International Journal for Numerical Methods in Fluids

Cover image for Vol. 75 Issue 3

30 May 2014

Volume 75, Issue 3

Pages 155–230

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. A Chimera method for the incompressible Navier–Stokes equations (pages 155–183)

      G. Houzeaux, B. Eguzkitza, R. Aubry, H. Owen and M. Vázquez

      Version of Record online: 19 FEB 2014 | DOI: 10.1002/fld.3886

      Thumbnail image of graphical abstract

      The appealing characteristics of the Chimera method enable many applications: simplified mesh generation, local refinement, moving components, and optimization. The proposed implementation of the method consists in two steps: hole cutting of the background mesh and connection of the patch and background meshes with the so-called extension elements. The result is an overlapping and non-matching mesh, on which the Navier–Stokes equations are solved. It is versatile (PDE independent), implicit (no additional iterative loop), and parallel (it consists of adding elements).

    2. Efficient computation of the flow around single fluid particles using an artificial boundary condition (pages 184–204)

      D. Weirich, M. Köhne and D. Bothe

      Version of Record online: 17 FEB 2014 | DOI: 10.1002/fld.3890

      Thumbnail image of graphical abstract

      An artificial boundary condition for the simulation of flow around single fluid particles is introduced. On the basis of the decay behavior of velocity and pressure field, a Robin-type boundary condition is modeled that encodes the information of the domain geometry, thus allowing streamlines to cross the domain walls. This boundary condition reduces the influence of the domain boundary onto the flow field, allowing a reduction of the domain size by a factor of about two without loss of accuracy. The figure shows the streamlines around a rising bubble for a reference solution (black), with slip boundary condition (left), and with the ABC (right).

    3. High-resolution p-adaptive DG simulations of flows with moving shocks (pages 205–230)

      Konstantinos T. Panourgias, Andreas Papoutsakis and John A. Ekaterinaris

      Version of Record online: 26 FEB 2014 | DOI: 10.1002/fld.3893

      Thumbnail image of graphical abstract

      High-order accurate discontinuous Galerkin (DG) discretization is employed for RANS modeling of complex shock-dominated, unsteady flow generated by gas issuing from a shock tube nozzle. Implicit time marching is used to avoid CFL time step limitations and enable time accurate numerical solutions with large time steps. A unified limiting approach for three-dimensional unstructured meshes is applied for discontinuity capturing. Better resolution of vortical structures generated during the development of the flow is achieved by using p-type adaptive procedure.