International Journal for Numerical Methods in Fluids

Cover image for International Journal for Numerical Methods in Fluids

20 January 2013

Volume 71, Issue 2

Pages 135–268

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Hessian-based model reduction: large-scale inversion and prediction (pages 135–150)

      C. Lieberman, K. Fidkowski, K. Willcox and B. van Bloemen Waanders

      Article first published online: 18 JAN 2012 | DOI: 10.1002/fld.3650

    2. On the treatment of transient area variation in 1D discontinuous Galerkin simulations of train-induced pressure waves in tunnels (pages 151–174)

      C. Biotto, A. Proverbio, O. Ajewole, N. P. Waterson and J. Peiró

      Article first published online: 14 FEB 2012 | DOI: 10.1002/fld.3651

      Thumbnail image of graphical abstract

      To simulate the pressure wave generated by a train travelling through a tunnel, we implement a discontinuous Galerkin (DG) method for the solution of the one-dimensional equations of variable area flow. This formulation uses a spatial discretisation via Legendre polynomials of arbitrary degree, and the resulting semi-discrete system is integrated using an explicit Runge–Kutta scheme.

    3. On the efficient application of weighted essentially nonoscillatory scheme (pages 185–207)

      Xinrong Su, Daisuke Sasaki and Kazuhiro Nakahashi

      Article first published online: 22 FEB 2012 | DOI: 10.1002/fld.3655

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      In this paper, the efficient application of high-order weighted essentially nonoscillatory (WENO) reconstruction to the subsonic and transonic engineering problems is studied. On the basis of the physical considerations, two techniques are proposed to enhance the accuracy and efficiency of the WENO reconstruction.

    4. Monolithic Newton-multigrid solution techniques for incompressible nonlinear flow models (pages 208–222)

      H. Damanik, J. Hron, A. Ouazzi and S. Turek

      Article first published online: 6 MAR 2012 | DOI: 10.1002/fld.3656

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      We present special Newton-multigrid techniques for stationary incompressible nonlinear flow models discretized by the high-order Ladyzhenskaya, Babuška and Brezzi-stable Q2P1 element pair. We treat the resulting nonlinear and the corresponding linear discrete systems by a fully coupled monolithic approach to maintain high accuracy and robustness, particularly with respect to different rheological behaviors and also regarding different problem sizes and types of nonlinearity.

    5. A lattice Boltzmann method for viscous free surface waves in two dimensions (pages 223–248)

      Zhuangming Zhao, Ping Huang, Yineng Li and Junmin Li

      Article first published online: 12 MAR 2012 | DOI: 10.1002/fld.3660

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      The lattice Boltzmann equilibrium distribution functions are modified so that only the nonhydrostatic pressure is included. The hydrostatic part is added as a force term to the Lattice Boltzmann equation with a finite difference scheme. The free surface boundary condition for lattice Boltzmann equation is improved from previous study with higher accuracy. The interpolationsupplemented lattice Boltzmann method is introduced to simulate waves on arbitrary and nonuniform meshes, which much enhance the flexibility and the computational efficiency.

    6. Non-conforming finite elements for axisymmetric charged droplet deformation dynamics and Coulomb explosions (pages 249–268)

      A.J. Radcliffe

      Article first published online: 21 MAR 2012 | DOI: 10.1002/fld.3667

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      A novel non-conforming axisymmetric finite element scheme is presented and used for the calculation of the deformations of electrically charged viscous micro-droplets over time. After an initial examination of the solution convergence with mesh refinement for the Stokes system, the full Navier–Stokes equations are then solved in a predictor–corrector iterative fashion with moving meshes for the prolate and oblate deformations of droplets charged to, and beyond, the critical Rayleigh limit.