Characteristics-based marker-in-cell method with conservative finite-differences schemes for modeling geological flows with strongly variable transport properties

By Taras V. Gerya, D. Yuen. 2003

530 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geophysics

View Paper: https://www.semanticscholar.org/paper/1b6dce1cc90747c2ab6d82020f28165bc8734d54

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In Computational Mechanics

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Citations in the corpus

Numerical modelling of magma dynamics coupled to tectonic deformation of lithosphere and crust (2013, background): “These may be avoided by applying a small amount of subgrid diffusion to such marker fields (Gerya & Yuen 2003), accomplished by the following operation: am = (1 − κsub) am + κsuba (xm) , (A28) with a(xm) being the property value fully interpolated from nodes to marker position.”
High Accuracy Mantle Convection Simulation through Modern Numerical Methods. II: Realistic Models and Problems (2017, methodology): “In mantle convection codes, this has traditionally (and successfully) be done using tracer particles [Poli-akov & Podladchikov(1992), Gerya & Yuen(2003), McNa-mara & Zhong(2004), Popov & Sobolev(2008), Thielmann et al.(2014)].”
The seismic cycle at subduction thrusts: Insights from seismo‐thermo‐mechanical models (2013, methodology): “This code has been validated for seismic cycle applications using an iso-viscoelastic, purely mechanical version [van Dinther et al., 2013], while the long-term evolution of temperature is benchmarked separately [Gerya and Yuen, 2003a].”
Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems (2007, methodology): “…Fluid Dynamics Group, Institute of Geophysics, Department of Geosciences, Swiss Federal Institute of Technology (ETH-Zurich), CH-8093 Zurich, Switzerland b Department of Geology and Geophysics and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, MN 55455,…”
Transient hot channels: Perpetrating and regurgitating ultrahigh-pressure, high-temperature crust–mantle associations in collision belts (2008, methodology): “D code I2ELVIS (Gerya and Yuen, 2003a; Gerya and Yuen, 2007) based on finite-differences with a non-diffusive marker-in-cell technique used for advecting and updating material properties such as rock type, temperature, stress and plastic strain.”
A benchmark comparison of spontaneous subduction models – towards a free surface (2008, methodology): “(Cont lanetary Interiors 171 (2008) 198–223 ubduction water rich oceanic crust or sediments may produce a everal km thick weak serpenthenized subduction channel on top of he subducting slab (e.g. Gerya et al., 2002; Gerya and Yuen, 2003b), imilar to our lubrication layer.”
Subduction styles in the Precambrian: Insight from numerical experiments (2009, methodology): “…32 Ma, and after the beginning of subduction, melt-bearing subducted sediments detach from the slab and form a compositionally buoyant plume (e.g. Gerya and Yuen, 2003a; Gerya et al., 2006), whereas at λmelt=0.1, after 6Ma the subducted sediments start tomove below the continental lithosphere…”