Universitat Politècnica de Catalunya · BarcelonaTech

Numerical Modelling (2500221) – Course 2025/26 PDF

Contents

Definition and classification. Boundary conditions Separation of variables Examples of PDEs modelling environmental problems Practical exercises

Dedication

6h Large group + 2h Medium group + 11h 40m Self Study
Total: 19h 40m

- Difference operators - Heat equation. Discretization in space and time. Explicit/implicit methods. Stability - Transport equation. Treatment of the convective term. Solution of convection-diffusion problems Simulation: finite differences solution of the heat equation and convection-diffusion problems

Dedication

12h Large group + 14h Medium group + 39h 10m Self Study
Total: 65h 10m

- Weak form - Discretization: approximation of the solution and system of equations (Galerkin) - Problem solving - General formulation for the simulation of environmental problems

Dedication

12h Large group + 14h Medium group + 39h 10m Self Study
Total: 65h 10m