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
17 - Design of 2D numerical geodynamic models
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: Warning message! What is numerical modelling all about? Rock properties for numerical geodynamic models. Design of numerical models for different geodynamic processes: visco-elasto-plastic slab bending, retreating subduction, lithospheric extension, collision, slab detachment, intrusion emplacement, mantle convection with phase changes, core formation.
Exercises: Designing numerical models for studying extension of the continental lithosphere.
Warning message!
Several robust visco-elasto-plastic thermomechanical codes are provided with this chapter and one can ‘play’ with them by changing the model geometry and resolution, as well as the material properties and boundary conditions. There is nothing wrong with that and everyone is welcome to do it. Just be aware that numerical geodynamic modelling is not ‘pressing the button and automatically obtaining results’ but knowing in depth what you and your code are doing. So, don't play a lottery by starting your numerical career by immediately using these codes as research tools. Before doing this, study carefully this rather short book and make sure to correctly complete all the exercises to learn about the advantages and limitations of the numerical modelling techniques used in the provided codes. Otherwise, there is a big risk that your ‘automatically obtained results’ appearing after ‘pressing the button’ will be EXTREMELY WRONG …
What is numerical modelling all about?
Having continuously studied programming and numerical modelling techniques, we might get the impression that writing a good thermomechanical code is the main thing that guarantees success in numerical geodynamic modelling.
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- Information
- Introduction to Numerical Geodynamic Modelling , pp. 269 - 306Publisher: Cambridge University PressPrint publication year: 2009