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A hierarchical mesh refinement technique for global 3-D spherical mantle convection modelling

DR Davies, JH Davies, PC Bollada, O Hassan, K Morgan, Perumal Nithiarasu Orcid Logo, Oubay Hassan Orcid Logo

GEOSCIENTIFIC MODEL DEVELOPMENT, Issue: 6, Pages: 1095 - 1107

Swansea University Authors: Perumal Nithiarasu Orcid Logo, Oubay Hassan Orcid Logo

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DOI (Published version): 10.5194/gmd-6-1095-2013

Abstract

A method for incorporating multi-resolution capabilities within pre-existing global 3-D spherical mantle convection codes is presented. The method, which we term "geometric multigrid refinement", is based upon the application of a multigrid solver on non-uniform, structured grids and allow...

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Published in: GEOSCIENTIFIC MODEL DEVELOPMENT
Published: 2013
URI: https://cronfa.swan.ac.uk/Record/cronfa20243
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Abstract: A method for incorporating multi-resolution capabilities within pre-existing global 3-D spherical mantle convection codes is presented. The method, which we term "geometric multigrid refinement", is based upon the application of a multigrid solver on non-uniform, structured grids and allows for the incorporation of local high-resolution grids within global models. Validation tests demonstrate that the method is accurate and robust, with highly efficient solutions to large-scale non-uniform problems obtained. Significantly, the scheme is conceptually simple and straightforward to implement, negating the need to reformulate and restructure large sections of code. Consequently, although more advanced techniques are under development at the frontiers of mesh refinement and solver technology research, the technique presented is capable of extending the lifetime and applicability of pre-existing global mantle convection codes.
College: Faculty of Science and Engineering
Issue: 6
Start Page: 1095
End Page: 1107