Introduction to Numerical Geodynamic Modelling

By Taras V. Gerya. 2010

537 citations recorded by the source corpus.

Acknowledgements Introduction 1. The continuity equation 2. Density and gravity 3. Numerical solutions of partial differential equations 4. Stress and strain 5. The momentum equation 6. Viscous rheology of rocks 7. Numerical solutions of the momentum and continuity equations 8. The advection equation and marker-in-cell method 9. The heat conservation equation 10. Numerical solution of the heat conservation equation 11. 2-D thermomechanical code structure 12. Elasticity and plasticity 13. 2-D implementation of visco-elastic-plastic rheology 14. The multi-grid method 15. Programming of 3-D problems 16. Numerical benchmarks 17. Design of 2-D numerical geodynamic models Epilogue: outlook Appendix: MATLAB program examples References Index.

Subfields: Geophysics

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Citations in the corpus

Driving the upper plate surface deformation by slab rollback and mantle flow (2014, methodology): “The top surface of the lithosphere is calculated dynamically as an internal free surface through a 12km thick layer of “sticky air” (Gerya 2010).”
The seismic cycle at subduction thrusts: Insights from seismo‐thermo‐mechanical models (2013, methodology): “The amount of elastic versus viscous deformation is determined by the viscoelasticity factor (G t)/(G t + vp) [e.g., Moresi et al., 2003; Gerya, 2010a].”
Three-dimensional thermomechanical modeling of oceanic spreading initiation and evolution (2013, unknown): “In some aspects, this model is more complex than previous 3D numerical modeling approaches (Choi et al., 2008; Allken et al., 2011, 2012; Gerya, 2010a).”