NDLI: Efficient uncertainty quantification of a fully nonlinear and dispersive water wave model with random inputs

Content Provider	Springer Nature Link
Author	Engsig Karup, Allan P. Eskilsson, Claes Bigoni, Daniele
Copyright Year	2016
Abstract	A major challenge in next-generation industrial applications is to improve numerical analysis by quantifying uncertainties in predictions. In this work we present a formulation of a fully nonlinear and dispersive potential flow water wave model with random inputs for the probabilistic description of the evolution of waves. The model is analyzed using random sampling techniques and nonintrusive methods based on generalized polynomial chaos (PC). These methods allow us to accurately and efficiently estimate the probability distribution of the solution and require only the computation of the solution at different points in the parameter space, allowing for the reuse of existing simulation software. The choice of the applied methods is driven by the number of uncertain input parameters and by the fact that finding the solution of the considered model is computationally intensive. We revisit experimental benchmarks often used for validation of deterministic water wave models. Based on numerical experiments and assumed uncertainties in boundary data, our analysis reveals that some of the known discrepancies from deterministic simulation in comparison with experimental measurements could be partially explained by the variability in the model input. Finally, we present a synthetic experiment studying the variance-based sensitivity of the wave load on an offshore structure to a number of input uncertainties. In the numerical examples presented the PC methods exhibit fast convergence, suggesting that the problem is amenable to analysis using such methods.
Ending Page	113
Page Count	27
Starting Page	87
File Format	PDF
ISSN	00220833
e-ISSN	15732703
Journal	Journal of Engineering Mathematics
Issue Number	1
Volume Number	101
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-04-05
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Free surface water waves Sensitivity analysis High-performance computing Analysis Classical Mechanics Generalized polynomial chaos Uncertainty quantification Applications of Mathematics Mathematical Modeling and Industrial Mathematics Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

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