International Journal for Numerical Methods in Fluids

Cover image for Vol. 72 Issue 7

10 July 2013

Volume 72, Issue 7

Pages 709–810

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Towards petascale spectral simulations for transition analysis in wall bounded flow (pages 709–723)

      Julien Montagnier, Anne Cadiou, Marc Buffat and Lionel Le Penven

      Version of Record online: 26 DEC 2012 | DOI: 10.1002/fld.3758

      Thumbnail image of graphical abstract

      An efficient parallel spectral method based on an original hybrid MPI/OpenMP strategy is described in this paper. Good scalability and very fast wall-clock times per iteration are obtained. Very large simulations are therefore accessible while keeping the attractive features of spectral methods - accuracy, exponential convergence, computational efficiency, conservative properties. This is illustrated by a direct numerical simulation of the transition and interaction of the boundary layers developing from the entrance section of a plane channel.

    2. Implementation of slip boundary conditions in the finite volume method: new techniques (pages 724–747)

      L.L. Ferrás, J.M. Nóbrega and F.T. Pinho

      Version of Record online: 26 DEC 2012 | DOI: 10.1002/fld.3765

      Thumbnail image of graphical abstract

      New strategies for the implementation of slip boundary conditions in the finite volume method are presented, comprising an implicit scheme for the linear slip model and semi-implicit schemes for non-linear slip laws in orthogonal and non-orthogonal meshes.

      The figure shows the number of iterations required to achieve convergence when solving the Poiseuille flow between parallel plates problem using the following schemes: implicit (SSI), explicit (SSE), semi-implicit transcendent (SSSIT) and semi-implicit SSSI (for the linear Navier slip law).

    3. Evaluation of RBFs for volume data interpolation in CFD (pages 748–769)

      T.C.S. Rendall and C.B. Allen

      Version of Record online: 25 JAN 2013 | DOI: 10.1002/fld.3766

      Thumbnail image of graphical abstract

      Velocity is interpolated through CFD meshes using RBFs. A greedy technique selects the most important cells to use, with the goal of finding an accurate interpolation using the smallest possible number of cells. The final result is compact and meshless and may be used in a range of co-processing and post-processing tasks; an example used here is to find streamlines or particle trajectories through the volume mesh.

    4. A finite volume cell-centered Lagrangian hydrodynamics approach for solids in general unstructured grids (pages 770–810)

      Shiv Kumar Sambasivan, Mikhail J Shashkov and Donald E Burton

      Version of Record online: 22 JAN 2013 | DOI: 10.1002/fld.3770

      Thumbnail image of graphical abstract

      A finite volume cell-centered Lagrangian hydrodynamics approach, formulated in Cartesian frame, is presented for solving elasto-plastic response of solids in general unstructured grids. Consistency of the formulation with Geometric Conservation Law and conservation of momentum and total energy equations are demonstrated. The suitability of the scheme is evinced by solving one- and two-dimensional benchmark problems both in structured grids and in unstructured grids with polygonal cells.