Vidovic, D., Segal, A., Wesseling, P.
A method for linear reconstruction of staggered vector fields with special treatment of the divergence is presented. An upwind-biased finite volume scheme for solving the unsteady incompressible...
Aminopeptidase A is a functional target in angiogenic blood vessels (2004)
Marchio, S., Lahdenranta, J., Schlingemann, R.O., Valdembri, D., Wesseling, P., Arap, M.A., ...
A conservative pressure-correction method for flow at all speeds (2003)
Van Der Heul, D.R., Vuik, C., Wesseling, P.
A new fully conservative Mach-uniform staggered scheme is discussed. With this scheme one can compute flow with a Mach number ranging from the incompressible limit Mdown arrow0 up to supersonic flow...
Wenneker, I., Segal, A., Wesseling, P.
In Wenneker et al., an unstructured staggered scheme for the two-dimensional (2D) Euler equations is discussed. Such a scheme cannot be in classic conservation form for momentum. The aim of the...
Van Der Heul, D.R., Vuik, C., Wesseling, P., Baines, M.J.
To efficiently compute weakly compressible magnetohydrodynamic flows in astrophysical applications, approximate low Mach number reduced forms of the compressible MHD equations are frequently used....
A Mach-uniform unstructured staggered grid method (2002)
Wenneker, I., Segal, A., Wesseling, P.
A novel Mach-uniform method to compute flows using unstructured staggered grids is discussed. The Mach-uniform method is a generalization of the pressure-correction approach for incompressible flows,...
Von Neumann stability conditions for the convection-diffusion equation (2001)
A method is presented to easily derive von Neumann stability conditions for a wide variety of time discretization schemes for the convection-diffusion equation. Spatial discretization is by the...
Computation of Turbulent Flow in General Domains (2001)
P. Wesseling, M. Zijlema, A. Segal
The computation of incompressible turbulent flow with two-equation closure models
Numerical modeling of convection suitable for finite volume methods for steady-state, multidimensional, incompressible, turbulent flows is considered. Two methods used to achieve higher order...
Uniform Convergence of Discretization Error for a Singular Perturbation Problem (2001)
Cell-centered discretization of the convection-diffusion equation with large P'eclet number P e is analyzed, in the presence of a parabolic boundary layer. It is shown theoretically how by suitable...
On Accurate Discretization of Turbulence Transport Equations in General Coordinates (2001)
In this paper some discretization issues that arise in finite volume computations
Computation of liquid hydrazine depressurisation with a Mach-uniform staggered scheme (2001)
Reynier, P., Wesseling, P., Marraffa, L., Giordano, D.
A numerical method (pressure-correction method using a staggered grid) is coupled to a thermodynamic model for compressible liquid hydrazine. The method is applied to the venting of liquid hydrazine...
Stability analysis of segregated solution methods for compressible flow (2001)
Van Der Heul, D.R., Vuik, C., Wesseling, P.
A stability analysis is presented for staggered schemes for the governing equations of compressible flow. The method is based on Fourier analysis. The approximate nature of pressure-correction...
A unified method for compressible and incompressible flows with general equation of state (2001)
Wesseling, P., Van Der Heul, D.R.
A unified method for computing incompressible and compressible flows is presented. The method is an extension of a staggered scheme with pressure correction for incompressible flows. The method is...
Wesseling, P., Oosterlee, C.W.
An overview is given of the development of the geometric multigrid method, with emphasis on applications in computational fluid dynamics over the last ten years. Both compressible and incompressible...
Uniformly effective numerical methods for hyperbolic systems (2001)
Wesseling, P., Van Der Heul, D.R.
A unified method to compute compressible and incompressible Rows is presented. Accuracy and efficiency do not degrade as the Mach number tends to zero. A staggered scheme solved with a pressure...
Clinical and pathologic abnormalities in a family with parkinsonism and parkin gene mutations (2001)
Lammens, M., Lucking, C.B., Denefle, P., Wesseling, P., Booij, J., ...
Geometric multigrid with applications to computational fluid dynamics (2001)
Wesseling, P., Oosterlee, C.W.
An overview is given of the development of the geometric multigrid method, with emphasis on applications in computational fluid dynamics over the last ten years. Both compressible and incompressible...
Efficient computation of coarse grid matrices is important to the overall efficiency of multigrid methods using Galerkin coarse grid approximation. A way to compute coarse grid matrices efficiently...
Solution of the Incompressible Navier-Stokes Equations (2000)
S. Zeng, C. Vuik, P. Wesseling
In this paper three iterative methods are studied: preconditioned GMRES with ILU preconditioning, GMRESR with multigrid as inner loop and multigrid for the solution of the incompressible...
The performance of a linear multigrid method using four smoothing methods, called SCGS, CLGS, SILU and CILU is investigated for the incompressible Navier-Stokes equations in general coordinates, in...
