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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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Linear power flow method improved with numerical analysis techniques applied to a very large networkSereeter, B. (author), van Westering, W.H.P. (author), Vuik, Cornelis (author), Witteveen, C. (author)In this paper, we propose a fast linear power flow method using a constant impedance load model to simulate both the entire Low Voltage (LV) and Medium Voltage (MV) networks in a single simulation. Accuracy and efficiency of this linear approach are validated by comparing it with the Newton power flow algorithm and a commercial network design...journal article 2019
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Vuik, A. (author), Nijholt, B. (author), Akhmerov, A.R. (author), Wimmer, M.T. (author)Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias conductance features in a topologically trivial phase, mimicking spatially separated topological Majorana...journal article 2019
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Lahaye, D.J.P. (author), Vuik, Cornelis (author)The load flow equations express the balance of power in an electrical power system. The power generated must equal the power consumed. In the AC time-harmonic case, the load flow equations are non-linear in the voltage phasors associated with the nodes in the network. The development of future power systems urgently requires new, highly...book chapter 2019
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Vuik, A. (author)Nowadays, quantum computers, a promising direction of computer hardware development, suffer too much from errors caused by disturbance of qubits to compete with the state-of-the-art classical computers. Topological phases in condensed matter physics offer a solution: the topological edge states emerging in such a phase are spatially separated by...doctoral thesis 2018
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Vuik, V. (author), van Vuren, S. (author), Borsje, Bas W. (author), van Wesenbeeck, B (author), Jonkman, Sebastiaan N. (author)Vegetated foreshores adjacent to engineered structures (so-called hybrid flood defenses), are considered to have high potential in reducing flood risk, even in the face of sea level rise and increasing storminess. However, foreshores such as salt marshes and mangrove forests are generally characterized by relatively strong temporal and...journal article 2018
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Diaz Cortes, G.B. (author), Vuik, Cornelis (author), Jansen, J.D. (author)We study fast and robust iterative solvers for large systems of linear equations resulting from simulation of flow trough strongly heterogeneous porous media. We propose the use of preconditioning and deflation techniques, based on information obtained frfrom the system, to reduce the time spent in the solution of the linear system.An important...journal article 2018
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Vuik, V. (author), Suh Heo, H.Y. (author), Zhu, Zhenchang (author), Borsje, Bas W. (author), Jonkman, Sebastiaan N. (author)One of the services provided by coastal ecosystems is wave attenuation by vegetation, and subsequent reduction of wave loads on flood defense structures. Therefore, stability of vegetation under wave forcing is an important factor to consider. This paper presents a model which determines the wave load that plant stems can withstand before...journal article 2018
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El Abbassi, M. (author), Dimas Ramadhan Abdillah Fikri, Dimas (author), Lahaye, D.J.P. (author), Vuik, Cornelis (author)The wish to reduce the environmental footprint and to enhance economic gains of rotary kilns pushes the numerical simulation of combustion to include conjugate heat transfer. In this paper we study the influence of the refractory wall and radiative heat loss to the ambient, on the combustion process of a reference kiln model. Numerical results...conference paper 2018
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)Introduced in [1], Isogeometric Analysis (IgA) has become widely accepted in academia and industry. However, solving the resulting linear systems remains a challenging task. For instance, the condition number of the Poisson operator scales quadratically with the mesh width h, but, in contrast to standard Finite Elements, exponentially with the...conference paper 2018
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Vuik, Cornelis (author)In these lecture notes an introduction to Krylov subspace solvers and preconditioners is presented. After a discretization of partial differential equations large, sparse systems of linear equations have to be solved. Fast solution of these systems is very urgent nowadays. The size of the problems can be 1013 unknowns and 1013 equations....journal article 2018
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Gaiko, V. (author), Vuik, Cornelis (author), Reijm, Huibert A.J. (author)In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcation analysis. To control the global bifurcations of limit cycle in this systems, it is necessary to know the properties and combine the effects of all its field rotation parameters. It can be done by means of the development of our...journal article 2018
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Qiu, Y. (author), van Gijzen, M.B. (author), van Wingerden, J.W. (author), Verhaegen, M.H.G. (author), Vuik, Cornelis (author)This paper studies a new preconditioning technique for sparse systems arising from discretized partial differential equations in computational fluid dynamics problems. This preconditioning technique exploits the multilevel sequentially semiseparable (MSSS) structure of the system matrix. MSSS matrix computations give a data-sparse way to...journal article 2018
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Brunner, A.E. (author), de Visser, C.C. (author), Vuik, Cornelis (author), Verhaegen, M.H.G. (author)This paper presents an adaptation of the distributed-spline-based aberration reconstruction method for Shack–Hartmann (SH) slope measurements to extremely large-scale adaptive optics systems and the execution on graphics processing units (GPUs). The introduction of a hierarchical multi-level scheme for the elimination of piston offsets between...journal article 2018
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He, X. (author), Vuik, Cornelis (author), Klaij, Christiaan M. (author)The augmented Lagrangian (AL) preconditioner and its variant have been successfully applied to solve saddle point systems arising from the incompressible Navier-Stokes equations discretized by the finite element method. Attractive features are the purely algebraic construction and robustness with respect to the Reynolds number and mesh renement....journal article 2018
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Hosseinimehr, S.M. (author), Cusini, M. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)We present an algebraic dynamic multilevel method for multiphase flow in heterogeneous fractured porous media (F-ADM), where fractures are resolved at fine scale with an embedded discrete modelling approach. This fine-scale discrete system employs independent fine-scale computational grids for heterogeneous matrix and discrete fractures,...journal article 2018
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Vandenplas, Jérémie (author), Eding, Herwin (author), Calus, Mario P.L. (author), Vuik, Cornelis (author)Background:<br/>The single-step single nucleotide polymorphism best linear unbiased prediction (ssSNPBLUP) method, such as single-step genomic BLUP (ssGBLUP), simultaneously analyses phenotypic, pedigree, and genomic informa-<br/>tion of genotyped and non-genotyped animals. In contrast to ssGBLUP, SNP effects are fitted explicitly as random...journal article 2018