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The Tous Case study: mesh refinement & optimization data J. Murillo University of Zaragoza 4th (Final) IMPACT Project Workshop: Zaragoza, Spain 3-5th November 2004. The Tous case study Sumacarcel flooding. Sumacarcel. Mathematical model. Deph averaged Navier-Stokes equations. Numerical model.
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The Tous Case study:mesh refinement & optimization dataJ. MurilloUniversity of Zaragoza4th (Final) IMPACT Project Workshop:Zaragoza, Spain 3-5th November 2004
The Tous case studySumacarcel flooding Sumacarcel
Mathematical model Deph averaged Navier-Stokes equations
Numerical model Finite Volume Upwind Scheme • explicit and first-order • upwind treatment of the source terms • special treatment of wetting/drying boundaries.
Adapted mesh refinement Time step and geometry
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
Adapted mesh refinement Computacional experiencie • Larger cells for smooth topography • Smaller cells for highly irregular topography • Optimization: Local refinement
Adapted mesh refinement Structured meshes: refinement Refinement area
Level 1 Level 2 Level 3 Level 4 Adapted mesh refinement Triangular mesh of variable density
Adapted mesh refinement Triangular mesh refinement: conectors
Adapted mesh refinement Triangular mesh refinement criteria Z: bottom elevation
Adapted mesh refinement Triangular mesh refinement.
Adapted mesh refinement Detail of the reservoir. Constant density mesh, edge 5 cm.
Adapted mesh refinement Detail of the reservoir. Constant density mesh, edge 20 cm.
Adapted mesh refinement Detail of the reservoir. Maximum edge lenght 20 cm. Minimum 10 cm.
Adapted mesh refinement Constant density mesh, edge 5 cm. Maximum edge lenght 20 cm. Minimum 10 cm.
Adapted mesh refinement Constant density mesh, edge 5 cm. Maximum edge lenght 40 cm. Minimum 20 cm.
Adapted mesh refinement Detail of the reservoir. Maximum edge lenght 40 cm
The Tous case study General view
Detail of Sumacarcel. Edge 1.25 m. Number of cells: 213689
Detail of Sumacarcel. Maximum edge lenght 20 m. Minimum 5 m. Number of cells: 39231
Detail of Sumacarcel. Maximum edge lenght 20 m. Minimum 5 m.Number of cells: 39231
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.