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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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Hosseinimehr, S.M. (author), Piguave Tomala, J.P. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)We develop projection-based embedded discrete fracture model (pEDFM) on corner-point grids (CPG) for fluid flow and heat transfer in subsurface geological formations. The coupling between the flow and heat transfer is fully-implicit, to allow for stable simulations, specially in presence of highly contrasting fractures. We define independent CPG...conference paper 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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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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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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Vuik, V. (author)Flood risk reduction in coastal areas is traditionally approached from a conventional engineering perspective, where dikes and dams are built to withstand the forces of tides, surges and waves. Recently, a nature-based approach to flood risk reduction is increasingly promoted, in which the benefits of coastal ecosystems for reducing the impact...doctoral thesis 2019
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Markensteijn, A.S. (author), Vuik, Cornelis (author)The coupling of single-carrier network into multicarrier energy systems (MES) has recently become more important. Conventional single-carrier steady-state load flow models are not able to capture the full extent of the coupling. Different models for multi-carrier networks have been proposed, either based on the energy hub concept or using a...conference paper 2019
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Sereeter, B. (author), Vuik, Cornelis (author), Witteveen, C. (author), Palensky, P. (author)In this paper, we study four equivalent mathematical formulations of the Optimal Power Flow (OPF) problem and their impacts on the performance of solution methods. We show how four mathematical formulations of the OPF problem can be obtained by rewriting equality constraints given as the power flow problem into four equivalent mathematical...conference paper 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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Hosseinimehr, S.M. (author), Arbarim, Rhadityo (author), Cusini, M. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)A dynamic multilevel method for fully-coupled simulation of flow and heat transfer in heterogeneous and fractured geothermal reservoirs is presented (FG-ADM). The FG-ADM develops an advanced simulation method which maintains its efficiency when scaled up to field-scale applications, at the same time, it remains accurate in presence of complex...conference paper 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
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Möller, M. (author), Vuik, Cornelis (author)The development of practical quantum computers that can be used to solve real-world problems is in full swing driven by the ambitious expectation that quantum supremacy will be able to outperform classical super-computers. Like with any emerging compute technology, it needs early adopters in the scientific computing community to identify...journal article 2019
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Vuik, V. (author), Jonkman, Sebastiaan N. (author), Willemsen, Pim W.J.M. (author), Borsje, Bas W. (author), Janssen, S.K.H. (author), Hermans, L.M. (author), Bouma, Tjeerd J. (author)In Nederland zijn honderden kilometers aan waterkering toe aan versterking. De aanleg van begroeide vooroevers, zoals schorren en kwelders, is een mogelijkheid om de belasting op dijken te verminderen. Daarmee dalen overstromingsrisico’s en gaan natuurwaarden omhoog.journal article 2019
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Tran, Quoc-Anh (author), Wobbes, Elizaveta (author), Sołowski, Wojciech (author), Möller, M. (author), Vuik, Cornelis (author)The paper shows a moving least squares reconstruction technique applied to the B-spline Material Point Method (B-spline MPM). It has been shown previously that B-spline MPM can reduce grid-crossing errors inherent in the original Material Point Method. However, in the large deformation regime where the gridcrossing occurs more frequently, the...conference paper 2019
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)The Material Point Method (MPM) has been applied successfully to problems in engineering which involve large deformations and history-dependent material behavior. However, the classical method suffers from some shortcomings which influence the quality of the numerical solution significantly. High-order B-spline basis functions solve the problem...conference paper 2019
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Wobbes, Elizaveta (author), Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author), Galavi, Vahid (author)Both the Material Point Method (MPM) and meshfree schemes based on optimal transport theory have been developed for efficient and robust integration of the weak form equations originating from computational mechanics. Although the methods are derived in a different fashion, their algorithms share many similarities. In this paper, we outline the...conference paper 2019
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- Wobbes, Elizaveta (author), Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author), Galavi, Vahid (author) book chapter 2019