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  1. No Access

    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)

  2. No Access

    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)

  3. No Access

    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)

  4. No Access

    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)