Taras GeryaCambridge University PressEdition: 2, 5/23/2019EAN 9781107143142, ISBN10: 1107143144Hardcover, 484 pages, 25.4 x 17.8 x 2.8 cmLanguage: EnglishThis 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 equation2. Density and gravity3. Numerical solutions of partial differential equations4. Stress and strain5. The momentum equation6. Viscous rheology of rocks7. Numerical solutions of the momentum and continuity equations8. The advection equation and marker-in-cell method9. The heat conservation equation10. Numerical solution of the heat conservation equation11. 2D thermomechanical code structure12. Elasticity and plasticity13. 2D implementation of visco-elasto-plasticity14. 2D thermomechanical modelling of inertial processes15. Seismo-thermomechanical modelling16. Hydro-thermomechanical modelling17. Adaptive mesh refinement18. The multigrid method19. Programming of 3D problems20. Numerical benchmarks21. Design of 2D numerical geodynamic modelsEpilogueoutlookAppendixMATLAB® program examplesReferencesIndex.
