Pollutant Transport Modelling (250MEA011) – Course 2024/25 PDF
Contents
What is a model? Types. Utility. Difficulties. The modeling process A generic numerical method. Application to solving the flow equation. Typical program structure. Review of the most used numerical methods and comparison of them. The modeling process. Conceptual model. Boundary and initial conditions. Calibration and validation Illustration example.
Dedication
2h Large groupGeneral formulation eq. Flow (Review) Finite difference scheme. Formal derivation Temporal integration methods. Implicit, explicit, and Crank-Nicholson schemes. Boundary conditions. Types and implementation. Stability. Consistency and truncation error. Convergence and convergence error Solution of the linear system of equations
Dedication
6h Large groupGeneralities. Weighted residuals. Alternative formulations Finite elements. Discretization and shape functions. Derivation of equations by the Galerkin method. Other types of elements. Simple, complex, multiple, isoparametric. Application to the simple 2D case. Temporal integration schemes. Application to a one-dimensional case.
Dedication
6h Large groupMechanisms of solute transport. Basic formulations Finite differences. Integrated finite differences. Upstream weighting Finite elements Discussion of stability issues. Conditions on the Peclet and Courant numbers Application to a one-dimensional case.
Dedication
6h Large groupPurely Lagrangian methods. Evaluation of the material derivative. Limitations Eulerian-Lagrangian methods. Particle methods Random walk method Comparison between different methods.
Dedication
4h Large groupAutomatic calibration versus manual calibration Linear and nonlinear regression, sensitivity matrix Calibration statistics
Dedication
4h Large groupGeneralities. Newton-Raphson method, Picard,… Solution of the flow eq. for free aquifer. Example Unsaturated medium. Example Reactive Transport. Example
Dedication
3h Large groupLearning MODEL MUSE
Dedication
8h Large group