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Core-mantle coupling: Part II: Topographic coupling torques

Greiner-Mai, H., Hagedoorn, J. (2008): Core-mantle coupling: Part II: Topographic coupling torques, (Scientific Technical Report STR ; 08/11), Potsdam : Deutsches GeoForschungsZentrum GFZ, ii, 26 S. p.
DOI: http://doi.org/10.2312/GFZ.b103-08113



http://gfzpublic.gfz-potsdam.de/pubman/item/escidoc:8774
Resources

0811.pdf
(Publisher version), 906KB

Authors

Greiner-Mai ,  Hans

http://gfzpublic.gfz-potsdam.de/cone/persons/resource/janh

Hagedoorn ,  Jan
Scientific Technical Report STR, Deutsches GeoForschungsZentrum;
1.3 Earth System Modelling, 1.0 Geodesy and Remote Sensing, Departments, GFZ Publication Database, Deutsches GeoForschungsZentrum;

Abstract
For the motivation behind our investigations, we refer to the introduction of the first part of our report, Hagedoorn & Geiner-Mai (2008). In this part, we will (i) give an analytical description of the topographic surface of the core-mantle boundary (CMB) and derive an approximation for its normal unit vector containing information about the CMB topography, and (ii) derive an expression for the topographic torque as a function of the topographic height, h, and the velocity field, u. For this, we will check the assumptions made when applying the geostrophic approximation to the upper core-surface region. Finally, we will derive analytical expressions for the torque components depending upon the spherical harmonic (SH) coefficients of h and u in a cartesian geocentric coordinate system.