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基本説明
Gives students and new Earth Science researchers a solid grounding in basic mathematical theory. With 47 practical exercises and 67 MATLAB examples.
Full Description
Numerical modelling of geodynamic processes was predominantly the domain of high-level mathematicians experienced in numerical and computational techniques. Now, for the first time, students and new researchers in the Earth Sciences can learn the basic theory and applications from a single, accessible reference text. Assuming only minimal prerequisite mathematical training (simple linear algebra and derivatives) the author provides a solid grounding in basic mathematical theory and techniques, including continuum mechanics and partial differential equations, before introducing key numerical and modelling methods. 8 well-documented, state-of-the-art visco-elasto-plastic, 2-D models are then presented, which allow robust modelling of key dynamic processes such as subduction, lithospheric extension, collision, slab break-off, intrusion emplacement, mantle convection and planetary core formation. Incorporating 47 practical exercises and 67 MATLAB examples (for which codes are available online at www.cambridge.org/gerya), this textbook provides a user-friendly introduction for graduate courses or self-study, encouraging readers to experiment with geodynamic models.
Contents
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.
