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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 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

    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

    A Non-Linear Multigrid Method for the Steady Euler Equations

    Higher-order accurate Euler-flow solutions are presented for some airfoil test cases. Second-order accurate solutions are computed by an Iterative Defect Correction process. For two test cases even higher accu...

    P. W. Hemker, B. Koren in Numerical Simulation of Compressible Euler Flows (1989)