Contents

• Abstract
• Dedication
• Acknowledgments
• Contents
• List of Figures
• List of Tables
  • Introduction
  • Previous Work
• The models
  • The Mathematical Model
    • Shallow Water Equations
    • Boundary Conditions.
  • Tidal, The Serial Numerical Model
    • The ADI method
    • Finite differences scheme
      • Line-wise i implicit sweep
      • Column-wise j implicit sweep
      • Finite differences operators
    • Tridiagonal system
    • Boundary conditions
      • Water Level type BC
      • Flow type BC
      • Low reflecting boundary
    • Tridiagonal matrix assembling.
    • Stability of the difference scheme
      • 1D approximation
      • 2D approximation
  • PTidal, the Block Domain Decomposition
    • Explicit-Implicit Implementation
    • Fully Implicit Implementation
• Numerical Results.
  • Comparison with 1D Analytical Solution
  • Numerical model accuracy.
    • Accuracy analytical determination.
    • Grid refinement study, test on a square basin.
      • The test setup.
      • Accuracy estimation.
  • Application over the Río de la Plata
    • Description.
    • Astronomic tide simulation.
    • Meteorological tide comparison.
  • Speedup Measurement
    • Analytical speedup
    • Experimental speedup measurement
  • Comparison of the two parallel versions.
    • Explicit-Implicit
    • Fully Implicit
• Final Remarks.
  • Conclusions.
  • Further Work.
  • Nomenclature & Glossary
  • General Performance Considerations
    • Speedup.
    • Scalability
    • Task Granularity
    • Load Balancing
• Bibliography