- document
-
Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)Recent research efforts aimed at iteratively solving time-harmonic waves have focused on a broad range of techniques to accelerate convergence. In particular, for the famous Helmholtz equation, deflation techniques have been studied to accelerate the convergence of Krylov subspace methods. In this work, we extend the two-level deflation method...journal article 2022
- document
-
Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)Isogeometric Analysis (IgA) can be seen as the natural extension of the Finite Element Method (FEM) to high-order B-spline basis functions. Combined with a time inte- gration scheme within the method of lines, IgA has become a viable alternative to FEM for time-dependent problems. However, as processors' clock speeds are no longer increasing but...conference paper 2022
- document
-
Wang, Y. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)Natural or induced fractures are typically present in subsurface geological formations. Therefore, they need to be carefully studied for reliable estimation of the long-term carbon dioxide storage. Instinctively, flow-conductive fractures may undermine storage security as they increase the risk of CO2 leakage if they intersect the CO2 plume. In...journal article 2022
- document
-
Visser, L. R. (author), Kootte, M.E. (author), Ferreira, A. C. (author), Sicurani, O. (author), Pauwels, E. J. (author), Vuik, Cornelis (author), Van Sark, W. G.J.H.M. (author), AlSkaif, T. A. (author)Fluctuating electricity prices offer potential economic savings for the consumption of electricity by flexible assets such as Electric Vehicles (EVs). This study proposes an operational bidding framework that minimizes the charging costs of an EV fleet by submitting an optimized bid to the day-ahead electricity market. The framework consists...journal article 2022
- document
-
Wang, L. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)Simulation of fracture contact mechanics in deformable fractured media is of paramount important in computational mechanics. Previous studies have revealed that compressive loading may produce mode II fractures, which is quite different from mode I fractures induced by tensile loading. Furthermore, fractures can cross each other. This will...journal article 2022
- document
-
Wang, L. (author), Wang, Y. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)The past decades have witnessed an increasing interest in numerical simulation for flow in fractured porous media. To date, most studies have focused on 2D or pseudo-3D computational models, where the impact of 3D complex structures on seepage has not been fully addressed. This work presents a method for modeling seepage in 3D heterogeneous...journal article 2022
- document
-
Chen, K. (author), Vuik, Cornelis (author)In this article, we propose and analyze a set of fully nonstationary Anderson acceleration (AA) algorithms with two window sizes and optimized damping. Although AA has been used for decades to speed up nonlinear solvers in many applications, most authors are simply using and analyzing the stationary version of AA (sAA) with fixed window size...journal article 2022
- document
-
Lashley, Christopher H. (author), Jonkman, Sebastiaan N. (author), van der Meer, J.W. (author), Bricker, J.D. (author), Vuik, V. (author)Many coastlines around the world are protected by dikes with shallow foreshores (e.g. salt marshes and mudflats) that attenuate storm waves and are expected to reduce the likelihood and volume of waves overtopping the dikes behind them. However, most of the studies to date that assessed their effectiveness have excluded the influence of...journal article 2022
- document
-
Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)Since its introduction in [20], Isogeometric Analysis (IgA) has established itself as a viable alternative to the Finite Element Method (FEM). Solving the resulting linear systems of equations efficiently remains, however, challenging when high-order B-spline basis functions of order p> 1 are adopted for approximation. The use of...book chapter 2022
- document
-
Bootland, N. (author), Dwarka, V.N.S.R. (author), Jolivet, P. (author), Dolean, V. (author), Vuik, Cornelis (author)In recent years, domain decomposition based preconditioners have become popular tools to solve the Helmholtz equation. Notorious for causing a variety of convergence issues, the Helmholtz equation remains a challenging PDE to solve numerically. Even for simple model problems, the resulting linear system after discretisation becomes indefinite...conference paper 2022
- document
-
Lahaye, D.J.P. (author), Nakate, P.A. (author), Vuik, Cornelis (author), Juretic, F. (author), Talice, Marco (author)The operation of large industrial furnaces will continue to rely on hydrocarbon fuels in the near foreseeable future. Mathematical modeling and numerical simulation is expected to deliver key insights to implement measures to further reduce pollutant emissions. These measures include the design optimization of the burners, the dilution of...journal article 2022
- document
-
Wang, L. (author), Golfier, Fabrice (author), Tinet, Anne-Julie (author), Chen, Weizhong (author), Vuik, Cornelis (author)This work investigates numerical method and equivalent continuum approach (ECA) of fluid flow in fractured porous media. The commonly used discrete fracture model (DFM) without upscaling needs full discretization of all fractures. It enjoys the merit of capturing each fracture accurately but will get in trouble with mesh partition and low...journal article 2022
- document
-
Vakili, Seryas (author), Ebadi, G. (author), Vuik, Cornelis (author)In this article, a parameterized extended shift-splitting (PESS) method and its induced preconditioner are given for solving nonsingular and nonsymmetric saddle point problems with nonsymmetric positive definite (1,1) part. The convergence analysis of the (Formula presented.) iteration method is discussed. The distribution of eigenvalues of...journal article 2022
- document
-
Mi, Jie (author), Zhang, Min (author), Zhu, Zhenchang (author), Vuik, V. (author), Wen, Jiahong (author), Gao, Hongkai (author), Bouma, Tjeerd J. (author)The risk of coastal storm flooding is deteriorating under global warming, especially for the heavily urbanized deltaic cities, like Shanghai. The Nature-Based Flood Defense (NBFD), as an eco-friendly design alternative for hard infrastructure against coastal flooding, is gaining attention. Nevertheless, the vulnerability of saltmarsh due to...journal article 2022
- document
-
Kootte, M.E. (author), Vuik, Cornelis (author)Power system simulations should be adapted to be applicable to the trends that are currently evoked by the energy transition. This transition is pushing our power system from a traditional hierarchical system to a modern interactive system. In order to keep the supply and transport of energy safe and reliant, we need to change the way we perform...book chapter 2022
- document
-
Ascencio, Jaime A. (author), Jacobsen, Niels G. (author), McFall, Brian C. (author), Groeneweg, Jacco (author), Vuik, V. (author), Reniers, A.J.H.M. (author)To address the important research question of whether implicit (bottom friction) or explicit (stem drag) dissipation models are most appropriate for the prediction of wave attenuation due to aquatic vegetation, the Simulating Waves Nearshore (SWAN) spectral wave model has been extended with an explicit frequency-dependent dissipation model...journal article 2022
- document
-
Kootte, M.E. (author), Vuik, Cornelis (author)This paper compares and assesses several numerical methods that solve the steady-state power flow problem on integrated transmission-distribution networks. The integrated network model consists of a balanced transmission and an unbalanced distribution network. It is important to analyze these integrated electrical power systems due to the...journal article 2021
- document
-
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
- document
-
Sereeter, B. (author), Markensteijn, A.S. (author), Kootte, M.E. (author), Vuik, Cornelis (author)Power flow computations are important for operation and planning of the electricity grid, but are computationally expensive because of nonlinearities and the size of the system of equations. Linearized methods reduce computational time but often have the disadvantage that they are not applicable to general grids. In this paper we propose a novel...journal article 2021
- document
-
Vandenplas, Jérémie (author), Calus, Mario P.L. (author), Eding, Herwin (author), van Pelt, Mathijs (author), Bergsma, Rob (author), Vuik, Cornelis (author)Background<br/>The preconditioned conjugate gradient (PCG) method is the current method of choice for iterative solving of genetic evaluations. The relative difference between two successive iterates and the relative residual of the system of equations are usually chosen as a termination criterion for the PCG method in animal breeding. However,...journal article 2021