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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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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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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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Knipping, J. (author), Du Toit, Jacques (author), Vuik, Cornelis (author)In the field of Scientific Computing there is a big focus on solving time dependent Partial Differential Equations (PDEs) as efficiently and fast as possible. In order to do so, the PDE is discretized and solved on a mesh at every time step. Adaptive mesh refinement is used to develop a mesh at every time step which is sparse and which results...report 2020
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Vijai Kumar, S. (author), Vuik, Cornelis (author)</p><p class="MsoNormal">Distance fields finds a lot of applications recently in computational geometry. We propose an algorithm to extract the mean camber line of an airfoil using distance fields. This method does not require computing any geometric approximations in- side the airfoil geometry. It also does not need the airfoil coordinates...report 2020
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Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)</p><p class="MsoNormal">Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorporating deflation techniques for accelerating the convergence of Krylov subspace methods. In this work, we extend the two-level deflation method in [6] to a multilevel deflation method. By using higher-order deflation...report 2020
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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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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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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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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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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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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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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