International Journal for Numerical Methods in Fluids

Cover image for Vol. 74 Issue 2

20 January 2014

Volume 74, Issue 2

Pages 73–152

  1. Research Articles

    1. Top of page
    2. Research Articles
    3. Corrigendum
    1. A fictitious domain approach for the Stokes problem based on the extended finite element method (pages 73–99)

      Sébastien Court, Michel Fournié and Alexei Lozinski

      Article first published online: 27 AUG 2013 | DOI: 10.1002/fld.3839

      Thumbnail image of graphical abstract

      In this work, we use a mixed FEM, based on a fictitious domain approach, for a Stokes problem with boundary Dirichlet conditions. The multiplier associated with the Dirichlet condition imposed at a fluid–structure interface sees its convergence stabilized by using an augmented Lagrangian method. A theoretical analysis is carried out, and numerical simulations are performed to underline the convergence and robustness of our method with respect to the geometric configurations.

    2. A Mach-uniform preconditioner for incompressible and subsonic flows (pages 100–112)

      Onur Bas, Ismail H. Tuncer and Unver Kaynak

      Article first published online: 28 AUG 2013 | DOI: 10.1002/fld.3841

      Thumbnail image of graphical abstract

      This article presents a novel preconditioning matrix that preserves the strong conservation form of Euler equations for compressible flows and recovers the artificial compressibility method equations in the case of incompressible flows with zero Mach number. For this purpose, conservation of energy equation is modified to enforce divergence free velocity field.

    3. Accuracy and stability analysis of a second-order time-accurate loosely coupled partitioned algorithm for transient conjugate heat transfer problems (pages 113–133)

      V. Kazemi-Kamyab, A. H. van Zuijlen and H. Bijl

      Article first published online: 23 SEP 2013 | DOI: 10.1002/fld.3842

      Thumbnail image of graphical abstract

      For transient conjugate heat transfer, a loosely coupled algorithm is presented where Crank–Nicolson is used for time integration. Second-order temporal accuracy is achieved using a predictor–corrector approach. The need for subiterations to retrieve the order is avoided, hence increasing the algorithm's computational efficiency. An analytical stability criterion is also obtained for the algorithm. The loosely coupled algorithm performs best (accuracy and stability wise) when the ratio of thermal effusivities of the coupled domains is much smaller than unity.

    4. Polygonal finite elements for incompressible fluid flow (pages 134–151)

      Cameron Talischi, Anderson Pereira, Glaucio H. Paulino, Ivan F.M. Menezes and Márcio S. Carvalho

      Article first published online: 25 OCT 2013 | DOI: 10.1002/fld.3843

      Thumbnail image of graphical abstract

      We present a low-order mixed finite element formulation for incompressible flow simulations on convex polygonal meshes that satisfies the inf-sup condition. As such, the method does not admit spurious pressure modes or exhibit locking. From a practical point of view, its implementation is classical and does not require any special treatment. Numerical results are presented for both incompressible Stokes and stationary Navier–Stokes problems to confirm the stability and convergence of the method.

  2. Corrigendum

    1. Top of page
    2. Research Articles
    3. Corrigendum
    1. Three-dimensional vortex simulation of unsteady flow in hydraulic turbines (page 152)

      Baoshan Zhu, Hong Wang, Longbu Wang and Shuliang Cao

      Article first published online: 21 NOV 2013 | DOI: 10.1002/fld.3869

      This article corrects:

      Three-dimensional vortex simulation of unsteady flow in hydraulic turbines

      Vol. 69, Issue 10, 1679–1700, Article first published online: 11 AUG 2011