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Introduction to Numerical Geodynamic Modelling

Introduction to Numerical Geodynamic Modelling

Introduction to Numerical Geodynamic Modelling

Taras Gerya, Swiss Federal Institute of Technology (ETH-Zurich)
No date available
Hardback
9780521887540
Hardback

    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.

    • Presents an accessible introduction to numerical modelling of geodynamic processes - providing a convenient reference for graduate students and researchers
    • Provides a practical, nut-and-bolts, approach - including basic theory, techniques and 8 example models
    • 47 exercises and 67 MATLAB examples allow readers to experiment with the models and test their understanding

    Reviews & endorsements

    '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

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    Product details

    No date available
    Hardback
    9780521887540
    358 pages
    254 × 180 × 22 mm
    0.86kg
    138 b/w illus. 5 tables 47 exercises

    Table of 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.
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    Chapter 14
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    Chapter 8
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    Chapter 1
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    Chapter 10
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    Chapter 7
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    Chapter 11
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    Chapter 6
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    Chapter 3
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    Epilogue
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    Chapter 5
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    Chapter 15
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