International Journal for Numerical Methods in Fluids

Cover image for Vol. 75 Issue 5

20 June 2014

Volume 75, Issue 5

Pages 313–384

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Estimates of surface normal and curvature, reconstruction of continuum surface force model, and elimination of spurious currents (pages 313–343)

      Chunbai Wang and Ambar K. Mitra

      Version of Record online: 28 FEB 2014 | DOI: 10.1002/fld.3896

      Thumbnail image of graphical abstract

      VOF function varies abruptly in the normal direction. The normal gradient of VOF function is found as the inverse of grid size. Only a second-order accurate finite differencing scheme is implemented along free surface.

    2. Development of LBGK and incompressible LBGK-based lattice Boltzmann flux solvers for simulation of incompressible flows (pages 344–364)

      Y. Wang, C. Shu and C. J. Teo

      Version of Record online: 27 FEB 2014 | DOI: 10.1002/fld.3897

      Thumbnail image of graphical abstract

      This paper presents a novel lattice Boltzmann flux solver for simulation of incompressible flows. It combines advantages of conventional Navier–Stokes solver and lattice Boltzmann solver and overcomes disadvantages of conventional lattice Boltzmann solver such as lattice uniformity, tie-up between mesh spacing and time interval, and limitation to viscous flows. As shown in the figure, it can be easily applied to flow problems with curved boundary.

    3. Discontinuous Galerkin finite element discretization of a strongly anisotropic diffusion operator (pages 365–384)

      A. Pestiaux, S.A. Melchior, J.F. Remacle, T. Kärnä, T. Fichefet and J. Lambrechts

      Version of Record online: 19 MAR 2014 | DOI: 10.1002/fld.3900

      Thumbnail image of graphical abstract

      In this paper, the discretization of a diffusion equation with a strong anisotropy by a discontinuous Galerkin finite element method is investigated. Two penalty factors from the literature have been improved and established from the coercivity property, in order to ensure stability and especially the efficiency of the system. The oriented penalty factor guarantees the weakest spurious numerical diffusion (right figure) and allows to have a well-conditioned system. Finally, this factor is used in a physical application : an idealized Arctic Ocean.