International Journal for Numerical Methods in Fluids

Cover image for Vol. 73 Issue 8

20 November 2013

Volume 73, Issue 8

Pages 693–764

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Implementation of all-Mach Roe-type schemes in fully implicit CFD solvers – demonstration for wind turbine flows (pages 693–728)

      M. Carrión, M. Woodgate, R. Steijl and G. Barakos

      Version of Record online: 10 JUN 2013 | DOI: 10.1002/fld.3818

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      This paper presents the implementation of an all-Mach scheme in the implicit CFD solver of Liverpool. The scheme was presented by F. Rieper in 2011, and it has so far been used with explicit schemes. The paper details the development of an analytical, approximate Jacobian for the implicit CFD solver employed. The Jacobian resulted in efficient computations of low Mach number flows ranging from aerofoils to a wind turbine blade. The following figure presents the obtained wake of the wind turbine blade in comparisons with experimental measurements obtained during the MEXICO research project. The implicit solver, combined with the all-Mach scheme is suitable for the analysis of low and high-speed flows without the need for numerical tuning of the solver's parameters and with good efficiency in convergence.

    2. Numerical simulation of particle-laden flows by the residual-based variational multiscale method (pages 729–749)

      Gabriel M. Guerra, Souleymane Zio, Jose J. Camata, Fernando A. Rochinha, Renato N. Elias, Paulo L.B. Paraizo and Alvaro L.G.A. Coutinho

      Version of Record online: 20 JUN 2013 | DOI: 10.1002/fld.3820

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      Particle-laden flows exhibit complex dynamics, resulting from the interplay of turbulence and the ability of the particles to move relatively to the carrying fluid, to settle or to be reentrained. The residual-based variational multiscale method produces good quality simulations in meshes of reasonable size, with much less effort than direct numerical simulations.

    3. High-resolution methods for preserving the sum of mass fractions: improved χ-scheme and an alternative (pages 750–764)

      Madhava Syamlal and Sofiane Benyahia

      Version of Record online: 9 JUN 2013 | DOI: 10.1002/fld.3821

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      The χ —scheme is used with high resolution convection schemes to ensure that the sum of chemical species mass fractions add to one. We show that this scheme degrades to a diffusive first order when a chemical species vanishes from the mixture, and we propose a remedy to this problem. Also, a computationally efficient alternative scheme is proposed that shows improvements in the accuracy and the computational time.