EGU22-11131, updated on 28 Mar 2022
EGU General Assembly 2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

The Face-Centered Finite Volume method for Geodynamic Modelling

Thibault Duretz1, Ludovic Räss2,3, and Rubén Sevilla4
Thibault Duretz et al.
  • 1Institut für Geowissenschaften, Goethe‐Universität Frankfurt, Frankfurt, Germany
  • 2Laboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zurich, Zurich, Switzerland
  • 3Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Birmensdorf, Switzerland
  • 4Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Wales, UK

The Face-Centered Finite Volume (FCFV) is a newly developed discretisation technique that has been applied to a variety of engineering problems. This approach is based on the hybridisable discontinuous Galerkin formulation with constant degree approximations. The FCFV is particularly attractive approach since it meets numerous essential criteria for successful geodynamic modelling. It offers full geometric flexibility, natural free surface boundary condition, second order accuracy velocity-field solutions, no oscillatory pressure modes, relatively low computational cost and adequate treatment of jump conditions at material interfaces. Here we present the implementation of Poisson and Stokes solvers in the Julia computing language. Here we present the implementation of Poisson and Stokes solvers using the performant Julia language. We discuss several solving strategies including direct-iterative and iterative pseudo-transient approaches, the latter executing efficiently on Graphical Processing Units. We extend the original FCFV Stokes formulation to account for discontinuous viscosity case and discuss the implementation of complex visco-elasto-plastic rheologies.

How to cite: Duretz, T., Räss, L., and Sevilla, R.: The Face-Centered Finite Volume method for Geodynamic Modelling, EGU General Assembly 2022, Vienna, Austria, 23–27 May 2022, EGU22-11131,, 2022.


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