International Journal for Numerical Methods in Fluids

Cover image for Vol. 74 Issue 12

30 April 2014

Volume 74, Issue 12

Pages 857–934

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. On the accuracy of the calculation of transient growth in plane Poiseuille flow (pages 857–871)

      Shi Zhao and Stephen Duncan

      Article first published online: 15 JAN 2014 | DOI: 10.1002/fld.3875

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      Collocation methods are not sufficiently accurate to calculate the transient growth in plane Poiseuille flow, especially when the Reynolds number is low. Spurious eigenvalues with negative real parts of large magnitude and numerical integration errors are possible sources of the inaccuracy. These difficulties can be avoided by using a Galerkin method where the basis functions satisfy the boundary conditions.

    2. A stabilized finite element formulation for high-speed inviscid compressible flows using finite calculus (pages 872–897)

      Mohammad Kouhi and Eugenio Oñate

      Article first published online: 30 JAN 2014 | DOI: 10.1002/fld.3877

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      Development of a new stabilization formulation based on the finite calculus scheme is considered. Implementation of the proposed method for solving the Euler equations using the Galerkin FEM on unstructured triangular grids is investigated. Two stabilization terms, called streamline term and transverse term, are added via the finite calculus formulation to the original conservative equations.

    3. You have full text access to this OnlineOpen article
      Development of an efficient statistical volumes of fluid–Lagrangian particle tracking coupling method (pages 898–918)

      H. Grosshans, R.-Z. Szász and L. Fuchs

      Article first published online: 4 FEB 2014 | DOI: 10.1002/fld.3879

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      In this paper, a novel volumes of fluid–Lagrangian particle tracking coupling approach is developed. It employs a coupling on statistical basis, which have significant benefits in terms of computational efficiency.

    4. A two-step monolithic method for the efficient simulation of incompressible flows (pages 919–934)

      P. Ryzhakov, J. Cotela, R. Rossi and E. Oñate

      Article first published online: 28 JAN 2014 | DOI: 10.1002/fld.3881

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      The proposed two-step monolithic methodology leads to approximately double reduction in the computational time. The two-step method consists of a prediction step assuming slight compressibility and a correction step when the incompressible equations are used. The speed-up obtained is due to the improved conditioning of the coefficient matrix corresponding to the prediction step.

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