Abstract
This chapter discusses the commonly used numerical methods in modeling mantle convection. While the general principles of finite-difference, finite-volume, and spectral methods are presented, the focus is on finite-element methods and their implementation. Additionally, the chapter also discusses general strategies in modeling geophysical processes including solid-phase transitions, thermal convection of multiple chemical components, and thermal convection with a power-law rheology.
| Original language | English (US) |
|---|---|
| Title of host publication | Treatise on Geophysics |
| Publisher | Elsevier |
| Pages | 227-252 |
| Number of pages | 26 |
| Volume | 7 |
| ISBN (Print) | 9780444527486 |
| DOIs | |
| State | Published - 2007 |
Keywords
- Finite difference
- Finite elements
- Finite volume
- Mantle convection
- Numerical modeling
- Spectral methods