- document
-
Chen, Jinhai (author), Vuik, Cornelis (author)Large-scale systems of nonlinear equations appear in many applications. In various applications, the solution of the nonlinear equations should also be in a certain interval. A typical application is a discretized system of reaction diffusion equations. It is well known that chemical species should be positive otherwise the solution is not...journal article 2017
- document
-
Kammhuber, J. (author), Cassidy, M.C. (author), Pei, F. (author), Nowak, M.P. (author), Vuik, A. (author), Gül, Önder (author), Car, D. (author), Plissard, S.R. (author), Bakkers, E.P.A.M. (author), Wimmer, M.T. (author), Kouwenhoven, Leo P. (author)The motion of an electron and its spin are generally not coupled. However in a one-dimensional material with strong spin-orbit interaction (SOI) a helical state may emerge at finite magnetic fields, where electrons of opposite spin will have opposite momentum. The existence of this helical state has applications for spin filtering and cooper...journal article 2017
- document
-
van Zwieten, J.S.B. (author), Sanderse, B. (author), Hendrix, M.H.W. (author), Vuik, Cornelis (author), Henkes, R.A.W.M. (author)One-dimensional models for multiphase flow in pipelines are commonly discretised using first-order Finite Volume (FV) schemes, often combined with implicit time-integration methods. While robust, these methods introduce much numerical diffusion depending on the number of grid points. In this paper we propose a high-order, space-time...journal article 2017
- document
-
Aissa, M.H. (author), Verstraete, Tom (author), Vuik, Cornelis (author)A computational Fluid Dynamics (CFD) code for steady simulations solves a set of non-linear partial differential equations using an iterative time stepping process, which could follow an explicit or an implicit scheme. On the CPU, the difference between both time stepping methods with respect to stability and performance has been well covered in...journal article 2017
- document
-
Gaiko, V. (author), Ginoux, Jean-Marc (author), Vuik, Cornelis (author)We carry out the global bifurcation analysis of the Kukles system representing a planar polynomial dynamical system with arbitrary linear and cubic right-hand sides and having an anti-saddle at the origin. Using the <br/>Wintner–Perko termination principle of multiple limit cycles, we solve the problem on the maximum number and distribution of...journal article 2017
- document
-
Möller, M. (author), Vuik, Cornelis (author)Quantum computing technologies have become a hot topic in academia and industry receiving much attention and financial support from all sides. Building a quantum computer that can be used practically is in itself an outstanding challenge that has become the ‘new race to the moon’. Next to researchers and vendors of future computing...journal article 2017
- document
-
Sereeter, B. (author), Vuik, Cornelis (author), Witteveen, C. (author)Two mismatch functions (power or current) and three coordinates (polar, Cartesian andcomplex form) result in six versions of the Newton–Raphson method for the solution of powerflow problems. In this paper, five new versions of the Newton power flow method developed forsingle-phase problems in our previous paper are extended to three-phase power...journal article 2017
- document
-
Wobbes, Elizaveta (author), Beuth, Lars (author), Vuik, Cornelis (author), Stolle, D.F. (author)Soil liquefaction describes a loss of strength of saturated sand upon sudden or cyclic loading. A slight disturbance of such a soil’s fabric might lead to severe damage, e.g. the collapse of sea dikes. Accurate modeling of the state transition between saturated soil and a liquefied soil-water mixture, as well as post-liquefaction phenomena, is...journal article 2017
- document
-
Koppenol, D.C. (author), Vermolen, F.J. (author), Koppenol-Gonzalez, Gabriela V. (author), Niessen, Frank B. (author), van Zuijlen, Paul P.M. (author), Vuik, Cornelis (author)A continuum hypothesis-based model is developed for the simulation of the contraction of burns in order to gain new insights into which elements of the healing response might have a substantial influence on this process. Tissue is modeled as a neo-Hookean solid. Furthermore, (myo)fibroblasts, collagen molecules, and a generic signaling molecule...journal article 2016
- document
-
Vuik, V. (author), Jonkman, Sebastiaan N. (author), Borsje, B. W. (author), Suzuki, T. (author)This paper analyses the effect of vegetation on wave damping under severe storm conditions, based on a combination of field measurements and numerical modelling. The field measurements of wave attenuation by vegetation were performed on two salt marshes with two representative but contrasting coastal wetland vegetation types: cordgrass ...journal article 2016
