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Chen, J. (author), Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)We present a matrix-free parallel iterative solver for the Helmholtz equation related to applications in seismic problems and study its parallel performance. We apply Krylov subspace methods, GMRES, Bi-CGSTAB and IDR(s), to solve the linear system obtained from a second-order finite difference discretization. The Complex Shifted Laplace...conference paper 2024
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Zhang, Z. (author), Wang, Y. (author), Vuik, Cornelis (author), Hajibeygi, H. (author)We present an efficient compositional framework for simulation of CO2 storage in saline aquifers with complex geological geometries during a lifelong injection and migration process. To improve the computation efficiency, the general framework considers the essential hydrodynamic physics, including hysteresis, dissolution and capillarity, by...conference paper 2023
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- Danczul, Tobias (author), Hetebrij, Wouter (author), Khalighi, Faeze (author), Kogler, Lukas (author), Lahaye, D.J.P. (author), Luckins, Ellen (author), Munters, Wim (author), Neunteufel, Michael (author), Vuik, Cornelis (author) conference paper 2022
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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
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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
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Kootte, M.E. (author), Vuik, Cornelis (author)An integrated network consists of a transmission network and at least one distribution network which are connected to each other via a substation. One way to do power flow simulations on these integrated networks is the Master-Slave splitting method. This method splits the integrated network and iterates between the separate transmission (the...conference paper 2021
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)Isogeometric Analysis (IgA) can be considered as the natural extension of the Finite Element Method (FEM) to high-order B-spline basis functions. The development of efficient solvers for discretizations arising in IgA is a challenging task, as most (standard) iterative solvers have a detoriating performance for increasing values of the...conference paper 2021
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Hinz, J.P. (author), Möller, M. (author), Vuik, Cornelis (author)The first step towards applying isogeometric analysis techniques to solve PDE problems on a given domain consists in generating an analysis-suitable mapping operator between parametric and physical domains with one or several patches from no more than a description of the boundary contours of the physical domain. A subclass of the multitude of...conference paper 2021
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Euser, R. (author), Vuik, Cornelis (author)In this study a new type of non-reflective boundary condition (NRBC) for the Lattice Boltzmann Method (LBM) is proposed; the Non-equilibrium Symmetry Boundary Condition (NSBC). The idea behind this boundary condition is to utilize the characteristics of the non-equilibrium distribution function to assign values to the incoming populations. A...conference paper 2021
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Tielen, R.P.W.M. (author), Möller, M. (author), Vuik, Cornelis (author)Isogeometric Analysis can be considered as the natural extension of the Finite Element Method (FEM) to higher-order spline based discretizations simplifying the treatment of complex geometries with curved boundaries. Finding a solution of the resulting linear systems of equations efficiently remains, however, a challenging task. Recently, p...conference paper 2021
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Horníková, Hana (author), Vuik, Cornelis (author)We deal with efficient techniques for numerical simulation of the incompressible fluid flow based on the Navier–Stokes equations discretized using the isogeometric analysis approach. Typically, the most time-consuming part of the simulation is solving the large saddle-point type linear systems arising from the discretization. These systems can...conference paper 2021
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Markensteijn, A.S. (author), Romate, J.E. (author), Vuik, Cornelis (author)Coupling single-carrier networks (SCNs) into multi-carrier energy systems (MESs) has recently become more important. Steady-state load flow analysis of energy systems leads to a system of nonlinear equations, which is usually solved using the Newton-Raphson method (NR). Due to various physical scales within a SCN, and between different SCNs...conference paper 2021
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El Abbassi, M. (author), Lahaye, D.J.P. (author), Vuik, Cornelis (author)This paper verifies a mathematical model that is developed for the open source CFD-toolbox OpenFOAM, which couples turbulent combustion with conjugate heat transfer. This feature already exists in well-known commercial codes. It permits the prediction of the flame’s characteristics, its emissions, and the consequent heat transfer between...conference paper 2021
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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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Markensteijn, A.S. (author), Vuik, Cornelis (author)Coupling single-carrier networks into multi-carrier energy systems (MESs) has recently become more important. Various formulations of the single-carrier load flow problem (LFP) are used. Moreover, different coupling models lead to different integrated systems of equations for the LFP of MESs. Both could affect the convergence of the Newton...conference paper 2020
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Wobbes, E. D. (author), Möller, M. (author), Galavi, V. (author), Vuik, Cornelis (author)The material point method (MPM) is an effective computational tool for simulating problems involving large deformations. However, its direct mapping of the material-point data to the background grid frequently leads to severe inaccuracies. The standard function reconstruction techniques can considerably decrease these errors, but do not...conference paper 2020
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Hinz, J.P. (author), Möller, M. (author), Vuik, Cornelis (author)Isogeometric Analysis (IgA) has become an accepted framework for the mod-elling, simulation and optimization (MSO) of engineering processes. However, the fully automatized generation of analysis-suitable parameterizations of geometries as they arise in practical workflows is still a challenging task, which often requires application-specific...conference paper 2020
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Kootte, M.E. (author), Sereeter, B. (author), Vuik, Cornelis (author)Steady-state power flow models are essential for daily operation of the electricity grid. The changing electrical environment requires a shift from separated power flow models to integrated transmission-distribution power flow models. Integrated models incorporate the coupling of the networks and the interaction that they have on each other,...conference paper 2020
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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