International Journal for Numerical Methods in Fluids

Cover image for Vol. 72 Issue 8

20 July 2013

Volume 72, Issue 8

Pages 811–911

  1. Review Article

    1. Top of page
    2. Review Article
    3. Research Articles
    1. High-order CFD methods: current status and perspective (pages 811–845)

      Z.J. Wang, Krzysztof Fidkowski, Rémi Abgrall, Francesco Bassi, Doru Caraeni, Andrew Cary, Herman Deconinck, Ralf Hartmann, Koen Hillewaert, H.T. Huynh, Norbert Kroll, Georg May, Per-Olof Persson, Bram van Leer and Miguel Visbal

      Version of Record online: 24 JAN 2013 | DOI: 10.1002/fld.3767

      Thumbnail image of graphical abstract

      This review presents the test cases and principal results of a first workshop in high-order methods for computational fluid dynamics. Some conclusions are drawn on the role of high-order for CFD problems, and pacing items are identified for ongoing research.

  2. Research Articles

    1. Top of page
    2. Review Article
    3. Research Articles
    1. Modeling and simulation of three-dimensional extrusion swelling of viscoelastic fluids with PTT, Giesekus and FENE-P constitutive models (pages 846–863)

      Yue Mu, Guoqun Zhao, Anbiao Chen and Xianghong Wu

      Version of Record online: 6 FEB 2013 | DOI: 10.1002/fld.3760

      Thumbnail image of graphical abstract

      The mathematical model of three-dimensional extrusion swelling of viscoelastic fluids is established with the Phan-Thien Tanner, the Giesekus, and the finite extensible nonlinear elastic dumbbell with a Peterlin closure approximation constitutive models. The nonlinear governing equations are solved by using penalty finite element method with decoupled algorithm. The calculation stability is improved by employing discrete elastic-viscous split stress formulation in cooperation with the streamline-upwind scheme. The proposed numerical methods can successfully predict and explain swelling mechanism of viscoelastic fluids.

    2. Sparse element for shallow water wave equations on triangle meshes (pages 864–882)

      Peter Mewis

      Version of Record online: 24 JAN 2013 | DOI: 10.1002/fld.3761

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      A sparse mixed finite element for flow computations is proposed having advantageous dispersion properties with respect to wave propagation. This element implemented in the flow model Bubble is computationally efficient and yields good results in different test cases including supercritical flow. For a tide computation in the Elbe estuary, the agreement between computed and observed water levels at the gauge Blankenese is fairly well without extensive calibration.

    3. Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow (pages 883–894)

      R. Hartmann

      Version of Record online: 24 JAN 2013 | DOI: 10.1002/fld.3762

      Thumbnail image of graphical abstract

      In this article, a discontinuous Galerkin (DG) discretization of the Reynolds-averaged Navier-Stokes and the k- ω turbulence model equations is stabilized using a consistent shock-capturing method and is combined with residual-based and anisotropicmesh refinement. This higher-order and adaptive DG discretization is then applied to transonic turbulent flow around the second vortex flow experiment (VFE-2) configuration with a good resolution of the vortex system.

    4. A lattice Boltzmann fictitious domain method for modeling red blood cell deformation and multiple-cell hydrodynamic interactions in flow (pages 895–911)

      Xing Shi, Guang Lin, Jianfeng Zou and Dmitry A. Fedosov

      Version of Record online: 14 JAN 2013 | DOI: 10.1002/fld.3764

      Thumbnail image of graphical abstract

      The figure presents the snapshots of the shape of the two interactive red blood cells at T = 31. Numerical results illustrate that the leading cell always has the larger translation velocity and deformation; on the contrary, the following cells move slower and deform lesser. The motions of the cells tend to reduce the difference among the cells both on the shape and velocity.