International Journal for Numerical Methods in Fluids

Cover image for Vol. 72 Issue 12

30 August 2013

Volume 72, Issue 12

Pages 1219–1320

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Explicit reduced-order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations (pages 1219–1243)

      Joan Baiges, Ramon Codina and Sergio Idelsohn

      Article first published online: 11 FEB 2013 | DOI: 10.1002/fld.3777

      Thumbnail image of graphical abstract

      In this work, we present an explicit formulation for reduced-order models of the stabilized finite element approximation of the incompressible Navier–Stokes equations. The main advantage of this explicit treatment is that it allows for the easy use of hyper-reduced-order models, because only a single vector needs to be recovered by means of a gappy data reconstruction procedure. Numerical examples compare the reduced-order model results with the full-order model velocity and pressure fields.

    2. Hybridizable discontinuous Galerkin p-adaptivity for wave propagation problems (pages 1244–1262)

      Giorgio Giorgiani, Sonia Fernández-Méndez and Antonio Huerta

      Article first published online: 20 FEB 2013 | DOI: 10.1002/fld.3784

      Thumbnail image of graphical abstract

      A p-adaptive hybridizable discontinuous Galerkin method based on error estimation is proposed for the solution of scattering problems (Helmholtz for nonconstant coefficients in unbounded domains). This approach outperforms high-order continuous Galerkin. The figure shows the final distribution of the approximation order p for the desired accuracy in a challenging engineering problem: wave propagation in Barcelona's harbor.

    3. A C2-continuous high-resolution upwind convection scheme (pages 1263–1285)

      L. Corrêa, G.A. B. Lima, M.A. C. Candezano, M.P. S. Braun, C.M. Oishi, H.A. Navarro and V.G. Ferreira

      Article first published online: 20 FEB 2013 | DOI: 10.1002/fld.3785

      Thumbnail image of graphical abstract

      Eight-degree polynomial upwind scheme (EPUS) is an alternative upwind scheme for stable computation of fluid dynamics algorithms. It is a three-point stencil for numerical flux reconstruction of class C2 and formulated by employing the convection boundedness criterion and total variation diminishing stability criteria. The advantage of the EPUS scheme is that it adopts a free parameter that can be used to control dissipation and dispersion. The EPUS scheme is simple implement in existent codes, transports scalars maintaining nonoscillatory profiles, and provides accurate solutions to complex fluid flows.

    4. Coupling of finite volume and finite element subdomains using different time integrators (pages 1286–1306)

      Zhe Li, Alain Combescure and Francis Leboeuf

      Article first published online: 19 MAR 2013 | DOI: 10.1002/fld.3786

      Thumbnail image of graphical abstract

      In this paper, we propose a time integrator coupling strategy that can be used to couple finite volume and finite element subdomains. This method relies on the use of the appropriate compatibility relation of the fluid equations. By ensuring the zero interface energy condition, we can preserve the minimum order of accuracy in time as well as the stability.

    5. Comparison of non-reflective boundary conditions for a free-rising turbulent axisymmetric plume (pages 1307–1320)

      T. Hattori, S.E. Norris, M.P. Kirkpatrick and S.W. Armfield

      Article first published online: 19 MAR 2013 | DOI: 10.1002/fld.3789

      Thumbnail image of graphical abstract

      This paper reports on the comparative study of various radiation type non-reflective outflow boundary conditions and of the standard boundary condition where the Neumann condition with zero normal derivative is applied for the simulation of a turbulent plume flow. The results showed a one-dimensional scheme in which advection and diffusion terms are included in the radiation equation as the optimum approach for the plume simulation.

SEARCH

SEARCH BY CITATION