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- Vuik, C. (author), Benchev, I. (author) report 2007
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- Idema, R. (author), Vuik, C. (author) report 2007
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- Van Veldhuizen, S. (author), Vuik, C. (author), Kleijn, C.R. (author) report 2007
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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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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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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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Van Veldhuizen, S. (author), Vuik, C. (author), Kleijn, C.R. (author)In this study various numerical schemes for transient simulations of 2D laminar reacting gas flows, as typically found in Chemical Vapor Deposition (CVD) reactors, are proposed and compared. These systems are generally modeled by means of many stiffly coupled elementary gas phase reactions between a large number of reactants and intermediate...report 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 Poisson equation takes the most computational time, despite of its elliptic nature. ICCG is widely...report 2006
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van der Pijl, S.P. (author), Segal, A. (author), Vuik, C. (author)In this work incompressible two-phase flows are considered. The aim is to model high density-ratio flows with arbitrary complex interface topologies, such as occur in air/water flows. Between the phases a sharp front exists, where density and viscosity change abruptly. The computational method used in this paper is the Mass Conserving Level-Set...report 2006
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- Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author) report 2006
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Van Veldhuizen, S. (author), Vuik, C. (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 systems are generally modeled by means of many stiffly coupled elementary gas phase reactions between a large number of reactants and intermediate species. The...report 2006
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Tang, J.M. (author), Vuik, C. (author)For various applications, it is well-known that deflated ICCG is an efficient method for solving linear systems with invertible and singular co-efficient matrix. This deflated ICCG with subdomain deflation vectors is used by us to solve linear systems with singular coefficient matrix, arising from a discretization of the Poisson equation with...report 2006
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- Brusche, J.H. (author), Segal, A. (author), Vuik, C. (author) report 2006
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- Tang, J.M., (author), Vuik, C. (author) report 2005
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Tang, J.M., (author), Vuik, C. (author)In this report we give new insights into the properties of invertible and singular deflated and preconditioned linear systems where the coefficient matrices are also symmetric and positive (semi-) definite. First we prove that the invertible de ated matrix has always a more favorable effeective condition number compared to the original matrix....report 2005
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), Segal, A. (author)A mathematical model is proposed for the dissolution of stoichiometric particles in binary alloys occurring during the heat treatments of as-cast aluminium alloys prior to hot extrusion. The Level Set method is used to capture the interface location implicitly. The front velocity, only dened on the moving interface, should be advected to the...report 2005
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), van der Zwaag, S. (author)In this paper we present a critical comparison of the suitability of several numerical methods, level set, moving grid and phase eld model, to address two well known Stefan problems in phase transformation studies: melting of a pure phase and diusional solid state phase transformations in a binary system. Similarity solutions are applied to...report 2005
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Nabben, R. (author), Vuik, C. (author)In this paper we compare various preconditioners for the numerical solution of partial differential equations. We compare the well-known balancing Neumann Neumann preconditioner used in domain decomposition methods with a so-called deflation preconditioner. We prove that the effective condition number of the deflated preconditioned system is...report 2004
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Erlangga, Y.A. (author), Oosterlee, C.W. (author), Vuik, C. (author)An iterative solution method, in the form of a preconditioner for a Krylov subspace method, is presented for the Helmholtz equation. The preconditioner is based on a Helmholtz type differential operator with a complex term. A multigrid iteration is used for approximately inverting the preconditioner. The choice of multigrid components for the...report 2004
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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