International Journal for Numerical Methods in Fluids

Cover image for Vol. 72 Issue 3

30 May 2013

Volume 72, Issue 3

Pages 269–402

  1. Review

    1. Top of page
    2. Review
    3. Research Articles
    1. SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies (pages 269–300)

      Olivier Delestre, Carine Lucas, Pierre-Antoine Ksinant, Frédéric Darboux, Christian Laguerre, T.-N.-Tuoi Vo, François James and Stéphane Cordier

      Version of Record online: 25 OCT 2012 | DOI: 10.1002/fld.3741

      Thumbnail image of graphical abstract

      A dataset of analytic solutions to the shallow water equations. SWASHES is designed for code benchmarking. SWASHES is a free software: you have access to the source code; you can modify it; you can contribute to its development.

      Corrected by:

      Erratum: SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies

      Vol. 74, Issue 3, 229–230, Version of Record online: 28 NOV 2013

  2. Research Articles

    1. Top of page
    2. Review
    3. Research Articles
    1. A collocated grid, projection method for time-accurate calculation of low-Mach number variable density flows in general curvilinear coordinates (pages 301–319)

      Mahdi Kooshkbaghi and Bamdad Lessani

      Version of Record online: 13 SEP 2012 | DOI: 10.1002/fld.3734

      Thumbnail image of graphical abstract

      A robust method for time-accurate calculation of variable density, low-Mach number flows is proposed. The collocated grid arrangement is used, which is easier to implement in complex geometries. The flux interpolation technique is used to avoid the odd–even decoupling of the pressure field. Figure 14 shows the computational mesh used for DNS of non-isothermal turbulent channel flow.

    2. A gas-kinetic scheme for the modified Baer–Nunziato model of compressible two-phase flow (pages 320–340)

      L. Pan, G. P. Zhao and S. H. Wang

      Version of Record online: 12 OCT 2012 | DOI: 10.1002/fld.3738

      Thumbnail image of graphical abstract

      In this paper, a two-phase Bhatnagar–Gross–Krook model is constructed. On the basis of this model, a gas-kinetic scheme for the modified Baer–Nunziato model is proposed. The numerical tests are presented to validate the scheme, and the figures are the numerical results of the fifth case for the gaseous phase.

    3. Numerical prediction of turbulent flows using Reynolds-averaged Navier–Stokes and large-eddy simulation with uncertain inflow conditions (pages 341–358)

      Pietro Marco Congedo, Cedric Duprat, Guillaume Balarac and Christophe Corre

      Version of Record online: 19 OCT 2012 | DOI: 10.1002/fld.3743

      Thumbnail image of graphical abstract

      The paper performs a comparison of the Reynolds-averaged Navier–Stokes (RANS) k − ε model and the large-eddy simulation (LES) dynamic Smagorinsky model for a turbulent flow where the influence of the experimental uncertainties is analyzed using a non-intrusive polynomial chaos. Measured quantities are compared with the RANS and LES predictions to check if the differences can be explained with the inherent uncertainty. The RANS predictions are found in poor agreement with experimental results for swirling flow, whereas the LES prediction remains inside the measurement intervals.

    4. An adaptive enrichment algorithm for advection-dominated problems (pages 359–374)

      Rémi Abgrall and Arnaud Krust

      Version of Record online: 9 NOV 2012 | DOI: 10.1002/fld.3745

      Thumbnail image of graphical abstract

      Error convergence with adapted polynomials (PbBurgers).

    5. A non-conforming least-squares finite element method for incompressible fluid flow problems (pages 375–402)

      Pavel Bochev, James Lai and Luke Olson

      Version of Record online: 7 NOV 2012 | DOI: 10.1002/fld.3748

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      We formulate and study numerically a new locally conservative least-squares FEM for the velocity–vorticity–pressure Stokes system, which uses a piecewise divergence-free basis for the velocity and standard C0 elements for the vorticity and pressure. The method achieves nearly perfect conservation of mass on a series of challenging test problems. Numerical results show excellent agreement with benchmark lid-driven cavity results. We also propose a simple diagonal pre-conditioner for the dV–VP formulation, which significantly reduces the condition number of the least-squares FEM problem.

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