International Journal for Numerical Methods in Fluids

Cover image for Vol. 71 Issue 3

30 January 2013

Volume 71, Issue 3

Pages 269–402

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Numerical simulation of orbitally shaken viscous fluids with free surface (pages 294–315)

      Marco Discacciati, David Hacker, Alfio Quarteroni, Samuel Quinodoz, Stéphanie Tissot and Florian M. Wurm

      Article first published online: 14 FEB 2012 | DOI: 10.1002/fld.3658

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      Orbitally shaken bioreactors are an emerging alternative to stirred-tank bioreactors for large-scale mammalian cell culture, but their fluid dynamics is still not well-defined. Among the theoretical and practical issues that remain to be resolved, the characterization of the liquid free surface during orbital shaking remains a major challenge because it is an essential aspect of gas transfer and mixing in these reactors.

    2. Wet/dry areas method for interfacial (free surface) flow (pages 316–338)

      Xianyun Wen

      Article first published online: 20 MAR 2012 | DOI: 10.1002/fld.3661

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      This paper explores the application of the conservative integral form of the Navier-Stokes equations to interfacial (free surface) flow problems on standard staggered grids; derives analytical, therefore, accurate formulae to accurately calculate the mass and momentum fluxes on the faces of the u-control and v-control volumes on standard staggered grids; and develops the algorithm to calculate the control volume surface areas exposed to the water and the area exposed to the air.

    3. Residual-based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods (pages 339–357)

      Murtazo Nazarov and Johan Hoffman

      Article first published online: 7 MAR 2012 | DOI: 10.1002/fld.3663

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      In this paper, we present a finite element method with a residual-based artificial viscosity for simulation of turbulent compressible flow, with adaptive mesh refinement based on a posteriori error estimation with sensitivity information from an associated dual problem.

    4. Application of the Jacobi–Davidson method to accurate analysis of singular linear hydrodynamic stability problems (pages 358–369)

      C.I. Gheorghiu and J. Rommes

      Article first published online: 26 MAR 2012 | DOI: 10.1002/fld.3669

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      Arnoldi-based and Jacobi-Davidson-based eigenvalue solvers (real and complex) are applied to non-Hermitian generalized eigenvalue problems with a singular matrix, arising in linear hydrodynamic stability analysis. Accuracy, convergence, and pseudospectra are analyzed.

    5. A computational method for geometric optimization of enhanced heat transfer devices based upon entropy generation minimization (pages 370–402)

      Lee J. Betchen and Anthony G. Straatman

      Article first published online: 19 MAR 2012 | DOI: 10.1002/fld.3670

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      A generic finite difference-based optimization approach has been developed and applied to the entropy generation-based optimization of a practical enhanced heat transfer device. The methodology is highly general and includes a novel Taylor series-based restart procedure, which is demonstrated to greatly reduce the computational effort expended. The results of the numerical experiment considered are seen to agree with the results of analytical modeling with a high degree of accuracy.