An ENO-based method for second-order equations and application to the control of dike levels

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...

An ENO-Based method for second-order equations and application to the control of dike levels

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...

Modeling of three-dimensional multi-phase flows with a mass-Conserving Level-Set method

In this work incompressible two-phase flows are considered. The aim is to model high density-ratio flows with arbitrary complex interface topologies, such as occur in air/water flows. Between the phases a sharp front exists, where density and viscosity change abruptly. The computational method used in this paper is the Mass Conserving Level-Set...

Computation of bubbly flows with a mass-conserving level-set method

The subject of this thesis is the computation of bubbly flows. Bubbly flows occur for example in chemical reactors, boiling, fuel injectors and coating. The bubbles and the surrounding fluid are modeled directly without phase averaging. This is the most fundamental approach of describing multi-phase flows. Every bubble is modeled in great detail...

A mass conserving level set (MCLS) method for modeling of multi-phase flows

The Mass-Conserving Level-Set (MCLS) method is proposed to model multi-phase flows. The aim is to model high density-ratio flows with complex interface topologies, such as mixtures of bubbles and droplets. Aspects which are taken into account are: a sharp front (density changes rapidly), arbitrary shaped interfaces, surface tension, buoyancy and...