1. The Tous Case study: mesh refinement & optimization data J
The Tous Case study: mesh refinement & optimization data J. Murillo University of Zaragoza 4th (Final) IMPACT Project Workshop: Zaragoza, Spain 3-5th November 2004

2. The Tous case study Sumacarcel flooding

3. Deph averaged Navier-Stokes equations
Mathematical model
Deph averaged Navier-Stokes equations

4. Finite Volume Upwind Scheme
Numerical model
Finite Volume Upwind Scheme
explicit and first-order
upwind treatment of the source terms
special treatment of wetting/drying boundaries.

5. Adapted mesh refinement
Time step and geometry

6. Adapted mesh refinement
Number of involved cells
If the number of cells increases the discrete representation of the real problem improves.
The accuracy of the results is enhanced
Computing time grows

7. Adapted mesh refinement
Computacional experiencie
Larger cells for smooth topography
Smaller cells for highly irregular topography
Optimization: Local refinement

8. Adapted mesh refinement
Structured meshes: refinement
Refinement area

9. Adapted mesh refinement
Triangular mesh of variable density
Level 1
Level 2
Level 3
Level 4

10. Adapted mesh refinement
Triangular mesh refinement: conectors

11. Adapted mesh refinement
Triangular mesh refinement criteria
Z: bottom elevation

12. Adapted mesh refinement
Triangular mesh refinement.

13. Adapted mesh refinement
Detail of the reservoir. Constant density mesh, edge 5 cm.

14. Adapted mesh refinement
Detail of the reservoir. Constant density mesh, edge 20 cm.

15. Adapted mesh refinement
Detail of the reservoir. Maximum edge lenght 20 cm. Minimum 10 cm.

16. Adapted mesh refinement
Constant density mesh, edge 5 cm.
Maximum edge lenght 20 cm. Minimum 10 cm.

17. Adapted mesh refinement
Constant density mesh, edge 5 cm.
Maximum edge lenght 40 cm. Minimum 20 cm.

18. Adapted mesh refinement
Detail of the reservoir. Maximum edge lenght 40 cm

19. The Tous case study
General view

20. Detail of Sumacarcel. Edge 1.25 m.
Number of cells:

21. Detail of Sumacarcel. Maximum edge lenght 20 m. Minimum 5 m.
Number of cells: 39231

22. Detail of Sumacarcel. Maximum edge lenght 20 m. Minimum 5 m
Detail of Sumacarcel. Maximum edge lenght 20 m. Minimum 5 m.Number of cells: 39231

23. Computed data. Initial hydrograph.

24. If not the computing time is unacceptable.
The main conclusion is that the development of local refinement techniques is fundamental to perform flooding simulation over gross areas, where highly irregular geometries are found.
If not the computing time is unacceptable.

25. Thank you for your attention