High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

CW Shu - Journal of Computational Physics, 2016‏ - Elsevier
For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

A mantle convection perspective on global tectonics

N Coltice, M Gérault, M Ulvrová - Earth-science reviews, 2017‏ - Elsevier
The concept of interplay between mantle convection and tectonics goes back to about a
century ago, with the proposal that convection currents in the Earth's mantle drive …

High accuracy mantle convection simulation through modern numerical methods–II: realistic models and problems

T Heister, J Dannberg, R Gassmöller… - Geophysical Journal …, 2017‏ - academic.oup.com
Computations have helped elucidate the dynamics of Earth's mantle for several decades
already. The numerical methods that underlie these simulations have greatly evolved within …

Convective outgassing efficiency in planetary magma oceans: insights from computational fluid dynamics

A Salvador, H Samuel - Icarus, 2023‏ - Elsevier
Planetary atmospheres are commonly thought to result from the efficient outgassing of
cooling magma oceans. During this stage, vigorous convective motions in the molten interior …

Nonlinear viscoplasticity in ASPECT: Benchmarking and applications to subduction

A Glerum, C Thieulot, M Fraters, C Blom… - Solid Earth, 2018‏ - se.copernicus.org
ASPECT (Advanced Solver for Problems in Earth's ConvecTion) is a massively parallel finite
element code originally designed for modeling thermal convection in the mantle with a …

Subduction controls the distribution and fragmentation of Earth's tectonic plates

C Mallard, N Coltice, M Seton, RD Müller, PJ Tackley - Nature, 2016‏ - nature.com
The theory of plate tectonics describes how the surface of Earth is split into an organized
jigsaw of seven large plates of similar sizes and a population of smaller plates whose areas …

The thermo‐chemical evolution of Mars with a strongly stratified mantle

H Samuel, MD Ballmer, S Padovan… - Journal of …, 2021‏ - Wiley Online Library
The Martian mantle probably experienced an early global magma ocean stage. The
crystallization and the fractionation and overturn of such a magma ocean likely led to the …

Geodynamic modeling of lithospheric removal and surface deformation: Application to intraplate uplift in Central Mongolia

MJ Comeau, C Stein, M Becken… - Journal of Geophysical …, 2021‏ - Wiley Online Library
Intraplate surface deformation is enigmatic and the underlying mechanisms responsible are
not fully understood. We use thermo‐mechanical numerical modeling to explore the …

How slab age and width combine to dictate the dynamics and evolution of subduction systems: A 3‐D spherical study

F Chen, DR Davies, S Goes, L Suchoy… - Geochemistry …, 2022‏ - Wiley Online Library
Many of the factors expected to control the dynamics and evolution of Earth's subduction
zones are under‐explored in an Earth‐like spherical geometry. Here, we simulate multi …

[HTML][HTML] 101 geodynamic modelling: how to design, interpret, and communicate numerical studies of the solid Earth

I Van Zelst, F Crameri, AE Pusok, A Glerum… - Solid Earth, 2022‏ - se.copernicus.org
Geodynamic modelling provides a powerful tool to investigate processes in the Earth's crust,
mantle, and core that are not directly observable. However, numerical models are inherently …