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    Chapter and Conference Paper

    Nonlinear Flux Approximation Scheme for Burgers Equation Derived from a Local BVP

    We present a novel flux approximation scheme for the viscous Burgers equation. The numerical flux is computed from a local two-point boundary value problem for the stationary equation and requires the iterativ...

    J. H. M. ten Thije Boonkkamp, N. Kumar in Numerical Mathematics and Advanced Applica… (2019)

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    Chapter and Conference Paper

    A Nonlinear Flux Approximation Scheme for the Viscous Burgers Equation

    We a nonlinear flux approximation for the discretization of the Burgers equation. We derive the numerical flux function from a local two-point boundary value problem (BVP), which results in a nonlinear...

    N. Kumar, J. H. M. ten Thije Boonkkamp in Finite Volumes for Complex Applications VI… (2017)

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    Chapter and Conference Paper

    A Sub-cell Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations

    In this contribution we present a sub-cell discretization method for the computation of the interface velocities involved in the convective terms of the incompressible Navier-Stokes equations. We compute an in...

    N. Kumar, J. H. M. ten Thije Boonkkamp in Spectral and High Order Methods for Partia… (2015)

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    Chapter and Conference Paper

    A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations

    In this contribution we present the use of local one-dimensional boundary value problems (BVPs) to compute the interface velocities in the convective terms of the incompressible Navier-Stokes equations. This t...

    N. Kumar, J. H. M. ten Thije Boonkkamp in Finite Volumes for Complex Applications VI… (2014)

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    Chapter and Conference Paper

    Fix for Solution Errors near Interfaces in Two-Fluid Flow Computations

    A finite-volume method is considered for the computation of flows of two compressible, immiscible fluids at very different densities. A level-set technique is employed to distinguish between the two fluids. A ...

    B. Koren, E. H. van Brummelen, P. W. Hemker in Computational Fluid Dynamics 2002 (2003)

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    Chapter and Conference Paper

    Numerical Solution of Steady Free-Surface Navier-Stokes Flow

    The usual time integration approach for solving steady viscous free-surface flow problems has several drawbacks. We propose an efficient iterative method, which relies on a so-called quasi free-surface conditi...

    E. H. van Brummelen, H. C. Raven, B. Koren in Computational Fluid Dynamics 2000 (2001)

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    Chapter and Conference Paper

    Dynamic process composition and communication patterns in irregularly structured applications

    In this paper we describe one experiment in which a new coordination language, called Manifold, is used to restructure an existing sequential Fortran code from computational fluid dynamic (CFD), into a parallel a...

    C. T. H. Everaars, B. Koren, F. Arbab in Parallel and Distributed Processing (1999)

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    Chapter and Conference Paper

    3D Multigrid on Partially Ordered Sets of Grids

    In this paper we discuss different possibilities of using partially ordered sets of grids in multigrid algorithms. Because, for a classical sequence of regular grids the number of degrees of freedom grows much...

    P. W. Hemker, B. Koren, J. Noordmans in Multigrid Methods V (1998)

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    Chapter and Conference Paper

    Monotone, higher-order accurate, multi-dimensional upwinding

    B. Koren, H.T.M. van der Maarel in Thirteenth International Conference on Num… (1993)

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    Chapter and Conference Paper

    Multi-D Upwinding and Multigridding for Steady Euler Flow Computations

    Multi-dimensional upwind discretizations for the steady Euler equations are studied, with the emphasis on both a good accuracy and a good efficiency. The discretizations consist of a one-dimensional Riemann so...

    B. Koren, P. W. Hemker in Proceedings of the Ninth GAMM-Conference o… (1992)

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    Chapter and Conference Paper

    A nonlinear multigrid method for the efficient solution of the steady Euler equations

    An efficient iterative method has been developed for the accurate solution of the non-isenthalpic steady Euler equations for inviscid flow.

    P. W. Hemker, B. Koren, S. P. Spekreijse in Tenth International Conference on Numerica… (1986)