Sensitivity approach for modelling stochastic Field of Keulegan Carpenter and Reynolds number through a matrix response surface
Résumé
The actual challenge for requalification of existing offshore structures through a rational process of reassessment leads to state the importance of Response Surface Methodology. At different steps along the quantitative analysis, quite a lot of approximations are performed as a surrogate for the original model in subsequent uncertainty and sensitivity studies. We propose a geometrical description of the $n$th order Stokes model in the form of a random linear combination of deterministic vectors. These vectors are obtained by rotation transformations of the wave directional vector. This allows discussing the complexity level to be introduced in stochastic modeling of the wave velocity and of Reynolds and Keulegan-Carpenter numbers, within its relevance for the probabilistic mechanics analysis of offshore structures. In situ measurements are used to perform ranges and distributions of basic variables. Statistics of hydrodynamics coefficients are analyzed.