Book contents
- Frontmatter
- 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 2D thermomechanical code structure
- 12 Elasticity and plasticity
- 13 2D implementation of visco-elasto-plastic rheology
- 14 The multigrid method
- 15 Programming of 3D problems
- 16 Numerical benchmarks
- 17 Design of 2D numerical geodynamic models
- Epilogue: outlook
- Appendix: MATLAB program examples
- References
- Index
Epilogue: outlook
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- 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 2D thermomechanical code structure
- 12 Elasticity and plasticity
- 13 2D implementation of visco-elasto-plastic rheology
- 14 The multigrid method
- 15 Programming of 3D problems
- 16 Numerical benchmarks
- 17 Design of 2D numerical geodynamic models
- Epilogue: outlook
- Appendix: MATLAB program examples
- References
- Index
Summary
Theory: Where are we now? Where to go further? Current and future directions of numerical geodynamic modelling development: 3D, MPI, OpenMP, PETSc, AMR, FEM, FVM, GPU/Cell-based computing, interactive computing, realistic physics, visualisation challenges etc.
Exercises: No more exercises and no more homework!
Where are we now?
Where are we after reading 17 chapters + Introduction and performing (all?) analytical and programming exercises and homework? We are still only at the very beginning of the wonderful, rapidly developing, world of numerical geodynamic modelling. The method we learned is based on a finite-difference method and marker-in-cell techniques (FDM+MIC). Although this holds for many geodynamic situations (‘all in one’ tool, Gerya and Yuen, 2007), its universality is not absolute and other approaches may be better suited for some numerical problems. The examples provided in this book are written in a very explicit way, with the purpose of facilitating learning and understanding, rather than to produce massive and fast numerical results. The resolution of the numerical examples is also moderate so that corresponding experiments can be completed in a reasonable amount of time (several seconds to several days) on an ordinary laptop which is, by the way, not exactly the main tool of geodynamic modellers (apart from, sometimes, for code developments and testing, for looking at results computed on big machines and for writing papers and books like this one …). Once again, we are at the beginning and if we want to go further, it is worth reading the following.
- Type
- Chapter
- Information
- Introduction to Numerical Geodynamic Modelling , pp. 307 - 318Publisher: Cambridge University PressPrint publication year: 2009