International Journal for Numerical Methods in Fluids

Cover image for Vol. 73 Issue 2

20 September 2013

Volume 73, Issue 2

Pages 103–203

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Simulation of the Navier–Stokes equations in three dimensions with a spectral collocation method (pages 103–129)

      Christopher J. Subich, Kevin G. Lamb and Marek Stastna

      Article first published online: 20 MAR 2013 | DOI: 10.1002/fld.3788

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      This work describes a nonlinear, three-dimensional spectral collocation method for the simulation of the incompressible Navier–Stokes equations under the Boussinesq approximation. This model implements bottom topography via coordinate mapping, and it permits simulation of boundary-layer dynamics in environmental and geophysical flows. A geometric-multigrid based finite-difference preconditioner is used to ensure performance on parallel systems, giving resolution-independent convergence rates.

    2. A thermodynamic and dynamic subgrid closure model for two-material cells (pages 130–151)

      Mingyu Sun

      Article first published online: 20 MAR 2013 | DOI: 10.1002/fld.3791

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      A new subgrid closure model for two-material cells is proposed. The conservative quantities of the entire cell are apportioned between two materials, and then, pressure and velocity are fully or partially equilibrated by modeling subgrid wave interactions. The generality, robustness, and efficiency of the model make it useful in principle in algorithms, such as ALE methods, volume of fluid methods, and even some mixture models, for compressible two-phase flow computations.

    3. Assessment of stretched vortex subgrid-scale models for LES of incompressible inhomogeneous turbulent flow (pages 152–171)

      Dinesh A. Shetty and Steven H. Frankel

      Article first published online: 15 APR 2013 | DOI: 10.1002/fld.3793

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      The physical space version of the stretched vortex subgrid scale model is tested in LES of the turbulent lid-driven cubic cavity flow by using higher order finite-difference methods. The effects of different vortex orientation models and subgrid turbulence spectrums are assessed.

    4. On the modeling and simulation of a laser-induced cavitation bubble (pages 172–203)

      Ali Zein, Maren Hantke and Gerald Warnecke

      Article first published online: 15 APR 2013 | DOI: 10.1002/fld.3796

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      We present a numerical investigation for the collapse and rebound of a laser-induced cavitation bubble in liquid water. The compressibility of the liquid and vapor is involved. In addition, great focus is devoted to study the effects of phase transition and the existence of a noncondensable gas on the dynamics of the collapsing bubble. We compare our results with experimental ones. Also our results confirm some expected physical phenomena.

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