International Journal for Numerical Methods in Fluids

Cover image for Vol. 71 Issue 6

28 February 2013

Volume 71, Issue 6

Pages 671–804

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Using a fully coupled flow and geomechanical simulator to model injection into heavy oil reservoirs (pages 671–686)

      Hao Huang, R. Chick Wattenbarger, Xiuli Gai, William P. Brown, Owen J. Hehmeyer, Jianlin Wang and Ted A. Long

      Article first published online: 23 APR 2012 | DOI: 10.1002/fld.3679

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      This paper proposed a numerical formulation, which can fully couple multicomponent porous flow and nonlinear geomechanics. The simulation results revealed that geomechanical factors, such as in situ stress anisotropy or uneven deformation of reservoir rock and attached impermeable layer, can result in skewed plastic strain and, hence, alter the sweep of the injected fluid. The results also show that the coupled geomechanics simulation gives rather different transient pressure response from that of uncoupled simulation.

    2. An efficient edge-based level set finite element method for free surface flow problems (pages 687–716)

      R. Rossi, A. Larese, P. Dadvand and E. Oñate

      Article first published online: 15 MAY 2012 | DOI: 10.1002/fld.3680

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      We present an efficient method for the solution of free surface flow problems using level set and a parallel edge-based finite element method. The main new features are the technique used for the imposition of the pressure on the free surface and the proposal of an efficient volume- correction approach.

    3. Finite volume methods for unidirectional dispersive wave models (pages 717–736)

      D. Dutykh, Th. Katsaounis and D. Mitsotakis

      Article first published online: 21 MAY 2012 | DOI: 10.1002/fld.3681

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      We extend the framework of the finite volume method to the KdV-BBM equation for the discretization in space, whereas we make use of explicit and implicit-explicit time stepping methods for the time integration. We study the dynamics of the solitary waves of this model along with the properties of the solution near the small dispersion limit.

    4. One-dimensional shock-capturing for high-order discontinuous Galerkin methods (pages 737–755)

      E. Casoni, J. Peraire and A. Huerta

      Article first published online: 5 OCT 2012 | DOI: 10.1002/fld.3682

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      Figure 1 compares the artificial diffusion technique proposed here with high-order limiters (described as moments’ in the figures), with the same number of degrees of freedom. The artificial diffusion technique outperforms the high-order limiting scheme, demonstrating that it seems more beneficial to increase the degree of approximation than to refine the mesh in order to obtain accurate solutions.

    5. Treatment of the small time instability in the finite element analysis of fluid structure interaction problems (pages 756–771)

      Hamed Afrasiab and Mohammad R. Movahhedy

      Article first published online: 27 MAY 2012 | DOI: 10.1002/fld.3684

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      In this paper, the combination of the variational multiscale method with appropriate stabilization parameters is proposed to handle the so-called small time step instability in the finite element analysis of the fluid part in fluid-structure interaction problems in which a high-frequency vibrating structure interacts with an incompressible fluid. Such a situation is common in many microfluid manipulating devices. The capability of the employed approach has been demonstrated through finite element simulation of a benchmark example and two different micropumps.

    6. Large eddy simulation and a simple wall model for turbulent flow calculation by a particle method (pages 772–787)

      Jun Arai, Seiichi Koshizuka and Koji Murozono

      Article first published online: 15 MAY 2012 | DOI: 10.1002/fld.3685

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      Turbulent channel flows and the flow around a cubic obstacle were calculated by the moving particle semi-implicit method with the subparticle-scale turbulence model and the wall model. The mean velocity profile and the root mean square of turbulent fluctuations agreed with the corresponding experimental results. We also surveyed the influence of numerical oscillation, which often appeared in Lagrangian particle methods, in the simulation of turbulent flows.

    7. Development of a compressive surface capturing formulation for modelling free-surface flow by using the volume-of-fluid approach (pages 788–804)

      J. A. Heyns, A. G. Malan, T. M. Harms and O. F. Oxtoby

      Article first published online: 6 JUN 2012 | DOI: 10.1002/fld.3694

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      This study presents the development of a new volume-of-fluid free-surface capturing formulation, which combines a blended higher resolution scheme with the addition of an artificial compressive term to the volume-of-fluid equation. The formulation reduces numerical smearing of the interface associated with higher resolution schemes at higher Courant numbers, while maintaining the integrity of the interface shape.

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