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Energy-stable discretization of the one-dimensional two-fluid model

Buist, J.F.H. (author), Sanderse, B. (author), Dubinkina, S. (author), Oosterlee, C. W. (author), Henkes, R.A.W.M. (author)

In this paper we present a complete framework for the energy-stable simulation of stratified incompressible flow in channels, using the one-dimensional two-fluid model. Building on earlier energy-conserving work on the basic two-fluid model, our new framework includes diffusion, friction, and surface tension. We show that surface tension can...

journal article 2024

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Dynamic wind farm flow control using free-vortex wake models

van den Broek, M.J. (author), Becker, M. (author), Sanderse, Benjamin (author), van Wingerden, J.W. (author)

A novel dynamic economic model-predictive control strategy is presented that improves wind farm power production and reduces the additional demands of wake steering on yaw actuation when compared to an industry state-of-the-art reference controller. The novel controller takes a distributed approach to yaw control optimisation using a free-vortex...

journal article 2024

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An analytical flow-by capacitive deionization model

Haverkort, J.W. (author), Sanderse, B. (author), Padding, J.T. (author), Blake, J.W. (author)

In flow-by capacitive deionization (CDI) brackish water flows between two electrodes that capacitively remove salt. We assume low inlet concentrations so “salt shocks” appear in the electrodes and the process becomes diffusion-limited. For unit charge efficiency, a simplified model is derived consisting of two coupled partial differential...

journal article 2024

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Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations

Klein, R.B. (author), Sanderse, B. (author)

A novel hyper-reduction method is proposed that conserves kinetic energy and momentum for reduced order models of the incompressible Navier-Stokes equations. The main advantage of conservation of kinetic energy is that it endows the hyper-reduced order model (hROM) with a nonlinear stability property. The new method poses the discrete...

journal article 2024

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Free-vortex models for wind turbine wakes under yaw misalignment: a validation study on far-wake effects

van den Broek, M.J. (author), De Tavernier, D. (author), Hulsman, Paul (author), van der Hoek, D.C. (author), Sanderse, Benjamin (author), van Wingerden, J.W. (author)

Near-wake effects of wind turbine models using the free-vortex wake have been studied extensively, but there is a lack of validation for such predictions in the mid to far wake. This paper presents a novel validation study using three free-vortex wake models of increasing complexity: an actuator disc, an actuator disc with rotation, and a...

journal article 2023

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Optimal Control for Wind Turbine Wake Mixing on Floating Platforms

van den Broek, M.J. (author), van den Berg, D.G. (author), Sanderse, Benjamin (author), van Wingerden, J.W. (author)

Dynamic induction control is a wind farm flow control strategy that utilises wind turbine thrust variations to accelerate breakdown of the aerodynamic wake and improve downstream turbine performance. However, when floating wind turbines are considered, additional dynamics and challenges appear that make optimal control difficult. In this work...

journal article 2023

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Energy-consistent formulation of the pressure-free two-fluid model

Buist, J.F.H. (author), Sanderse, Benjamin (author), Dubinkina, Svetlana (author), Oosterlee, C.W. (author), Henkes, R.A.W.M. (author)

The pressure-free two-fluid model (PFTFM) is a recent reformulation of the one-dimensional two-fluid model (TFM) for stratified incompressible flow in ducts (including pipes and channels), in which the pressure is eliminated through intricate use of the volume constraint. The disadvantage of the PFTFM was that the volumetric flow rate had to...

journal article 2023

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Flow Modelling for Wind Farm Control: 2D vs. 3D

van den Broek, M.J. (author), Sanderse, Benjamin (author), van Wingerden, J.W. (author)

Control-oriented models provide a basis for wind farm control to improve power production and reduce structural loading. Wake steering is considered to be one of the most promising techniques to achieve this. Wind turbine wakes under yaw misalignment are deflected downstream and have been shown to produce a curled or kidney-shaped structure....

journal article 2022

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Sensitivity analysis and Bayesian calibration of a dynamic wind farm control model: FLORIDyn

Dighe, V.V. (author), Becker, M. (author), Göcmen, Tuhfe (author), Sanderse, Benjamin (author), van Wingerden, J.W. (author)

FLORIDyn is a parametric control-oriented dynamic model suitable to predict the dynamic wake interactions between wind turbines in a wind farm. In order to improve the accuracy of FLORIDyn, this study proposes to calibrate the tuning parameters present in the model by employing a probabilistic setting using the UQ4WIND framework. The strategy...

journal article 2022

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Efficient Bayesian calibration of aerodynamic wind turbine models using surrogate modeling

Sanderse, Benjamin (author), Dighe, V.V. (author), Boorsma, Koen (author), Schepers, Gerard (author)

This paper presents an efficient strategy for the Bayesian calibration of parameters of aerodynamic wind turbine models. The strategy relies on constructing a surrogate model (based on adaptive polynomial chaos expansions), which is used to perform both parameter selection using global sensitivity analysis and parameter calibration with Bayesian...

