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ur Rehman, M. (author), Vuik, C. (author), Segal, G. (author)The main core of this report is to explore the functionality of IFISS package [1]. IFISS stands for Incompressible Flow Iterative Solution Software (IFISS) designed in Matlab by David J. Silvester [2], Howard C. Elman [3] and Alison Ramage [4]. IFISS comprises of discretization and solving schemes for four type of PDEs (Poisson, Convection...report 2006
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Raees, F. (author), Van der Heul, D.R. (author), Vuik, C. (author)The Mass-Conserving Level-Set method combines the efficiency of a Level-Set algorithm with the mass conserving properties of the Volume Of Fluid method. It avoids the work intensive interface construction of the former method and imposes a mass-conserving correction to the distance function of the latter. The interface capturing algorithm...report 2011
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Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author)This paper is a review of a suite of mathematical models of increasing complexity on particle dissolution in metallic alloys. This work deals with models for multi-component particle dissolution in multi-component alloys, where various chemical species diffuse simultaneously, and a two-dimensional model incorporating interfacial reactions as in...report 2002
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Van Zwieten, J.S.B. (author), Sanderse, B. (author), Hendrix, M.H.V. (author), Vuik, C. (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...report 2015
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Ur Rehman, M. (author), Vuik, C. (author), Segal, G. (author)In this report, using SEPRAN, the incompressible Stokes and Navier Stokes problems are solved in a square and L-shaped domain with a varying grid size and Reynolds number. Both problems are solved with iterative solvers using an ILU preconditioner. Different ordering techniques of the grid points and the unknowns are used to avoid breakdown of...report 2006
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- Vuik, C. (author), Segal, A. (author), el Yaakoubi, L. (author), Dufour, E. (author) report 2001
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- Nabben, R. (author), Vuik, C. (author) report 2007
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- Idema, R. (author), Lahaye, D.J.P. (author), Vuik, C. (author) report 2009
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van Gijzen, M.B. (author), Erlangga, Y.A. (author), Vuik, C. (author)Shifted Laplace preconditioners have attracted considerable attention as a technique to speed up convergence of iterative solution methods for the Helmholtz equation. In this paper we present a comprehensive spectral analysis of the Helmholtz operator preconditioned with a shifted Laplacian. Our analysis is valid under general conditions. The...report 2006
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- Vuik, C. (author), Frank, J. (author), Segal, A. (author) report 2000
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Jönsthövel, T.B. (author), Van Gijzen, M.B. (author), MacLachlan, S. (author), Vuik, C. (author), Scarpas, A. (author)The demand for large FE meshes increases as parallel computing becomes the standard in FE simulations. Direct and iterative solution methods are used to solve the resulting linear systems. Many applications concern composite materials, which are characterized by large discontinuities in the material properties. An example of such a material is...report 2011
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He, X. (author), Neytcheva, M. (author), Vuik, C. (author)This paper deals with fast and reliable numerical solution methods for the incompressible non-Newtonian Navier-Stokes equations. To handle the nonlinearity of the governing equations, the Picard and Newton methods are used to linearize these coupled partial differential equations. For space discretization we use the finite element method and...report 2013
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- Tang, J.M. (author), Vuik, C. (author) report 2007
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- Zeng, S. (author), Vuik, C. (author), Wesseling, P. (author) report 1993
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- Ur Rehman, M. (author), Vuik, C. (author), Segal, G. (author) report 2007
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Gupta, R. (author), Van Gijzen, M.B. (author), Vuik, K. (author)We present an implementation of Two-Level Preconditioned Conjugate Gradient Method for the GPU. We investigate a Truncated Neumann Series based preconditioner in combination with deflation and compare it with Block Incomplete Cholesky schemes. This combination exhibits fine-grain parallelism and hence we gain considerably in execution time. It’s...report 2011
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Li, C. (author), Vuik, C. (author)In this paper, some theoretical results on the eigenvalue analysis of the SIMPLER preconditioning for incompressible now is presented. Some formulations have been derived to characterize the spectrum of the preconditioned matrix. These results could be helpful for the practical use of the SIMPLER preconditioning. Some numerical tests are reported.report 2003
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Li, C. (author), Vuik, C. (author)In this paper, an eigenvalue analysis of the SIMPLE preconditioning for incompressible flow is presented. Some formulations have been set up to characterize the spectrum of the preconditioned matrix. This leads to a generalized eigenvalue problem. The generalized eigenvalue problem is investigated. Some eigenvalue bounds and the estimation for...report 2002
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Vuik, K. (author), Daalderop, F. (author), Wilders, P. (author), Daudt, J. (author), Van Kints, R. (author), Koolstra, K. (author), Van den Oever, J. (author), Lobbezoo, B. (author)This report gives an overview of the work done on MUMIE [2] at TU Delft for the academic year 2012 - 2013. Reports from previous years can be found on our relevant support website [3]. In October 2012 there was a kick-off meeting at TU Berlin regarding the S3M2 project [1]. During this meeting, every participant was assigned to develop material...report 2013
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Qiu, Y. (author), Van Gijzen, M.B. (author), Van Wingerden, J.W. (author), Verhaegen, M. (author), Vuik, C. (author)In this manuscript, we study preconditioning techniques for optimal in-domain control of the Navier-Stokes equation, where the control only acts on a few parts of the domain. Optimization and linearization of the optimal in-domain control problem results in a generalized linear saddle-point system. The Schur complement for the generalized saddle...report 2015