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Discretisation methods:
- Knowledge of the common methods (finite differences, finite
elements, finite volume) and the differences between them
- Advantages and disadvantages and of the methods and thus of
their applicability
- Derivation of the various methods
- Use and choice of the correct boundary conditions for the
various methods
Time discretisation:
- Knowledge of the various possibilities
- Assessment of stability, computational effort, precision
- Courant number, CFL criterion
Transport equation:
- Various discretisation possibilities
- Physical background
- Stabiity criteria of the methods (Peclet number)
Choice of a grid.
Overview of discretisation techniques on the basis of the stationary
groundwater equation:
- Finite differences
- Finite volume (integral finite differences)
- Finite elements
Time discretisation on the basis of the instationary
groundwater equation:
- explicit and implicit methods
Discretisation of the transport equation:
- Central difference methods
- Upwinding
Introduction to stability analysis, convergence
Clarification of concepts: model, simulation
Derivation of the finite element method
Application of the finite element method to the stationary
groundwater equation
Setting-up of a simulation programme for modeling groundwater:
- Programme requirements
- Programming individual routines
Fundamentals of programming in C:
- Control structures
- Functions
- Arrays
- Debugging
Visualisation of the simulation results
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