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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/gmd-2020-28
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-2020-28
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: development and technical paper 26 Mar 2020

Submitted as: development and technical paper | 26 Mar 2020

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This preprint is currently under review for the journal GMD.

ConvectiveFoam1.0: development and benchmarking of a infinite-Pr number solver

Sara Lenzi1,2, Matteo Cerminara3, Mattia de' Michieli Vitturi3, Tomaso Esposti Ongaro3, and Antonello Provenzale2 Sara Lenzi et al.
  • 1Graduate School in Physics and Astrophysics, Torino
  • 2Istituto di Geoscienze e Georisorse, CNR, Pisa
  • 3Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa

Abstract. We developed a new fluid-dynamical numerical model, which we call convectiveFoam, designed to simulate fluids with very large Prandtl number. First we implemented the high-Pr case, in which advection still acts explicitly, and then the Pr → ∞ version, where the momentum equation becomes diagnostic (that is, without time derivatives) and it is formalized as an elliptic problem. The new solver, based on a finite volume integration method, is developed on the OpenFOAM platform and it exhibits a good performance in terms of computational costs and accuracy of the results. Scaling properties show a maximum performance around 16000 cells/core, in agreement with other works developed on the same platform. A systematic validation of the solver was performed for both 2D and 3D geometries, showing that convectiveFoam is able to reproduce the main results of several iso-viscous cases. This new solver can thus simulate idealized configurations of natural geophysical convection, such as in the Earth Mantle where Pr = 1023. This solver represents a starting point for general exploration of the behaviour and parameter dependence of several fluid systems of geological interest.

Sara Lenzi et al.

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Sara Lenzi et al.

Model code and software

convectiveFoam1.0 Sara Lenzi, Matteo Cerminara https://doi.org/10.5281/zenodo.3718556

Sara Lenzi et al.

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Latest update: 28 Mar 2020
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