Introduction to numerical geodynamic modelling

著者

書誌事項

Introduction to numerical geodynamic modelling

Taras Gerya

Cambridge University Press, 2010

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注記

Includes bibliographical references (p. 326-339) and index

内容説明・目次

内容説明

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.

目次

  • 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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