International Journal for Numerical Methods in Fluids

Cover image for Vol. 71 Issue 8

20 March 2013

Volume 71, Issue 8

Pages 939–1072

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Nonlinear acceleration of coupled fluid–structure transient thermal problems by Anderson mixing (pages 939–959)

      V. Ganine, N. J. Hills and B. L. Lapworth

      Article first published online: 16 MAY 2012 | DOI: 10.1002/fld.3689

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      The Anderson mixing method is applied to solve a transient conjugate heat transfer fluid–structure problem. The method is compared with a number of partitioned Jacobian–free iterative techniques and shown to be superior to them in terms of fluid solver invocation counts.

    2. Numerical simulation of a single rising bubble by VOF with surface compression (pages 960–982)

      J. Klostermann, K. Schaake and R. Schwarze

      Article first published online: 16 JUL 2012 | DOI: 10.1002/fld.3692

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      The direct volume of fluid method based on a surface compression approach that is implemented in OpenFOAM® is evaluated using the two-dimensional rising bubble benchmark. The capabilities with regard to the preservation of sharp interfaces, boundedness, mass conservation and low computational time are very good. However, some limitations regarding the occurrence of parasitic currents, bad pressure jump prediction and bad grid convergence have been observed.

    3. Monte Carlo simulations on the thermodynamic properties of high-density gases (pages 983–990)

      Shide Hu

      Article first published online: 13 JUN 2012 | DOI: 10.1002/fld.3695

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      Monte Carlo simulations could produce accurate thermodynamic properties of high-density fluids as long as the intermolecular potential is modeled precisely. And understanding the dependence on the intermolecular potential in the simulations would be helpful, to improve the accuracy of Monte Carlo simulations. The thermodynamic properties of hydrogen and methane at high-density conditions, obtained in this work, would be of interest to the energy industry.

    4. Implicit solvers using stabilized mixed approximation (pages 991–1006)

      Qifeng Liao and David Silvester

      Article first published online: 22 JUN 2012 | DOI: 10.1002/fld.3697

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      In this work, we extend our state-of-the-art implicit solver methodology to cover the case of stabilized lowest-order mixed approximation.

    5. An implicit meshless method for application in computational fluid dynamics (pages 1007–1028)

      D. J. Kennett, S. Timme, J. Angulo and K. J. Badcock

      Article first published online: 20 JUN 2012 | DOI: 10.1002/fld.3698

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      This paper presents a solver method for the Euler, laminar, and Reynolds-Averaged Navier-Stokes equations (with Spalart-Allmaras turbulence model) for steady and unsteady flow simulations using computational fluid dynamics.

      The solver uses the meshless method for the spatial discretisation; the equations are then solved in time using an implicit method, with approximate, analytical Jacobians.

      Comparisons of solver accuracy and efficiency are made with linear and quadratic polynomial basis functions on various point distributions.

    6. A projection method for the spectral solution of non-homogeneous and incompressible Navier–Stokes equations (pages 1029–1054)

      Bastien Di Pierro and Malek Abid

      Article first published online: 22 JUN 2012 | DOI: 10.1002/fld.3700

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      A parallel, spectral and second-order time-accurate method for solving the incompressible and variable density Navier-Stokes equations is developed. The method is well suited for finite thickness density layers and is very efficient, especially for three-dimensional computations. It is based on an exact projection technique to enforce incompressibility.

    7. Numerical flux functions for Reynolds-averaged Navier–Stokes and turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver (pages 1055–1072)

      Marcel Wallraff, Tobias Leicht and Markus Lange-Hegermann

      Article first published online: 28 JUN 2012 | DOI: 10.1002/fld.3702

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      Several approximate Riemann solvers are formulated using an eigen-decomposition of the convective flux of the completely coupled Reynolds-averaged Navier-Stokes and turbulence model equations. The effect of the different strategies on the solution accuracy within a discontinuous Galerkin discretization is investigated with numerical examples. In this context of turbulent flow, a p-multigrid framework with a backward-Euler smoother using line-implicit preconditioning is demonstrated to be less effective than might be expected from recent findings by other authors.