International Journal for Numerical Methods in Fluids

Cover image for Vol. 74 Issue 9

30 March 2014

Volume 74, Issue 9

Pages 623–697

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. A fixed-grid b-spline finite element technique for fluid–structure interaction (pages 623–660)

      T. Rüberg and F. Cirak

      Version of Record online: 13 DEC 2013 | DOI: 10.1002/fld.3864

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      We present a fixed-grid finite element technique for fluid-structure interaction problems involving incompressible viscous flows and thin structures. The flow equations are discretised using isoparametric b-spline basis functions defined on a logically Cartesian grid. The beam equations are discretised with b-splines, and the shell equations with subdivision basis functions, both leading to a rotation-free formulation.

    2. Multi-resolution analysis for high accuracy and efficiency of Euler computation (pages 661–683)

      Hyungmin Kang, Kyunghyun Park, Kyuhong Kim and Dohyung Lee

      Version of Record online: 6 JAN 2014 | DOI: 10.1002/fld.3866

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      A multi-resolution analysis (MRA) is developed for efficient and high order accurate flow computations. By using the MRA, the third order of numerical accuracy of a conventional method was preserved and the computing time is almost equal to or rather faster than that of the second order accurate simulation throughout the assessment of continuous and discontinuous flow applications.

    3. An SPH model for free surface flows with moving rigid objects (pages 684–697)

      M.B. Liu, J.R. Shao and H.Q. Li

      Version of Record online: 28 NOV 2013 | DOI: 10.1002/fld.3868

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      This paper presents an improved SPH model for simulating the complex process of free surface flows with moving rigid objects. The SPH model contains corrections on the SPH kernel and kernel gradients, enhancement of solid boundary and solid–fluid interface treatment, and implementation of Reynolds-averaged Navier–Stokes turbulence model. The effectiveness of the SPH model has been demonstrated by three numerical examples including the water exit of a cylinder, the sinking of a submerged cylinder and the complicated motion of an elliptical cylinder near free surface.