International Journal for Numerical Methods in Fluids

Cover image for Vol. 74 Issue 5

20 February 2014

Volume 74, Issue 5

Pages 313–385

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Efficient second-order time integration for single-species aerosol formation and evolution (pages 313–334)

      Christoph Winkelmann, Markus Nordlund, Arkadiusz K. Kuczaj, Steffen Stolz and Bernard J. Geurts

      Version of Record online: 18 OCT 2013 | DOI: 10.1002/fld.3851

      Thumbnail image of graphical abstract

      A new second-order time-integration method for the nucleation, evaporation, and condensation processes is proposed and analyzed. It accurately represents the dynamical consequences of the fast nucleation process, while retaining numerical efficiency. Computational efficiency is demonstrated in detail and illustrated, for example, a front of rapid nucleation.

    2. Accuracy of high-order density-based compressible methods in low Mach vortical flows (pages 335–358)

      S. Shanmuganathan, D. L. Youngs, J. Griffond, B. Thornber and R. J. R. Williams

      Version of Record online: 23 OCT 2013 | DOI: 10.1002/fld.3853

      Thumbnail image of graphical abstract

      A new, well-posed, two-mode Kelvin–Helmholtz test problem is proposed, which is designed to verify the accuracy of modern compressible schemes at a low grid resolution and low Mach numbers. This paper presents the performance of several numerical schemes in four independent codes at very low Mach numbers, and results demonstrate clearly that a low Mach correction is required for all algorithms except the Lagrange-remap approach, where dissipation is independent of Mach number.

    3. Efficient stochastic FEM for flow in heterogeneous porous media. Part 1: random Gaussian conductivity coefficients (pages 359–385)

      L. Traverso, T.N. Phillips and Y. Yang

      Version of Record online: 31 OCT 2013 | DOI: 10.1002/fld.3854

      Thumbnail image of graphical abstract

      Efficient iterative methods for solving the linear systems of equations arising from stochastic FEMs for single-phase fluid flow in porous media are described. Efficient block Gauss–Seidel preconditioners are proposed that are robust for problems in which the conductivity coefficient has large standard deviation. The figure shows that for a fixed value of the standard deviation, there is linear relationship between the number of iterations and the CPU time, with the best convergence rate obtained when a single Gauss–Seidel iteration is used in the preconditioner.