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Nakate, P.A. (author), Lahaye, D.J.P. (author), Vuik, Cornelis (author)
Thermal nitric-oxide (NOx) formation in industrial furnaces due to local overheating is a  widely known problem. Various industries made significant investments to reduce thermal NOx by varying the operating conditions and designs of the furnace. Finding optimal operating conditions or design parameters by experimenting in...
report 2021
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Kootte, M.E. (author), Romate, J.E. (author), Vuik, Cornelis (author)
Power ow simulations form an essential tool for electricity network analysis but conventional models are designed to work on a separated transmission or distribution network only. The continuing growth of electricity consumption, demand side participation, and renewable resources makes the electricity net- works co-dependent...
report 2021
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Knipping, J. (author), Du Toit, Jacques (author), Vuik, Cornelis (author)
In the field of Scientific Computing there is a big focus on solving time dependent Partial Differential Equations (PDEs) as efficiently and fast as possible. In order to do so, the PDE is discretized and solved on a mesh at every time step. Adaptive mesh refinement is used to develop a mesh at every time step which is sparse and which results...
report 2020
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Vijai Kumar, S. (author), Vuik, Cornelis (author)
</p><p class="MsoNormal">Distance fields finds a lot of applications recently in computational geometry. We propose an algorithm to extract the mean camber line of an airfoil using distance fields. This method does not require computing any geometric approximations in- side the airfoil geometry. It also does not need the airfoil coordinates...
report 2020
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Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)
</p><p class="MsoNormal">Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorporating deflation techniques for accelerating the convergence of Krylov subspace methods. In this work, we extend the two-level deflation method in [6] to a multilevel deflation method. By using higher-order deflation...
report 2020
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Kootte, M.E. (author), Romate, J.E. (author), Vuik, Cornelis (author)
Electrical power systems are complex systems and traditionally modeled in two separate systems. Power is generated at the transmission system and at several substations converted to the distribution systems. The increasing amount of generation produced at distribution level can eventually effect the transmission network. An...
report 2020
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Markensteijn, A.S. (author), Romate, J.E. (author), Vuik, Cornelis (author)
Optimization is an important tool for the operation of an energy system. Multi-carrier energy systems (MESs) have recently become more important. Load ow (LF) equations are used within optimization to determine if physical network limits are violated. The way these LF equations are included in the optimal ow (OF) problem,...
report 2020
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Atsma, Michael (author), Vuik, Cornelis (author)
This report describes the research that started with the research of Floris Buwalda<br/>and continued with the work of Michaël Mersie. We will mostly work with Numerical<br/>Mathematics to find a function that expresses the power that needs to be delivered<br/>in terms of the ship’s desired speed in relation to the water. In order to keep up<br/...
report 2019
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Markensteijn, A.S. (author), Romate, J.E. (author), Vuik, Cornelis (author)
Energy systems are becoming more complex due to increased coupling between different networks, resulting in multi-carrier energy networks. Conventional models for the separate networks are not able to capture the full extent of the coupling. Recently, different models for multi-carrier networks have been proposed, either...
report 2019
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de Jong, M.A. (author), Vuik, Cornelis (author)
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report 2016
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Diaz Cortes, G.B. (author), Vuik, Cornelis (author), Jansen, J.D. (author)
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report 2016
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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
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J.W. (author), Verhaegen, M.H.G. (author), Vuik, C. (author)
In this manuscript, we study preconditioning techniques for optimal in-domain control of the Navier-Stokes equation, where the control only acts on a few parts of the domain. Optimization and linearization of the optimal in-domain control problem results in a generalized linear saddle-point system. The Schur complement for the generalized saddle...
report 2015
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Qiu, Y. (author), van Gijzen, M.B. (author), van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)
Multilevel sequentially semiseparable (MSSS) matrices form a class of structured matrices that have low-rank off-diagonal structure, which allows the matrix-matrix operations to be performed in linear computational complexity. MSSS preconditioners are computed by replacing the Schur complements in the block LU factorization of the global linear...
report 2015
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)
In this manuscript, we study preconditioning techniques for optimal in-domain control of the Navier-Stokes equation, where the control only acts on a few parts of the domain. Optimization and linearization of the optimal in-domain control problem results in a generalized linear saddle-point system. The Schur complement for the generalized saddle...
report 2015
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Tang, J.M. (author), Vuik, C. (author), Witteveen, C. (author)
In this report, the recent and future contributions of experts and groups of Delft University of Technology (DUT) on the topic of smart grids (SG) are presented. This may provide guidelines on how DUT can contribute in current and future SG projects, such as the current TKI project on “Smart Grid Evolution (SGE): Developing a service platform...
report 2014
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)
In this paper, we consider preconditioning for PDE-constrained optimization problems. The underlying problems yield a linear saddle-point system. We study a class of preconditioners based on multilevel sequentially semiseparable (MSSS) matrix computations. The novel global preconditioner is to make use of the global structure of the saddle-point...
report 2014
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De Ronde, J.G. (author), Baart, F. (author), Katsman, C.A. (author), Vuik, V. (author)
Voor het Nederlandse beleid van kustveiligheid en kustlijnhandhaving is een betrouwbare en robuuste schatting van de zeespiegelstijging belangrijk. Het voorliggende rapport beschrijft verschillende exercities die zijn gedaan om de zeespiegelstijging langs de Nederlandse kust met een hogere betrouwbaarheid vast te stellen ten opzichte van eerdere...
report 2014
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Vuik, K. (author), Daalderop, F. (author), Wilders, P. (author), Daudt, J. (author), Van Kints, R. (author), Koolstra, K. (author), Van den Oever, J. (author), Lobbezoo, B. (author)
This report gives an overview of the work done on MUMIE [2] at TU Delft for the academic year 2012 - 2013. Reports from previous years can be found on our relevant support website [3]. In October 2012 there was a kick-off meeting at TU Berlin regarding the S3M2 project [1]. During this meeting, every participant was assigned to develop material...
report 2013
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He, X. (author), Vuik, C. (author)
In this report we explore the performance of the SIMPLER , augmented Lagrangian, ’grad-div’ preconditioners and their variants for the two-by-two block systems arising in the incompressible Navier-Stokes equations. The lid-driven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem Reynolds number...
report 2013
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