International Journal for Numerical Methods in Fluids

Cover image for Vol. 76 Issue 3

30 September 2014

Volume 76, Issue 3

Pages 129–198

  1. Research Article

    1. Top of page
    2. Research Article
    3. Research Paper Presented at ANADE 2013: Advances in Numerical and Analytical Tools for Detached Flow Prediction
    4. Research Paper Presented at MULTIMAT 2013: Multi-Material Hydrodynamics Simulations
    1. A nodal Godunov method for Lagrangian shock hydrodynamics on unstructured tetrahedral grids (pages 129–146)

      J. Waltz, N. R. Morgan, T. R. Canfield, M. R. J. Charest and J. G. Wohlbier

      Version of Record online: 25 JUN 2014 | DOI: 10.1002/fld.3928

      Thumbnail image of graphical abstract

      We present a nodal Godunov method for Lagrangian shock hydrodynamics. The new method computes reliable solutions on tetrahedral cells for a number of standard test problems. The method also overcomes volume errors that are present in traditional Lagrangian schemes.

  2. Research Paper Presented at ANADE 2013: Advances in Numerical and Analytical Tools for Detached Flow Prediction

    1. Top of page
    2. Research Article
    3. Research Paper Presented at ANADE 2013: Advances in Numerical and Analytical Tools for Detached Flow Prediction
    4. Research Paper Presented at MULTIMAT 2013: Multi-Material Hydrodynamics Simulations
    1. Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile (pages 147–168)

      M. C. Iorio, L. M. González and E. Ferrer

      Version of Record online: 27 JUN 2014 | DOI: 10.1002/fld.3929

      Thumbnail image of graphical abstract

      In this work, various turbulent solutions of the two-dimensional and three-dimensional compressible Reynolds Averaged Navier–Stokes equations are analyzed using Global Stability theory. This analysis is motivated by the onset of flow unsteadiness for transonic buffet conditions. Results of the corresponding adjoint problem and the sensitivity map are provided. An extruded 3D geometry of the NACA0012 airfoil (see Figure 18) was also analyzed as a Triglobal stability case, confirming that the buffet onset is well detected.

    2. Low cost 3D global instability analysis and flow sensitivity based on dynamic mode decomposition and high-order numerical tools (pages 169–184)

      Esteban Ferrer, Javier de Vicente and Eusebio Valero

      Version of Record online: 8 JUL 2014 | DOI: 10.1002/fld.3930

      Thumbnail image of graphical abstract

      We explore the recently developed snapshot-based dynamic mode decomposition (DMD) technique to predict 3D linear global flow instabilities. We present direct and adjoint modes together with flow sensitivities for 3D complex geometries (i.e. an L-shaped cavity) obtained at a low computational cost using a high-order discontinuous Galerkin solver. We compare these DMD modal structures to DNS simulations and a BiGlobal approach showing very good agreement (as shown in Figure 3).

  3. Research Paper Presented at MULTIMAT 2013: Multi-Material Hydrodynamics Simulations

    1. Top of page
    2. Research Article
    3. Research Paper Presented at ANADE 2013: Advances in Numerical and Analytical Tools for Detached Flow Prediction
    4. Research Paper Presented at MULTIMAT 2013: Multi-Material Hydrodynamics Simulations
    1. A symmetry preserving dissipative artificial viscosity in r-z geometry (pages 185–198)

      Pavel Váchal and Burton Wendroff

      Version of Record online: 22 JUL 2014 | DOI: 10.1002/fld.3926

      Thumbnail image of graphical abstract

      We present a new artificial viscosity for staggered Lagrangian schemes in 2D-r-z geometry. The suggested viscous force is dissipative by construction, conserves both components of momentum, and preserves spherical symmetry on an equi-angular polar grid. This method turns out to be robust and performs well for spherically symmetric problems on various grid types, with no need for tinkering with problem-dependent or grid-dependent parameters.

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