Abstract

This paper establishes a computationally efficient model to predict flood gate vibrations due to wave impacts including fluid–structure interaction. In contrast to earlier models, composite fluid domains are included to represent the situation of a flood gate in a dewatering sluice with the presence of an overhang that causes the confined-wave impacts. The dynamic response of the gate-fluid system is derived in the frequency domain using a substructuring mode matching technique, in which the gate vibrations are first expressed in terms of in-vacuo modes while the liquid motion is described as a superposition of linear potentials. Pressure impulse theory is employed to predict the impulsive wave impact loads, which are superposed on the quasi-steady wave loads. The computational efficiency of the developed model allows for a large number of simulations. This makes it possible for the first time to perform probabilistic evaluations for this type of problems without doing concessions on the accuracy of the physical modelling of the involved fluid–structure interaction processes. This is demonstrated by application of the developed models within a probabilistic framework resulting in the explicit quantification of the failure probability of flood gates subjected to wave impacts.

Highlights

  • Flood gates form an essential part of flood defence systems in coastal areas as they regulate the discharge between water bodies and prevent flooding of the hinterland during storm events

  • The dynamic response of the gate-fluid system is derived in the frequency domain using a substructuring mode matching technique, in which the gate vibrations are first expressed in terms of in-vacuo modes while the liquid motion is described as a superposition of linear potentials

  • The situation of impact loads on an overhanging structure in front of the gate is considered, which can for example be the case with culverts or bridge decks on top of discharge sluices

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Summary

Introduction

Flood gates form an essential part of flood defence systems in coastal areas as they regulate the discharge between water bodies and prevent flooding of the hinterland during storm events. For a finite element model the time-domain computational task required for a probabilistic evaluation of the dynamic behaviour of a flood gate would be almost an impossible mission given the large number of required simulations (Zheng et al, 2020). The presented method solves the involved fluid–structure interaction in a computationally efficient manner allowing to perform probabilistic evaluations, which is not feasible when applying time-domain finite element methods This is the first novel contribution of this paper. A probabilistic approach is presented making use of the developed models for the situation of a flood gate subjected to wave impacts due to the presence of an overhang. A Monte Carlo type analysis is performed simulating a large number of storms Within this approach, the dynamic response of the flood gate is predicted for the consecutive wave impact loads within each storm.

Overview of the model approach
Semi-analytical gate-fluid response model
Description of the fluid–structure response problem
Governing equations
Modal decomposition of the fields
Solution to the coupled problem
Validation and performance of the solution
Statistical approach for wave impact loads
Design wave spectrum
Wave impact loads
Probabilistic approach for wave impacts on a flood gate
Case study afsluitdijk
Gate-fluid system
Design storm
Response of the gate to several waves
Probability of failure of the system
Accuracy of the Monte Carlo simulation
Findings
Conclusion
Full Text
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