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El Abbassi, M. (author), Lahaye, D.J.P. (author), Vuik, Cornelis (author)One of the quickest ways to influence both the wall temperature and thermal NOx emissions in rotary kilns is to change the air–fuel ratio (AFR). The normalized counterpart of the AFR, the equivalence ratio, is usually associated with premixed flames and studies of its influence on diffusion flames are inconsistent, depending on the application....journal article 2021
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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 flow (LF) equations are used within optimization to determine if physical network limits are violated. Due to nonlinearities, the solvability of the OF problem and the convergence of the...journal article 2021
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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. It is difficult to find the optimal operating conditions that minimize NOx formation in the...journal article 2021
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Markensteijn, A.S. (author), Romate, J.E. (author), Vuik, Cornelis (author)Coupling single-carrier networks into multi-carrier energy systems (MESs) has recently become more important. Conventional load flow models for the separate single-carrier networks are not able to capture the full extend of the coupling. Recently, different models for multi-carrier energy networks have been proposed, either using the energy...journal article 2020
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He, Xin (author), Vuik, Cornelis (author)This paper introduces three new Schur complement approximations for the augmented Lagrangian preconditioner. The incompressible Navier-Stokes equations discretized by a stabilized finite element method are utilized to evaluate these new approximations of the Schur complement. A wide range of numerical experiments in the laminar context...journal article 2020
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Zhu, Zhenchang (author), Vuik, V. (author), Visser, P.J. (author), Soens, Tim (author), van Wesenbeeck, B (author), van de Koppel, Johan (author), Jonkman, Sebastiaan N. (author), Temmerman, Stijn (author), Bouma, T.J. (author)Global change amplifies coastal flood risks and motivates a paradigm shift towards nature-based coastal defence, where engineered structures are supplemented with coastal wetlands such as saltmarshes. Although experiments and models indicate that such natural defences can attenuate storm waves, there is still limited field evidence on how...journal article 2020
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Willemsen, Pim W.J.M. (author), Borsje, Bas W. (author), Vuik, V. (author), Bouma, Tjeerd J. (author), Hulscher, Suzanne J.M.H. (author)Foreshores consisting of both bare tidal flats and vegetated salt marshes are found worldwide and they are well studied for their wave attenuating capacity. However, most studies only focus on the small scale: just some isolated locations in space and only up to several years in time. In order to stimulate the implementation of foreshores...journal article 2020
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Lukyanov, A. (author), Vuik, Cornelis (author)Smoothed particle hydrodynamics (SPH) has been extensively used to model high and low Reynolds number flows, free surface flows and collapse of dams, study pore-scale flow and dispersion, elasticity, and thermal problems. In different applications, it is required to have a stable and accurate discretization of the elliptic operator with...journal article 2020
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Wobbes, Elizaveta (author), Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)Both the material-point method (MPM) and optimal transportation meshfree (OTM) method have been developed to efficiently solve partial differential equations that are based on the conservation laws from continuum mechanics. However, the methods are derived in a different fashion and have been studied independently of one another. In this...journal article 2020
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Hosseinimehr, S.M. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)An algebraic dynamic multilevel (ADM) method for fully-coupled simulation of flow and heat transport in heterogeneous fractured geothermal reservoirs is presented. Fractures are modeled explicitly using the projection-based embedded discrete method (pEDFM), which accurately represents fractures with generic conductivity values, from barriers to...journal article 2020
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Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorporating deation techniques for accelerating the convergence of Krylov subpsace methods. The requisite for these efforts lies in the fact that the widely used and well-acknowledged complex shifted Laplacian preconditioner (CSLP) shifts the...journal article 2020
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Nakate, P.A. (author), Lahaye, D.J.P. (author), Vuik, Cornelis (author), Talice, Marco (author)The emissions from the industrial furnaces impact the environment. Among the various factories, those having anode baking furnaces are working on reducing the pollutant emissions. The aerodynamics in the furnace influences the emissions due to the high dependence of combustion and radiation phenomena on the mixing characteristics. Therefore,...journal article 2020
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Tielen, R.P.W.M. (author), Möller, M. (author), Göddeke, D. (author), Vuik, Cornelis (author)Over the years, Isogeometric Analysis has shown to be a successful alternative to the Finite Element Method (FEM). However, solving the resulting linear systems of equations efficiently remains a challenging task. In this paper, we consider a p-multigrid method, in which coarsening is applied in the spline degree p instead of the mesh width h...journal article 2020
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Horníková, Hana (author), Vuik, Cornelis (author), Egermaier, Jiří (author)We deal with numerical solution of the incompressible Navier–Stokes equations discretized using the isogeometric analysis (IgA) approach. Similarly to finite elements, the discretization leads to sparse nonsymmetric saddle-point linear systems. The IgA discretization basis has several specific properties different from standard FEM basis,...journal article 2020
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Vuik, V. (author), Borsje, Bas W. (author), Willemsen, Pim W.J.M. (author), Jonkman, Sebastiaan N. (author)Flood risks are increasing worldwide due to climate change and ongoing economic and demographic development in coastal areas. Salt marshes can function as vegetated foreshores that reduce wave loads on coastal structures such as dikes and dams, thereby mitigating current and future flood risk. This paper aims to quantify long-term (100 years)...journal article 2019
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Singh, Mehakpreet (author), Vuik, Cornelis (author), Kaur, Gurmeet (author), Bart, Hans Jörg (author)This work is concerned with the assessment of the various discretizations used to obtain the numerical solutions of the bivariate aggregation population balance equation. It was illustrated in the literature that the accuracy and the efficiency of the numerical approximations is majorly controlled by the directionality and orientation of the...journal article 2019
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Wobbes, Elizaveta (author), Möller, M. (author), Galavi, Vahid (author), Vuik, Cornelis (author)Within the standard material point method (MPM), the spatial errors are partially caused by the direct mapping of material-point data to the background grid. In order to reduce these errors, we introduced a novel technique that combines the least squares method with the Taylor basis functions, called the Taylor least squares (TLS), to...journal article 2019
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Sereeter, B. (author), Vuik, Cornelis (author), Witteveen, C. (author)A general framework is given for applying the Newton–Raphson method to solve power flow problems, using power and current-mismatch functions in polar, Cartesian coordinates and complex form. These two mismatch functions and three coordinates, result in six possible ways to apply the Newton–Raphson method for the solution of power flow...journal article 2019
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Li, Xiaozhou (author), Ryan, J.K. (author), Kirby, Robert M. (author), Vuik, Cornelis (author)Smoothness-increasing accuracy-conserving (SIAC) filtering is an area of increasing interest because it can extract the “hidden accuracy” in discontinuous Galerkin (DG) solutions. It has been shown that by applying a SIAC filter to a DG solution, the accuracy order of the DG solution improves from order k+ 1 to order 2 k+ 1 for linear...journal article 2019
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Vandenplas, Jeremie (author), Calus, Mario P.L. (author), Eding, Herwin (author), Vuik, Cornelis (author)Background<br/>The preconditioned conjugate gradient (PCG) method is an iterative solver of linear equations systems commonly used in animal breeding. However, the PCG method has been shown to encounter convergence issues when applied to single-step single nucleotide polymorphism BLUP (ssSNPBLUP) models. Recently, we proposed a deflated PCG ...journal article 2019