This work aims to model the optimal control of dike heights. The control problem leads to so-called Hamilton-Jacobi-Bellman (HJB) variational inequalities, where the dike-increase and reinforcement times act as input quantities to the control problem. The HJB equations are solved numerically with an Essentially Non-Oscillatory (ENO) method. The ENO methodology is originally intended for hyperbo...

Dike height optimization is of major importance to the Netherlands since a large part of the country is below sea level and high water levels in rivers may cause floods. In this paper we propose a cost-benefit analysis to determine optimal dike heights. We improve the model proposed by Van Dantzig (1956) after a devastating flood in the Netherlands in 1953. For one important class of the dike i...

Statistical evaluation of historical dike failure mechanism The failure mechanism of flood protection dikes includes physical (geotechnical, seepage) processes leading to a dike breach. An awareness of the failure mechanism is required directly in dike stability calculations and indirectly for risk calculations. Statistics of historical data indicate among others the distribution and frequency ...

A methodology is presented for determining the probability of dikes failing due to uplifting and piping using directional sampling. The study concerns one dike section in the lower river area of The Netherlands. For this dike section, the three most important random quantities are: the North-Sea water level, the river Rhine discharge, and the critical head in the event of uplifting and piping. ...

Spur dike is one of the hydraulic structures used in rivers to protect river banks. In this paper, flow pattern around a T-shaped spur dike which is located in a 90◦ bend and different amounts of submersion has been studied using Flow-3D. Numerical results have been compared with experimental results and have been analysed.

This paper describes the DiKe model-based diagnosis framework, which incorporates multiple diagnosis engines, multiple user-level system description languages, a theorem prover, and a graphical user interface to provide an integrated toolset for the development of model-based diagnosis applications. The framework has been used for representing a number of application domains. We present the AD2...

Failure to consider the costs of adaptation strategies can be seen by decision makers as a barrier to implementing coastal protection measures. In order to validate adaptation strategies to sea-level rise in the form of coastal protection, a consistent and repeatable assessment of the costs is necessary. This paper significantly extends current knowledge on cost estimates by developing – and im...

Linear and arcuate rilles (simple graben) represent some of the most distinctive tectonic features on the Moon. They have been interpreted to be linked to impact basin structure (Mason et al., 1976), and to the emplacement of mare deposits in the basins via flexural deformation related to the mare deposit load (Solomon and Head, 1980). Linear rilles are generally thought to represent deformatio...