International Journal for Numerical Methods in Fluids

Cover image for Vol. 73 Issue 12

30 December 2013

Volume 73, Issue 12

Pages 1001–1080

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Toward low-noise synthetic turbulent inflow conditions for aeroacoustic calculations (pages 1001–1010)

      Adrian Sescu and Ray Hixon

      Version of Record online: 22 JUL 2013 | DOI: 10.1002/fld.3833

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      In this work, a method to generate low-noise, divergence-free, synthetic turbulence for inflow boundary conditions is proposed. The method relies on the classical view of turbulence as a superposition of random eddies convected with the mean flow, whereas the divergence-free condition is satisfied by using the vector potential and the requirement that the individual eddies must satisfy the linearized momentum equations about the mean flow.

    2. Gradient augmented reinitialization scheme for the level set method (pages 1011–1041)

      Lakshman Anumolu and Mario F. Trujillo

      Version of Record online: 6 AUG 2013 | DOI: 10.1002/fld.3834

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      A hybrid scheme that generates a signed distance function and its gradient to 4th and 3rd order accuracy respectively from a given distorted level set function is presented. Within the interfacial region, the level set and its gradient are updated explicitly through a modified version of Newton's method, whereas in the complementary region, a semi-Lagrangian implementation of the reinitialization equations is solved based on Hermite polynomials. The algorithm is successfully tested in a range of problems including advection with reinitialization.

    3. Numerical simulation of incompressible two-phase flows with a Boussinesq–Scriven interface stress tensor (pages 1042–1058)

      Arnold Reusken and Yuanjun Zhang

      Version of Record online: 2 AUG 2013 | DOI: 10.1002/fld.3835

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      As far as we know, this is the first paper in which the numerical simulation of three dimensional incompressible two-phase flows with a sharp interface model and a Boussinesq-Scriven viscous interface force is treated. A new finite element method for the discretization of the Boussinesq-Scriven interface force is presented. A benchmark problem is introduced, based on the recent paper [Soft Matter 7, 7797–7804, 2011] in which a model problem with a spherical droplet in a Stokes Poiseuille flow with a Boussinesq-Scriven law for the surface viscosity has been theoretically analyzed.

    4. Finite volume element methods for nonequilibrium radiation diffusion equations (pages 1059–1080)

      Xiukun Zhao, Yanli Chen, Yanni Gao, Changhua Yu and Yonghai Li

      Version of Record online: 13 AUG 2013 | DOI: 10.1002/fld.3838

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      We construct two finite volume element schemes for solving nonequilibrium radiation diffusion problems, which are challenging because of their highly nonlinear, discontinuous, and tightly coupled phenomena. We discuss the monotonicity of two schemes, where Scheme I is monotone on many kinds of meshes. Scheme II is hard to satisfy monotonicity, but this defect can be corrected by different repair techniques.