International Journal for Numerical Methods in Fluids

Cover image for Vol. 74 Issue 10

10 April 2014

Volume 74, Issue 10

Pages 699–773

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Lagrangian formulation for finite element analysis of quasi-incompressible fluids with reduced mass losses (pages 699–731)

      Eugenio Oñate, Alessandro Franci and Josep M. Carbonell

      Version of Record online: 16 JAN 2014 | DOI: 10.1002/fld.3870

      Thumbnail image of graphical abstract

      We have developed a new updated Lagrangian formulation for FEM analysis of incompressible fluids. The formulation has negligible mass losses for complex free surface flow problems. The usefulness and efficiency of the formulation are shown in the solution of free surface flow problems using the particle FEM. Collapse of water column. Comparison between experimental and particle FEM results at different times.

    2. Application of the finite point method to high-Reynolds number compressible flow problems (pages 732–748)

      Enrique Ortega, Eugenio Oñate, Sergio Idelsohn and Roberto Flores

      Version of Record online: 15 JAN 2014 | DOI: 10.1002/fld.3871

      Thumbnail image of graphical abstract

      The Finite Point Method (FPM) is applied to solve compressible high-Reynolds flows focusing on the automation of the meshless discretization of viscous layers and the construction of a robust numerical approximation in the resultant stretched clouds of points. An upwind-biased scheme is used to solve the averaged Navier-Stokes equations with an algebraic turbulence model. The numerical applications involve attached boundary layer flows. The results obtained are satisfactory and indicative of the possibilities of the proposed FPM technique.

    3. Analysis of efficient preconditioned defect correction methods for nonlinear water waves (pages 749–773)

      A. P. Engsig-Karup

      Version of Record online: 7 JAN 2014 | DOI: 10.1002/fld.3873

      Thumbnail image of graphical abstract

      For fast engineering analysis and large-scale solution of non-hydrostatic, free-surface, irrotational and inviscid flows in three space dimensions, it is of practical interest to utilize computational ressources optimally. To gain insight into algorithmic properties and proper choices of discretization parameters for different numerical strategies for the solution of fully nonlinear and dispersive water wave equations, we study systematically the limits of accuracy, convergence rate, algorithmic and numerical efficiency and scalability of the most efficient known iterative preconditioned defect correction methods.

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