
NUMERICAL MODELLING IN GEOSCIENCES
Prerequisites:

Basic mathematics, physics and MatLab 
Examination methods:

Oral and practical test 
Course unit contents:

1. Mathematical basis for partial differential equations (derivatives, gradient, divergency, laplacian operator)
2. Rock physical properties (viscosity, elastic moduli, cohesion and friction coefficient, density, thermal conductivity and diffusivity, heat capacity)
3. Synthetic phase diagrams and thermodynamical database implementation
4. Stress, strain and strain rate tensors and constitutive relationships.
5. Viscoelastoplastic deformation
6. Diffusion equation
7. Conservation of mass
8. Conservation of momentum
9. Conservation of energy
10. Numerical method: finite difference with particleincell (mixed EulerianLagrangian scheme)
11. Solution of systems of equation with iterative (GaussSiedel) ir direct (Gauss elimination) methods.
12. Working with MatLab software to:
 save, read and plot data
 programming petrologicalthermomechanical numerical codes with viscous deformation and variable physical properties 

