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- Title
Modelling chemical advection during magma ascent.
- Authors
Dominguez, Hugo; Riel, Nicolas; Lanari, Pierre
- Abstract
Modelling magma transport requires robust numerical schemes for chemical advection. Current numerical schemes vary in their ability to be mass conservative, computationally efficient, and accurate. This study compares four of the most commonly used numerical schemes for advection: an upwind scheme, a weighted essentially non-oscillatory (WENO-5) scheme, a semi-Lagrangian (SL) scheme, and a marker-in-cell (MIC) method. We assess the behaviour of these schemes using the passive advection of two different magmatic compositions. This is coupled in 2D with the temporal evolution of a melt anomaly that generates porosity waves. All algorithms, except the upwind scheme, are able to predict the melt composition with reasonable accuracy. In terms of total running time, the upwind and SL schemes are the fastest, and the MIC scheme is the slowest. The WENO-5 scheme shows intermediate total running time but has the lowest amount of mass loss and therefore is best suited for this problem.
- Subjects
CHEMICAL models; ADVECTION; MAGMAS
- Publication
Geoscientific Model Development Discussions, 2023, p1
- ISSN
1991-9611
- Publication type
Article
- DOI
10.5194/gmd-2023-189