International Journal for Numerical Methods in Fluids

Cover image for Vol. 73 Issue 4

10 October 2013

Volume 73, Issue 4

Pages 307–408

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Reduced sampling and incomplete sensitivity for low-complexity robust parametric optimization (pages 307–322)

      Bijan Mohammadi

      Article first published online: 4 APR 2013 | DOI: 10.1002/fld.3798

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      An example of low-complexity robust shape optimization using optimal sampling of the functioning parameter range, incomplete sensitivity and target-based weighting.

    2. A meshless finite point method for three-dimensional analysis of compressible flow problems involving moving boundaries and adaptivity (pages 323–343)

      Enrique Ortega, Eugenio Oñate, Sergio Idelsohn and Roberto Flores

      Article first published online: 24 APR 2013 | DOI: 10.1002/fld.3799

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      An application of the finite point method to compressible flow problems involving moving or deformable boundaries is presented in this work. The methodology proposed combines meshless adaptivity with a typical domain deformation technique in a cost effective way. Typical moving/deformable boundary problems and a fluid structure interaction analysis involving static aeroelasticity are provided. The results show the potential of the meshless technique to solve practical problems in engineering.

    3. Quantitative comparison of Taylor flow simulations based on sharp-interface and diffuse-interface models (pages 344–361)

      S. Aland, S. Boden, A. Hahn, F. Klingbeil, M. Weismann and S. Weller

      Article first published online: 30 APR 2013 | DOI: 10.1002/fld.3802

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      We compare simulations of Taylor flow, that is, pressure-driven flow of elongated, bullet-shaped bubbles in a narrow channel. Four different codes based on two different mathematical models are compared against each other and to experimental data obtained by X-ray tomography. Despite the differences in modeling, good agreement is demonstrated in all instances.

    4. The Multidimensional Optimal Order Detection method in the three-dimensional case: very high-order finite volume method for hyperbolic systems (pages 362–392)

      S. Diot, R. Loubère and S. Clain

      Article first published online: 24 MAY 2013 | DOI: 10.1002/fld.3804

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      In this paper, we extend the Multidimensional Optimal Order Detection (MOOD) method, both the convection equation, and the Euler system to 3D mixed meshes and simplify the u2 detection process previously developed. The optimal high order of accuracy is numerically assessed on smooth solutions, whereas spurious oscillations near singularities are prevented. Finally, the intrinsic positivity-preserving property of the MOOD method is confirmed in 3D, and we provide computational cost estimates that supports the MOOD method competitiveness.

    5. Weighted averaged equations for modeling velocity profiles of 1D steady open channel flows (pages 393–408)

      Cenling Xia, Luigi Benedicenti and Tom Field

      Article first published online: 28 MAY 2013 | DOI: 10.1002/fld.3806

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      A system of weighted averaged Reynolds equations was developed, and an indirect scheme was proposed to address the essential details of vertical distributions of horizontal velocity for one-dimensional steady open-channel flow. The weighted averaged velocities were solved through the weighed averaged equations; then the velocity profile variables were solved through the expansion equations of the weighted averaged velocities.

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