Update of the Eurotop Manual: new insights on wave overtopping Jentsje van der Meer William Allsop, Tom Bruce, Julien DeRouck, Leopoldo Franco, Andreas Kortenhaus, Tim Pullen, Holger Schüttrumpf, Peter Troch, Barbara Zanuttigh

Contents Tolerable wave overtopping Formulae: approaches Wave run-up on steep slopes Wave overtopping Slopes Vertical structures Very steep slopes

Tolerable wave overtopping Limits for: Structural design of breakwaters, seawalls, dikes and dams Property behind the defence People and vehicles

Influence of wave height on same discharge A small wave height gives many but small overtopping wave volumes. A large wave height gives a few but very large overtopping wave volumes. Video

5 l/s per m for Hm0 = 1 m; Nw = 1079; Now = 234 Movie on: www.overtopping-manual.com or: www.vdm-c.nl

Limits for structural damage

Limits for property behind structure

Limits for people and vehicles

Shape parameter in Weibull distribution EurOtop (2007): b = 0.75

Different approach of formulae in EurOtop (2016) Mean value approach. Use the formula as given with the mean value of the stochastic parameter(s). This should be done to predict or compare with test data. Model factor m (often a coefficient) is given with σ(m). In EurOtop (2007) probabilistic design; Design or safety assessment approach. This is an easy semi-probabilistic approach (partial safety factor); this is the mean value approach above, but now with the inclusion of the uncertainty of the prediction: m = μ(m) + σ(m); In EurOtop (2007) deterministic design; Probabilistic approach. Consider the stochastic parameter(s) with their given standard deviation and assuming a normal or log-normal distribution; The 5%-exceedance lines, or 90%-confidence band, can be calculated by using μ(m) ± 1.64σ(m) for the stochastic parameter(s).

Different approaches

Wave run-up on steep slopes (new)

Wave run-up on steep slopes (new) Very shallow foreshores What about very steep slopes? Use new overtopping formulae.

From slopes to vertical; various cotα; sm-1,0=0.04

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

cotα = 10; 6; 4; 3; 2; 1.5; 1.0; 0.5; 0.33; 0.25

Influence of slope angle for overtopping

Wave run-up for very steep slopes

Overtopping over sloping structures Slopes: up to zero freeboard Maximum

More insight in overtopping formulae Vertical walls: three situations No h* Allsop et al., 1995 Franco et al., 1998

Vertical structures No influencing foreshore: Influencing foreshore, non-impulsive: Influencing foreshore, impulsive: valid for 0 < Rc/Hm0 < 1.35 valid for Rc/Hm0  1.35

Thank you!