure in T15L3 resolution. It shows the evolution of the difference over 2000 time steps. The rescaling after one day or 48 time steps become visible and it is evident if the total error grew or not. However the movie only shows the pressure part of the total error. The ’playmovie.m’
files need to be executed in MATLAB to view the video.
• The same movie as above but for the absolute value of the difference.
• The two movies above, converted into MPEG-4/AVC format.
• The source code of the Lyapunov subroutine and child subroutines that include the Eady growth rate and the potential vorticity.
• The source code of the blocking detection program.
• This document as a PDF file.
73
Acknowledgement
My immense gratitude goes to the CliSAP Cluster of Excellence, Hamburg for the funding of my three year PhD work. In particular I would like to thank Prof. Klaus Fraedrich, Dr. Richard Blender, Dr. Frank Lunkeit and Silke Schubert for their support.
Furthermore the support by the school of integrated climate system sciences (SICCS) and the SICCS office, in particular Berit Hachfeld has to be acknowledged.
I would like to thank Detlef Stammer as the panel chair during the PhD project.
I would like to thank everyone who has contributed with ideas, discussions and helpful support like Hartmut Borth, Sabine Ehrenreich, Jeroen Wouters, Huan Zhang, Dan Zhang and Sebastian Schubert among others.
I would like to thank Edilbert Kirk and Frank Sielmann for their outstanding support regarding PUMA and other technical issues.
My biggest thanks go out to my family and in particular my brother Dirk who has supported and helped me especially during the most stressful days.
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Nomenclature
(∆TR)EP Equator to Pole Temperature Gradient (∆TR)N S Pole to Pole Temperature Gradient Σ¯ Mean Entropy Production Rate [1/day]
˙
σ Vertical Velocity in Sigma-System
λˆ Largest Local Lyapunov Exponent [1/day]
κ Adiabatic Coefficient
λ Largest Lyapunov Exponent [1/day] or Longitude λi i-th Lyapunov Exponent [1/day]
ω Vertical Velocity in p-System Φ Geopotential
ρ Air Density [kg/m3]
Σ Entropy Production Rate [1/day]
σtp Tropopause Level τF Friction Timescale τH Hyperdiffusion Timescale τR Heating Timescale Θ Potential Temperature ζ Relative Vorticity a Planet Radius D Divergence d, d0 Distances
D1 Information Dimension D2 Correlation Dimension DL Lyapunov Dimension Dq Renyi Dimension E Eady Growth Rate f Corriolis Parameter
g Gravitational Acceleration= 9.81m/s2 HB Hyperdiffusion of Variable B
J Diabatic Heating Rate N2 Brundt-Vaissala Frequency p Atmospheric Pressure [Pa]
PB Parameterisation Concerning Variable B ps Surface Pressure
P V Potential Vorticity R Gas Constant T Temperature T0 T−T0
T0 Heat Capacity of Dry Air at Constant Pressure T0 Reference Temperature
u Zonal Wind
v Meridional Wind or a Vector Y Spherical Harmonics
z Height [m]
ztp Height of Tropopause
77
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Publications derived from this dissertation
Schalge, B., R. Blender, and K. Fraedrich: Blocking detection based on synoptic filters, Advances in meteorology, 2011.