journal article 2022

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Adjoint optimisation for wind farm flow control with a free-vortex wake model

van den Broek, M.J. (author), De Tavernier, D. (author), Sanderse, Benjamin (author), van Wingerden, J.W. (author)

Wind farm flow control aims to improve wind turbine performance by reducing aerodynamic wake interaction between turbines. Dynamic, physics-based models of wind farm flows have been essential for exploring control strategies such as wake redirection and dynamic induction control. Free-vortex methods can provide a computationally efficient way...

journal article 2022

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A novel pressure-free two-fluid model for one-dimensional incompressible multiphase flow

Sanderse, B. (author), Buist, J.F.H. (author), Henkes, R.A.W.M. (author)

A novel pressure-free two-fluid model formulation is proposed for the simulation of one-dimensional incompressible multiphase flow in pipelines and channels. The model is obtained by simultaneously eliminating the volume constraint and the pressure from the widely used two-fluid model (TFM). The resulting ‘pressure-free two-fluid model’ (PF...

journal article 2021

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A geometrical interpretation of the addition of nodes to an interpolatory quadrature rule while preserving positive weights

van den Bos, L.M.M. (author), Sanderse, B. (author)

A novel mathematical framework is derived for the addition of nodes to univariate and interpolatory quadrature rules. The framework is based on the geometrical interpretation of the Vandermonde matrix describing the relation between the nodes and the weights and can be used to determine all nodes that can be added to an interpolatory...

journal article 2021

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Fatigue design load calculations of the offshore NREL 5 MW benchmark turbine using quadrature rule techniques

van den Bos, L.M.M. (author), Bierbooms, W.A.A.M. (author), Alexandre, Armando (author), Sanderse, Benjamin (author), van Bussel, G.J.W. (author)

A novel approach is proposed to reduce, compared with the conventional binning approach, the large number of aeroelastic code evaluations that are necessary to obtain equivalent loads acting on wind turbines. These loads describe the effect of long-term environmental variability on the fatigue loads of a horizontal-axis wind turbine. In...

journal article 2020

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Adaptive sampling-based quadrature rules for efficient Bayesian prediction

van den Bos, L.M.M. (author), Sanderse, B. (author), Bierbooms, W.A.A.M. (author)

A novel method is proposed to infer Bayesian predictions of computationally expensive models. The method is based on the construction of quadrature rules, which are well-suited for approximating the weighted integrals occurring in Bayesian prediction. The novel idea is to construct a sequence of nested quadrature rules with positive weights...

journal article 2020

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Generating nested quadrature rules with positive weights based on arbitrary sample sets

van den Bos, L.M.M. (author), Sanderse, Benjamin (author), Bierbooms, W.A.A.M. (author), van Bussel, G.J.W. (author)

For the purpose of uncertainty propagation a new quadrature rule technique is proposed that has positive weights, has high degree, and is constructed using only samples that describe the probability distribution of the uncertain parameters. Moreover, nodes can be added to the quadrature rule, resulting in a sequence of nested rules. The rule...

journal article 2020

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Bayesian model calibration with interpolating polynomials based on adaptively weighted leja nodes

van den Bos, L.M.M. (author), Sanderse, Benjamin (author), Bierbooms, W.A.A.M. (author), van Bussel, G.J.W. (author)

An efficient algorithm is proposed for Bayesian model calibration, which is commonly used to estimate the model parameters of non-linear, computationally expensive models using measurement data. The approach is based on Bayesian statistics: using a prior distribution and a likelihood, the posterior distribution is obtained through application...

journal article 2020

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Efficient ultimate load estimation for offshore wind turbines using interpolating surrogate models

van den Bos, L.M.M. (author), Sanderse, B. (author), Blonk, L. (author), Bierbooms, W.A.A.M. (author), van Bussel, G.J.W. (author)

During the design phase of an offshore wind turbine, it is required to assess the impact of loads on the turbine life time. Due to the varying environmental conditions, the effect of various uncertain parameters has to be studied to provide meaningful conclusions. Incorporating such uncertain parameters in this regard is often done by...

journal article 2018

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Efficient simulation of one-dimensional two-phase flow with a high-order h-adaptive space-time Discontinuous Galerkin method

van Zwieten, J.S.B. (author), Sanderse, B. (author), Hendrix, M.H.W. (author), Vuik, Cornelis (author), Henkes, R.A.W.M. (author)

One-dimensional models for multiphase flow in pipelines are commonly discretised using first-order Finite Volume (FV) schemes, often combined with implicit time-integration methods. While robust, these methods introduce much numerical diffusion depending on the number of grid points. In this paper we propose a high-order, space-time...

journal article 2017

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Efficient simulation of one-dimensional two-phase flow with a new high-order Discontinuous Galerkin method

Van Zwieten, J.S.B. (author), Sanderse, B. (author), Hendrix, M.H.V. (author), Vuik, C. (author), Henkes, R.A.W.M. (author)

One-dimensional models for multiphase flow in pipelines are commonly discretised using first-order Finite Volume (FV) schemes, often combined with implicit time-integration methods. While robust, these methods introduce much numerical diffusion depending on the number of grid points. In this paper we propose a high-order, space-time...

report 2015