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Simulating Overtopping of seawall defences B.D. Rogers*, M.V. McCabe, P.K. Stansby, D.A. Apsley

Simulating Overtopping of seawall defences B.D. Rogers*, M.V. McCabe, P.K. Stansby, D.A. Apsley. *RCUK Research Fellow School of MACE. Outline. Introduction to Overtopping: The need for numerical models Numerical Model 1: Boussinesq-type model Modification for Seawall

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Simulating Overtopping of seawall defences B.D. Rogers*, M.V. McCabe, P.K. Stansby, D.A. Apsley

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  1. Simulating Overtopping of seawall defences B.D. Rogers*, M.V. McCabe, P.K. Stansby, D.A. Apsley *RCUK Research Fellow School of MACE

  2. Outline Introduction to Overtopping: • The need for numerical models Numerical Model 1: • Boussinesq-type model • Modification for Seawall Numerical Model 2: • Smoothed Particle Hydrodynamics (SPH) • Effect of the recurve wall Results: • Overtopping events and volumes

  3. Prediction of Wave Overtopping • Physical Models • Empirical Data • Numerical Modelling?

  4. Nonlinear Shallow Water Equations

  5. Shallow Water and Boussinesq Equations with a Vertical Wall Boussinesq Terms Dissipation Terms Continuity Equation Momentum Equation Force Imposed by a Wall hwall Fwall u

  6. Shallow Water And Boussinesq (SWAB) Model Validation 7 Wave Overtopping Volumes, Prototype Scale Field Data (from EA) = 3.41m, / = 0.04 H H L 0 0 m0 6 Laboratory Data SWAB Model without Force at Seawall SWAB Model with Force at Seawall /m) 5 3 4 Cumulative Volume (m 3 2 1 0 0 200 400 600 800 1000 1200 Time (s)

  7. ExampleOvertopping and Beach Level at Walcott Link to Movie

  8. 2007 Storm – Overtopping Rates

  9. Detailed modelling requires SPH Smoothed Particle Hydrodynamics (SPH) Overtopping, flooding and inundation Breaking waves on beaches Plunger Splash up (Photo courtesy of F. Raichlen) Radius of influence Very complex multi-phase multi-scale highly nonlinear problems

  10. The Future: (Multi) Hybrid Chips • Dual-SPHysics (cpu & gpu) – SPEEDUPS of 100 for a Desktop machine = Supercomputer of 1000’s cores • Crespo et al.

  11. SPH simulation

  12. SPH simulation

  13. SPH simulation

  14. SPH simulation

  15. SPH simulation

  16. SPH simulation

  17. In SPH, we know that overtopping is dependent on resolution, so with a much finer resolution this could well produce higher values 3m

  18. Overtopping volumes from SPH Simulations • Results: • With the same bathmetry from the Boussinesq simulations: overtopping events of 2400 litres/m • With the Recurve wall: overtopping event of 540 litres/m • Comparison with Boussinesq & Eurotop

  19. Thank you • Acknowledgements: • Maurice McCabe • Nicolas Chini • Peter Stansby • SeaZone – bathymetry below the low water line • Environment Agency (EA) – beach profile above the low water line

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