Introduction to Numerical Geodynamic Modelling

A second edition of this popular introduction to numerical geodynamic modelling theory and applications for graduate students.

Taras Gerya (Author)

9781107143142, Cambridge University Press

Hardback, published 23 May 2019

484 pages, 66 b/w illus. 192 colour illus.
25.3 x 17.8 x 2.8 cm, 1.07 kg

Praise for the first edition: 'The book is written in a light and engaging style such that it deserves a place on the recommended reading list of any undergraduate or Masters course that includes geodynamics. Additionally, it will be a valuable resource for any geoscientist who wants to include geodynamic modelling within their research activities.' Geological Magazine

This hands-on introduction to numerical geodynamic modelling provides a solid grounding in the necessary mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical modelling methods and applications. Fully updated, this second edition includes four completely new chapters covering the most recent advances in modelling inertial processes, seismic cycles and fluid-solid interactions, and the development of adaptive mesh refinement algorithms. Many well-documented, state-of-the-art visco-elasto-plastic 2D models are presented, which allow robust modelling of key geodynamic processes. Requiring only minimal prerequisite mathematical training, and featuring over sixty practical exercises and ninety MATLAB® examples, this user-friendly resource encourages experimentation with geodynamic models. It is an ideal introduction for advanced courses and can be used as a self-study aid for graduates seeking to master geodynamic modelling for their own research projects.

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. 2D thermomechanical code structure
12. Elasticity and plasticity
13. 2D implementation of visco-elasto-plasticity
14. 2D thermomechanical modelling of inertial processes
15. Seismo-thermomechanical modelling
16. Hydro-thermomechanical modelling
17. Adaptive mesh refinement
18. The multigrid method
19. Programming of 3D problems
20. Numerical benchmarks
21. Design of 2D numerical geodynamic models
Epilogue: outlook
Appendix: MATLAB® program examples
References
Index.

Subject Areas: Mechanics of fluids [TGMF], Volcanology & seismology [RBC], Geophysics [PHVG], Fluid mechanics [PHDF], Mathematical modelling [PBWH]