Geoscientific Model Development
Geoscientific Model Development
GMD
Articles | Volume 14, issue 4
Articles | Volume 14, issue 4
https://doi.org/10.5194/gmd-14-1899-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-14-1899-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 14, issue 4
Methods for assessment of models
 | 
09 Apr 2021
Methods for assessment of models |  | 09 Apr 2021

Analytical solutions for mantle flow in cylindrical and spherical shells

Stephan C. Kramer, D. Rhodri Davies, and Cian R. Wilson

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Latest update: 25 Mar 2025
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Short summary
Computational models of Earth's mantle require rigorous verification and validation. Analytical solutions of the underlying Stokes equations provide a method to verify that these equations are accurately solved for. However, their derivation in spherical and cylindrical shell domains with physically relevant boundary conditions is involved. This paper provides a number of solutions. They are provided in a Python package (Assess) and their use is demonstrated in a convergence study with Fluidity.
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