International Journal for Numerical Methods in Fluids

Cover image for Vol. 73 Issue 1

10 September 2013

Volume 73, Issue 1

Pages 1–102

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Noniterative interface reconstruction algorithms for volume of fluid method (pages 1–18)

      T.G. Vignesh and Shamit Bakshi

      Article first published online: 19 MAR 2013 | DOI: 10.1002/fld.3787

      Thumbnail image of graphical abstract

      This paper presents noniterative interface reconstruction algorithms. The noniterative algorithms are very fast, and with the piecewise linear algorithms, it was possible to reconstruct volume of fluid within the machine tolerance. The quadratic algorithm gives a more accurate estimate of the length of the interface.

    2. About the formulation, verification and validation of the hypersonic flow solver Eilmer (pages 19–57)

      R.J. Gollan and P.A. Jacobs

      Article first published online: 22 MAR 2013 | DOI: 10.1002/fld.3790

      Thumbnail image of graphical abstract

      A description of a finite-volume code for the simulation of transient compressible flows is given. The verification and validation of this code for use in hypersonics applications is demonstrated with a detailed set of case studies. An important lesson is provided about the utility of experimental data for validation of hypersonic flow solvers.

    3. A high-order scheme for the incompressible Navier–Stokes equations with open boundary condition (pages 58–73)

      Z. Sheng, M. Thiriet and F. Hecht

      Article first published online: 22 MAR 2013 | DOI: 10.1002/fld.3792

      Thumbnail image of graphical abstract

      We propose a new boundary condition for the pressure Poisson equation after replacing the incompressibility constraint by the pressure Poisson equation. Hence, we obtain the numerical scheme to solve the incompressible Navier–Stokes equations with open boundary condition. The new scheme can obtain high-order accuracy.

    4. A mass-fraction-based interface-capturing method for multi-component flow (pages 74–102)

      Z. D. Wu, L. Sun and Z. Zong

      Article first published online: 27 MAY 2013 | DOI: 10.1002/fld.3805

      Thumbnail image of graphical abstract

      A quasi-conservative interface-capturing method based on mass fraction is developed to solve the Riemann problem in a multi-component compressible flow. The method is simple and relaxed; it can be extended to m-component fluid mixture by using only m + 4 equations. Numerical examples show that the mass fraction model performs well in the multi-component Riemann problem with very different EOSs and extreme initial conditions.