International Journal for Numerical Methods in Fluids

Cover image for Vol. 72 Issue 9

30 July 2013

Volume 72, Issue 9

Pages 913–1013

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Absorbing boundary conditions: a spectral collocation approach (pages 913–936)

      T. Benacchio and L. Bonaventura

      Article first published online: 4 JAN 2013 | DOI: 10.1002/fld.3768

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      We introduce a new spectral collocation discretisation for the one-dimensional shallow water equations on semi-infinite domains. A semi-implicit, semi-Lagrangian approach is used for time discretisation. We use the method to implement extensions of finite size domain fluid dynamics models for environmental applications with damping layers of essentially unlimited size. The flexibility of the proposed scheme allows for a much lower computational cost with respect to standard approaches.

    2. A hybrid DSMC/Navier–Stokes frame to solve mixed rarefied/nonrarefied hypersonic flows over nano-plate and micro-cylinder (pages 937–966)

      Masoud Darbandi and Ehsan Roohi

      Article first published online: 4 FEB 2013 | DOI: 10.1002/fld.3769

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      Developing a novel one-way hybrid algorithm, the DSMC and Navier–Stokes (NS) solvers are unified in one framework to solve the rarefied flows more robustly. Using this algorithm, we do not need a pure DSMC simulator to solve the entire shock wave region; although the shock wave region is a non-equilibrium one. We show that the current algorithm can predict the surficial properties very accurately while spending much less computational time comparing with the coupled DSMS–NS or pure DSMC solvers.

    3. An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows (pages 967–993)

      Fayssal Benkhaldoun, Imad Elmahi, Saida Sari and Mohammed Seaid

      Article first published online: 15 JAN 2013 | DOI: 10.1002/fld.3771

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      The aim of this work is to develop a well-balanced adaptive finite-volume method for the accurate numerical solution of the equations governing suspended sediment and bed load transport in two-dimensional shallow-water flows. The method uses unstructured meshes and incorporates upwinded numerical fluxes and slope limiters to provide sharp resolution of steep sediment concentrations and bed load gradients that may form in the approximate solutions.

    4. Application of hybrid Cartesian grid and gridless approach to moving boundary flow problems (pages 994–1013)

      Xiao Wei Cai, Jun Jie Tan, Xin Jian Ma, Min Zhang and Hua Sheng Wang

      Article first published online: 24 JAN 2013 | DOI: 10.1002/fld.3775

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      The paper presents a hybrid Cartesian grid and gridless approach to solve unsteady moving boundary flow problems. Four cases were conducted to examine the applicability, accuracy and robustness of the hybrid approach. The computational results show that the hybrid approach is of potential to solve the moving boundary flow problems.