This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.

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Abstract
Magma bodies play a critical role in Earth's geological evolution, influencing volcanic activity, crustal differentiation, and planetary-scale processes. Understanding their thermo-chemical and mechanical evolution requires models that integrate fluid dynamics, phase changes, and chemical transport. This study presents a new numerical model that couples these processes using a multi-phase, multi-component formulation. The model simulates convection, phase segregation, and thermo-chemical evolution across a wide range of scales, from crustal magma chambers to planetary magma oceans. To ensure numerical stability and physical realism, adaptive regularisation schemes are implemented, including eddy diffusivity for higher-dimensional turbulent flows and convective mixing diffusivity for one-dimensional column models. Benchmark tests confirm the accuracy of the numerical scheme, and use cases demonstrate its applicability to scenarios such as fractional crystallisation, wall-rock assimilation, and magma recharge on crustal scales, and magma ocean solidification on planetary scales. By providing an open-source implementation, this work aims to advance our understanding of dynamic magmatic systems and their role in planetary evolution.
DOI
https://doi.org/10.31223/X5NT5G
Subjects
Applied Mathematics, Computer Sciences, Earth Sciences, Physical Sciences and Mathematics, Planetary Sciences
Keywords
numerical modelling, magma dynamics, magma chamber, magma ocean, Igneous Petrology and Geochemistry, Fluid Mechanics
Dates
Published: 2025-02-06 16:15
License
CC BY Attribution 4.0 International
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Conflict of interest statement:
None
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