Solid Earth
Solid Earth
SE
Articles | Volume 8, issue 6
Articles | Volume 8, issue 6
https://doi.org/10.5194/se-8-1181-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-8-1181-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 8, issue 6
Method article
 | 
24 Nov 2017
Method article |  | 24 Nov 2017

Analytical solution for viscous incompressible Stokes flow in a spherical shell

Cedric Thieulot

Viewed

Total article views: 2,872 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
1,672 1,053 147 2,872 160 154
  • HTML: 1,672
  • PDF: 1,053
  • XML: 147
  • Total: 2,872
  • BibTeX: 160
  • EndNote: 154
Views and downloads (calculated since 27 Jul 2017)
Cumulative views and downloads (calculated since 27 Jul 2017)

Viewed (geographical distribution)

Total article views: 2,872 (including HTML, PDF, and XML) Thereof 2,602 with geography defined and 270 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Latest update: 22 Mar 2025
Download
Short summary
I present a new family of analytical flow solutions to the incompressible Stokes equation in a spherical shell. The velocity is tangential to both inner and outer boundaries, the viscosity is radial, and the solution has been designed so that the expressions for velocity, pressure, and body force are simple to implement in (geodynamics) codes. This forms the basis of a numerical benchmark for convection codes, and I have implemented it in two finite-element codes.
Read more
Share