- document
-
Vuik, A. (author), Eeltink, D. (author), Akhmerov, A.R. (author), Wimmer, M.T. (author)One of the promising platforms for creating Majorana bound states is a hybrid nanostructure consisting of a semiconducting nanowire covered by a superconductor.Weanalyze the previously disregarded role of electrostatic interaction in these devices. Our main result is that Coulomb interaction causes the chemical potential to respond to an applied...journal article 2016
- document
-
Van Wijngaarden-van Rossum, W.K. (author), Van Paassen, L.A. (author), Vermolen, F.J. (author), Van Meurs, G.A.M. (author), Vuik, C. (author)Biogrout is a method to strengthen granular soil, which is based on microbial-induced carbonate precipitation. To model the Biogrout process, a reactive transport model is used. Since high flow rates are undesirable for the Biogrout process, the model equations can be solved with a standard Galerkin finite element method. The Biogrout process...journal article 2016
- document
-
Vuik, M.J. (author), Ryan, J.K. (author)In Vuik and Ryan [J. Comput. Phys., 270 (2014), pp. 138--160] we studied the use of troubled-cell indicators for discontinuity detection in nonlinear hyperbolic partial differential equations and introduced a new multiwavelet technique to detect troubled cells. We found that these methods perform well as long as a suitable, problem-dependent...journal article 2016
- document
-
Koppenol, D.C. (author), Vermolen, F.J. (author), Niessen, Frank B. (author), van Zuijlen, Paul P.M. (author), Vuik, Cornelis (author)A continuum hypothesis-based, biomechanical model is presented for the simulation of the collagen bundle distribution-dependent contraction and subsequent retraction of healing dermal wounds that cover a large surface area. Since wound contraction mainly takes place in the dermal layer of the skin, solely a portion of this layer is included...journal article 2016
- document
-
Koppenol, D.C. (author), Vermolen, F.J. (author), Niessen, Frank B. (author), van Zuijlen, Paul P.M. (author), Vuik, Cornelis (author)A continuum hypothesis-based model is presented for the simulation of the formation and the subsequent regression of hypertrophic scar tissue after dermal wounding. Solely the dermal layer of the skin is modeled explicitly and it is modeled as a heterogeneous, isotropic and compressible neo-Hookean solid. With respect to the constituents of the...journal article 2016
- document
-
Knibbe, H. (author), Vuik, C. (author), Oosterlee, C.W. (author)In geophysical applications, the interest in least-squares migration (LSM) as an imaging algorithm is increasing due to the demand for more accurate solutions and the development of high-performance computing. The computational engine of LSM in this work is the numerical solution of the 3D Helmholtz equation in the frequency domain. The...journal article 2015
- document
-
Knibbe, H.P. (author), Vuik, Cornelis (author), Oosterlee, C.W. (author)In geophysical applications, the interest in least-squares migration (LSM) as an imaging algorithm is increasing due to the demand for more accurate solutions and the development of high-performance computing. The computational engine of LSM in this work is the numerical solution of the 3D Helmholtz equation in the frequency domain. The...journal article 2015
- document
-
Van Wijngaarden, W.K. (author), Van Paassen, L.A. (author), Vermolen, F.J. (author), Van Meurs, G.A.M. (author), Vuik, C. (author)Biogrout is a method for reinforcement of granular soil. In the Biogrout process, calcium carbonate is produced. This solid connects the grains, and therefore the strength of the soil is increased. The calcium carbonate is formed with the use of micro-organisms. Experiments and numerical simulations have been performed to demonstrate the process...journal article 2015
- document
-
Lahaye, D.J.P. (author), Vuik, C. (author)Networks for the high-voltage distribution of electrical energy are currently undergoing farreaching developments. National power grids are evolving fromstatic entities, producingmainly a uni-directional flow from generation to loads, to more dynamic and decentralized structures. These emerging power systems should accommodate the local...journal article 2015
- document
-
Van Wageningen-Kessels, F.L.M. (author), Van Lint, J.W.C. (author), Hoogendoorn, S.P. (author), Vuik, C. (author)We propose and analyze a generic multi-class kinematic wave traffic flow model: Fastlane. The model takes into account heterogeneity among driver-vehicle units with respect to speed and space occupancy: long vehicles with large headways (e.g. trucks) take more space than short vehicles with short headways (e.g. passenger cars). Moreover, and...journal article 2014