International Journal for Numerical Methods in Fluids

Cover image for Vol. 75 Issue 1

10 May 2014

Volume 75, Issue 1

Pages 1–80

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method (pages 1–22)

      Varun Shankar, Grady B. Wright, Aaron L. Fogelson and Robert M. Kirby

      Version of Record online: 29 JAN 2014 | DOI: 10.1002/fld.3880

      Thumbnail image of graphical abstract

      We present a new numerical method based on radial basis function-generated finite differences for the simulation of reaction–diffusion equations on the surfaces of platelets embedded in 2D domains. We also extend the augmented forcing point method (an existing method for simulating diffusion equations on Cartesian grids in irregular domains) with symmetric Hermite interpolation to remove some of its limitations. We present results showing second-order convergence for our method on coupled problems involving diffusion both on and off platelet surfaces.

    2. A finite element/volume method model of the depth-averaged horizontally 2D shallow water equations (pages 23–41)

      Hidekazu Yoshioka, Koichi Unami and Masayuki Fujihara

      Version of Record online: 31 JAN 2014 | DOI: 10.1002/fld.3882

      Thumbnail image of graphical abstract

      This study develops a new finite element/volume method model of the depth-averaged horizontally 2D shallow water equations. The model relies only on a simple staggered discretization method. A series of test problems reveal its sufficiently high accuracy and versatility to simulate transcritical flows involving shocks under both identical and experimental situations.

    3. Enhancing water level prediction through model residual correction based on Chaos theory and Kriging (pages 42–62)

      Xuan Wang and Vladan Babovic

      Version of Record online: 4 FEB 2014 | DOI: 10.1002/fld.3883

      Thumbnail image of graphical abstract

      A hybrid data assimilation scheme that combines modified local model and approximated ordinary kriging has been proposed. The flowchart is shown in Figure A1, and the conceptual sketch of the proposed technique is shown in Figure A2. It is carried out offline and can correct the model output through residual correction.

      Results indicate that resulting prediction accuracy can be significantly improved for all locations of interest independently of the forecast horizon.

    4. An immersed boundary method for fluid flows around rigid objects (pages 63–80)

      A. Jendoubi, D. Yakoubi, A. Fortin and C. Tibirna

      Version of Record online: 14 FEB 2014 | DOI: 10.1002/fld.3884

      Thumbnail image of graphical abstract

      We present an immersed boundary method for solving fluid flow problems in the presence of static and moving rigid objects. At each time step, a base mesh is locally modified to provide a new mesh fitting the boundary of the moving rigid object. Edge swapping is used to enhance the quality of the elements. The Navier–Stokes equations are then solved on this new mesh. This method allows to solve the flow around a moving airfoil as illustrated in Figure 1.

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