Brakkee, E., Wesseling, P., Kassels, C.G.M.
This paper describes a domain decomposition method for the incompressible Navier-Stokes equations in general co-ordinates. Domain decomposition techniques are needed for solving flow problems in...
The accuracy of colocated finite volume schemes for the incompressible Navier-Stokes equations on non-smooth curvilinear grids is investigated. A frequently used scheme is found to be quite...
Fast pressure calculation for 2D and 3D time dependent incompressible flow (2000)
Van Kan, J., Vuik, C., Wesseling, P.
A black box multigrid preconditioner is described for second order elliptic partial differential equations, to be used in pressure calculations in a pressure correction method. The number of cells in...
Brakkee, E., Wesseling, P., Kassels, C.G.M.
This paper describes a domain decomposition method for the incompressible Navier-Stokes equations in general co-ordinates. Domain decomposition techniques are needed for solving flow problems in...
Parallelism in GMRES applied to the computation of incompressible flows (1999)
A parallel implementation of the preconditioned GMRES method is described. The method is applied to solve the discretized incompressible Navier-Stokes equations. A parallel implementation of the...
M. Zijlema, A. Segal, P. Wesseling
A brief review of some publications on computation of incompressible turbulent flow in complex geometries is given. A 2D finite volume method for the calculation of turbulent flow in general...
Discretization of the Navier-Stokes equations on non-smooth grids using auxiliary points (1999)
The colocated scheme for the incompressible Navier-Stokes equations is improved on structured non-Cartesian grids. The method relies on a finite volume discretization and on the use of auxiliary...
A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation (1999)
Van Der Heul, D.R., Vuik, C., Wesseling, P.
We demonstrate the advantages of discretizing on a staggered grid for the computation of solutions to hyperbolic systems of conservation laws arising from instationary flow of an inviscid fluid with...
Computing flows on general three-dimensional nonsmooth staggered grids (1999)
Wesseling, P., Segal, A., Kassels, C.G.M.
The classical staggered scheme for the incompressible Navier-Stokes equations is generalized from Cartesian grids to general boundary-fitted structured grids in three dimensions. The resulting...
Spinal xanthomatosis: a variant of cerebrotendinous xanthomatosis (1999)
Verrips, A., Lycklama A Nijeholt, G.J., Barkhof, F., Wesseling, P., ...
Introduction To Multigrid Methods. (1998)
These notes were written for an introductory course on the application of multigrid methods to elliptic and hyperbolic partial differential equations for engineers, physicists and applied...
A numerical method for the computation of viscous flows at all speeds (1998)
A unified method for computing incompressible and compressible flows with Mach-uniform accuracy and efficiency is described. The method is equally applicable to stationary and instationary flows....
A unified method for computing incompressible and compressible flows with Mach-uniform accuracy and efficiency is described. The method is equally applicable to stationary and nonstationary flows. A...
Brakkee, E., Vuik, C., Wesseling, P.
For the solution of practical flow problems in arbitrarily shaped domains, simple Schwarz domain decomposition methods with minimal overlap are quite efficient, provided Krylov subspace methods, e.g....
Colocated discretization of the Navier-Stokes equations on highly non-smooth grids (1998)
Moulinec, C., Wesseling, P., Segal, A., Kassels, C.G.M.
Industrial flows are usually computed on non-orthogonal grids when structured meshes are used. An accurate method, called here the S scheme, exists for staggered arrangement of the unknowns to...
A staggered scheme for hyperbolic conservation laws (1998)
Van Der Heul, D.R., Wesseling, P.
We intend to demonstrate the advantages of discretizing on a staggered grid for the computation of solutions to hyperbolic systems of conservation laws arising from instationary flow of an inviscid...
Parallelism in ILU-preconditioned GMRES (1998)
A parallel implementation of the preconditioned GMRES method is described. The method is used to solve the discretized incompressible Navier-Stokes equations. A parallel implementation of the inner...
Wesseling, P., Segal, A., Kassels, C.G.M., Bijl, H., Dijkstra, D., Kuerten, J.G.M., ...
The classical staggered scheme for the incompressible Navier-Stokes equations is generalized from Cartesian grids to general boundary-fitted structured grids. The resulting discretization is...
Higher-order flux-limiting schemes for the finite volume computation of incompressible flow (1998)
Numerical modelling of convection suitable for cell-centred finite volume methods for incompressible flow is considered. Higher-order accurate and oscillation-free solutions are obtained through flux...
Boersma, B.J., Kooper, M.N., Nieuwstadt, F.T.M., Wesseling, P., Geurts, B.J., Kuerten, J.G.M., ...
A method for performing nested-grid calculations with a Large-Eddy Simulation (LES) code is described. The grid consists of a coarse mesh and a fine mesh which overlaps the coarse in some region. A...
Brakkee, E., Vuik, C., Wesseling, P.
