Premium
Automatic differentiation in meteorology and oceanography
Author(s) -
Korn Peter
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700627
Subject(s) - data assimilation , turbulence , lagrangian , meteorology , general circulation model , dynamical systems theory , assimilation (phonology) , computer science , mathematics , environmental science , oceanography , physics , geology , climate change , linguistics , philosophy , quantum mechanics
The physically consistent integration of observational data in dynamical circulation models of the atmosphere/ocean, e.g. for the purpose of predicting the future evolution of the climate system relies on variational data assimilation algorithms. These algorithms are based on the adjoint method of optimal control theory and implemented by Automatic Differentiation (AD) tools. The presence of turbulent phenomena imposes a challenge on AD based methods of adjoint flow control and highlights the role of the computational turbulence model. For the Lagrangian Averaged turbulence model, applied to the 3D Navier‐Stokes equations, we establish well‐posedness of the data assimilation problem. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)