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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), Segal, A. (author), Van der Zwaag, S. (author)In thermal processing of alloys, homogenization of the as-cast microstructure by annealing at such a high temperature that unwanted precipitates are fully dissolved, is required to obtain a microstructure suited to undergo heavy plastic deformation. This process is governed by Fickian diffusion and can be modelled as a Stefan problem. In binary...conference paper 2006
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Vos, P.E.J. (author), Gerritsma, M.I. (author)This papers describes the use of the Least-Squares Spectral Element Method to polynomial Chaos to solve stochastic partial differential equations. The method will be described in detail and a comparison will be presented between the least-squares projection and the conventional Galerkin projection.conference paper 2006
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Naber, J. (author), Koren, B. (author)In this work a numerical method for the solution of the two-dimensional Euler equations describing unsteady compressible two-fluid flow is presented. The method is based on the combination of a Runge-Kutta discontinuous Galerkin discretization of the Euler equations and a level-set method for the treatment of the two-fluid interface. The...conference paper 2006
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Vermolen, F.J. (author), Pinson, P. (author), Vuik, C. (author), Van der Zwaag, S. (author)The work deals in particular with dissolution and growth of particles in solid-state alloys. Several models are presented and numerical solution procedures are summarized briefly. Further, some analytic solutions are considered shortly, which are useful to validate the numerical solutions. One model, which incorporates surface energy effects is...conference paper 2006
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Suiker, A.S.J. (author), Turteltaub, S.R. (author)A recently developed thermo-mechanical model [1] is presented that can be used to simulate the interactions between martensitic phase transformations and crystalline damage growth at the austenitic grain level. Subgrain information is included in the model via the crystallographic theory of martensitic transformations, see also [2,3]. The state...conference paper 2006
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Wackers, J. (author), Koren, B. (author)A surface capturing method is developed for steady water-air flow with gravity. Second-order accuracy is obtained with flux limiting and turbulence is modeled with Menter's model. The model is solved efficiently with a combination of multigrid and defect correction. Results for two test cases confirm the efficiency and accuracy of the method.conference paper 2006
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Van Dalen, W.R. (author), Gerritsma, M.I. (author)This paper discusses the use of the Least-Squares Spectral Element Method in solving the linear, 1-dimensional advection-reaction equation. Well-posedness of the Least-Squares formulation will be derived. The formulation and its results will be compared to the standard Galerkin Spectral Element Method.conference paper 2006
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Oldenziel, G. (author), Gerritsma, M.I. (author)This paper describes the use of the Least-Squares Spectral Element Method for non-linear hyperbolic equations. The one-dimensional inviscid Burgers equation is specifically subject of investigation. A second order backward difference method is used for time stepping. The behaviour of this formulation is examined by application to a testcase...conference paper 2006
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Van Veldhuizen, S. (author), Vuik, K. (author), Kleijn, C.R. (author)In this study various numerical schemes for simulating 2D laminar reacting gas flows, as typically found in Chemical Vapor Deposition (CVD) reactors, are proposed and compared. These CVD systems are generally modeled by means of many stiffly coupled elementary gas phase reactions between a large number of reactants and intermediate species. The...conference paper 2006
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De Maerschalck, B. (author), Gerritsma, M.I. (author)Least-squares methods for partial differential equations are based on a norm-equivalence between the error norm and the residual norm. The resulting algebraic system of equations, which is symmetric positive definite, can also be obtained by solving a weighted collocation scheme using least-squares to solve the resulting algebraic equations....conference paper 2006
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Cnossen, J.M. (author), Bijl, H. (author), Gerritsma, M.I. (author), Koren, B. (author)For goal-oriented model adaptation a model-error estimator is required to drive the adaptation process. In recent years publications have appeared on the dual-weighted residual (DWR) method in the application of model-error estimation in output functionals. In this paper we study the application of the DWR method for convection-diffusion...conference paper 2006
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Cargnelutti, M. (author), Breugem, W.A. (author), Portela, L.M. (author), Mudde, R.F. (author), Uijttewaal, W.S.J. (author), Stelling, G.S. (author)In this work, a comparison between the results of point-particle direct numerical simulations and PIV/PTV experiments of a particle-laden horizontal channel flow is presented. The numerical simulations were preformed trying to mimic as much as possible the experimental conditions. The accuracy of the point-particle approach was evaluated by...conference paper 2006
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Van Doren, J. (author), Markovinovic, R. (author), Jansen, J.D. (author)During the design of development concepts for the exploitation of oil and gas reservoirs, frequent use is made of numerical simulation of the flow of multi-phase fluids through porous rock. Recently, increased attention has been paid to systematic optimization of well positions and operating parameters (rates, pressures) over the life of the...conference paper 2006
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Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author), Urbach, H.P. (author)In optical rewritable recording media, such as the Blu-ray Disc, amorphous marks are formed on a crystalline background of a phase-change layer, by means of short, high power laser pulses. In order to improve this data storage concept, it is of great importance to understand the mark formation process. Therefore, a rigorous numerical model is...conference paper 2006
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Nabben, R. (author), Vuik, C. (author)The balancing Neumann-Neumann (BNN) and the additive coarse grid correction (BPS) preconditioner are fast and successful preconditioners within domain decomposition methods for solving partial differential equations. For certain elliptic problems these preconditioners lead to condition numbers which are independent of the mesh sizes and are...conference paper 2006
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Sarkar, S. (author), Bijl, H. (author)In this paper the aeroelastic stability of a wind turbine rotor in the dynamic stall regime is investigated. Increased flexibility of modern turbine blades makes them more susceptible to aeroelastic instabilities. Complex oscillation modes like flap/lead-lag are of particular concern, which give way to potential structural damage, see...conference paper 2006
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Jaszczur, M. (author), Portela, L.M. (author)In present work heat transfer in particle-laden wall-bounded turbulent flows has been study with the fluid-particle one way interaction approach. Direct Numerical Simulation of the flow, combined with Lagrangian particle tracking technique has been performed to study the problem. In presented configuration small solid and dense particles...conference paper 2006
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Tang, J.M. (author), Vuik, C. (author)Simulating bubbly flows is a very popular topic in CFD. These bubbly flows are governed by the Navier-Stokes equations. In many popular operator splitting formulations for these equations, solving the linear system coming from the discontinuous diffusion equation takes the most computational time, despite of its elliptic origins. Sometimes these...conference paper 2006
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Boersma, B.J. (author), Van der Hoeven, S. (author)Modeling of scalar transport is an essential point in the simulation of non-premixed turbulent combustion. The fuel and oxidizer streams are, in general, modeled with an equation for the mixture fraction Z. This mixture fraction is a bounded function, i.e. it can never become large than one or smaller than zero. Symmetric central differencing...conference paper 2006
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Witteveen, J.A.S. (author), Bijl, H. (author)A monomial chaos approach is proposed for efficient uncertainty quantification in nonlinear computational problems. Propagating uncertainty through nonlinear equations can still be computationally intensive for existing uncertainty quantification methods. It usually results in a set of nonlinear equations which can be coupled. The proposed...conference paper 2006
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