For the solution of practical flow problems in arbitrarily shaped domains, simple Schwarz domain decomposition methods with minimal overlap are quite efficient, provided Krylov subspace methods, such...
Computation of turbulent flow in general domains (1997)
Wesseling, P., Zijlema, M., Segal, A., Kassels, C.G.M.
The computation of incompressible turbulent flow with two-equation closure models (k-epsilon and k-omega) is considered. The Cartesian staggered grid approach is generalized to general...
Aminopeptidase A is a constiuent of activated pericytes during angiogenesis (1997)
Ruiter, D.J., Rietveld, F.J.R., Wesseling, P., Oosterwijk, E., Schlingemann, R.O.
The Aicardi-Goutieres syndrome: Variable clinical expression in two siblings (1997)
Rotteveel, J.J., Wesseling, P., Gabreëls, F.J.M., Hiel, J.A.P., Verrips, A.
The aicardi-Goutieres syndrome: variable clinical expression in two siblings (1997)
Rotteveel, J.J., Wesseling, P., Gabreëls, F.J.M., Hiel, J.A.P., Verrips, A.
Infantile motor neuron disease with autonomic dysfunction and bunina bodies (1997)
Sengers, R.C.A., Gabreëls, F.J.M., Bruinenberg, J.F.M., Wesseling, P., Semmekrot, B.A.
A numerical method for the computation of compressible flows with low Mach number regions (1996)
A method for the numerical solution of compressible flows with lour Mach number regions is described. The method is accurate and efficient For Mach numbers ranging between O and O(1), The method uses...
Koren, B., Michielsen, P.F.M., Kars, J.W., Wesseling, P.
To predict high-frequency oil-flow phenomena in hydraulic-shock-absorber designs, a mathematical-physical model is proposed. The model consists of the 2-D unsteady Euler equations in axial-symmetric...
von Neumann stability conditions for the convection-diffusion equation (1996)
A method is presented to easily derive von Neumann stability conditions for a wide variety of time discretization schemes for the convection-diffusion equation. Spatial discretization is by the...
Aminopeptidase A is a constituent of activated pericytes in angiogenesis (1996)
Ruiter, D.J., Rietveld, F.J.R., Wesseling, P., Oosterwijk, E., Schlingemann, R.O.
Choroid plexus carcinoma: a report of two cases and review of the literature (1996)
Wesseling, P., Merx, J.L., Lippens, R.J.J., Gabreëls, F.J.M., Geerts, Y.
Choroid plexus carcinoma: a report of two cases and review of the literature (1996)
Wesseling, P., Merx, H., Lippens, R., Gabreëls, F., Geerts, Y.
Uniform Convergence of Discretization Error for a Singular Perturbation Problem (1995)
Cell-centered discretization of the convection-diffusion equation with large P'eclet number P e is analyzed, in the presence of a parabolic boundary layer. It is shown theoretically how by suitable...
Krylov Subspace and Multigrid Methods applied to the Incompressible Navier-Stokes Equations (1995)
C. Vuik, P. Wesseling, S. Zeng
We consider numerical solution methods for the incompressible NavierStokes equations discretized by a finite volume method on staggered grids in general coordinates. We use Krylov subspace and...
Krylov Subspace and Multigrid Methods applied to the Incompressible Navier-Stokes Equations (1995)
C. Vuik, P. Wesseling, S. Zeng
We consider numerical solution methods for the incompressible NavierStokes equations discretized by a finite volume method on staggered grids in general coordinates. We use Krylov subspace and...
Krylov Subspace and Multigrid Methods applied to the Incompressible Navier-Stokes Equations (1995)
C. Vuik, P. Wesseling, S. Zeng
We consider numerical solution methods for the incompressible NavierStokes equations discretized by a finite volume method on staggered grids in general coordinates. We use Krylov subspace and...
C. W. Oosterlee, A. Segal, P. Wesseling
This report may be considered as a continuation and extension of the report of Cuvelier (1987), where a formulation was given of the Navier-Stokes equations coupled with an equation of convection...
A computational method for oleo-acoustics, application to hydraulic shock absorbers (1995)
Koren, B., Michielsen, P.F.M., Kars, J.W., Wesseling, P.
To investigate the cause of noise generated in hydraulic shock absorbers, a mathematical-physical model is proposed. The model consists of the 2-D unsteady Euler equations in axial-symmetric...
On the Robustness of a Multiple Semi-Coarsened Grid Method (1995)
Oosterlee, C.W., Wesseling, P.
The robustness of a non-standard multigrid method called Multiple Semi-coarsened Grids (MSD) is investigated. The smoother is a damped point-Jacobi relaxation method. Three different coarse grid...
An Ilu Smoother for the Incompressible Navier-Stokes Equations in General Coordinates (1995)
The solution of the incompressible Navier-Stokes equations in general two- and three-dimensional domains using a multigrid method is considered. Because a great variety of boundary-fitted grids may...