International Journal for Numerical Methods in Fluids

Cover image for Vol. 72 Issue 2

20 May 2013

Volume 72, Issue 2

Pages 135–268

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. Reduced one-dimensional modelling and numerical simulation for mass transport in fluids (pages 135–156)

      T. Köppl, B. Wohlmuth and R. Helmig

      Article first published online: 5 SEP 2012 | DOI: 10.1002/fld.3728

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      The article presents one-dimensional modelling of the Navier-Stokes equations and a convection-diffusion equation with the intended application being the simulation of mass transport through a network.

    2. An exact non-linear Navier–Stokes compressible-flow solution for CFD code verification (pages 157–176)

      Joe Iannelli

      Article first published online: 7 SEP 2012 | DOI: 10.1002/fld.3731

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      An exact solution of the compressible-flow Navier-Stokes equations is developed, presented, and discussed. The solution embeds supersonic, transonic, and subsonic regions, accommodates nonlinear temperature-dependent viscosity as well as heat-conduction coefficients, and provides the variations of all the flow variables and their derivatives, which increase for rising Mach and Reynolds numbers. It thus provides reliable benchmarks of increasing severity for CFD algorithm and code verification purposes.

    3. A ‘well-balanced’ finite volume scheme for blood flow simulation (pages 177–205)

      O. Delestre and P.-Y. Lagrée

      Article first published online: 1 OCT 2012 | DOI: 10.1002/fld.3736

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      We present numerical schemes to solve monodimensional equations of blood flow in elastic arteries with varying cross section. This is similar to shallow water equations with a topography. Too simple resolutions of shallow water equations create spurious flows, so ‘well-balanced’ schemes have been developed to avoid this, and in particular, to preserve the equilibrium of the ‘lake at rest’. The analog is proposed here for the blood flow: the equilibrium of the ‘man at eternal rest’.

    4. A high-resolution method for compressible two-fluid flows and simulation of three-dimensional shock–bubble interactions (pages 206–230)

      J. G. Zheng and T. S. Lee

      Article first published online: 11 OCT 2012 | DOI: 10.1002/fld.3739

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      A high-resolution diffuse interface method is developed to capture the material interfaces arising from the compressible multi-fluid flows. The various flow features at disparate spatial scales can be resolved sufficiently by using the block-structured adaptive mesh refinement algorithm. Our method is proved to be accurate, stable and robust. In addition, the interactions of the spherical helium and krypton bubbles with shock wave are investigated numerically, and the effect of shock strength on bubble evolution is examined.

    5. Discrete filter operators for large-eddy simulation using high-order spectral difference methods (pages 231–258)

      Guido Lodato, Patrice Castonguay and Antony Jameson

      Article first published online: 24 OCT 2012 | DOI: 10.1002/fld.3740

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      The development of accurate and efficient filter operators for high-order discontinuous finite element methods is generally not straightforward. In this article, two new classes of discrete filters with prescribed cutoff frequency are proposed and used in the context of similarity mixed modeling for large-eddy simulation. Validation on the canonical test case of turbulent channel flow proves the effectiveness of the proposed filters and the sub-grid scale model adopted, in the case of both Cartesian and unstructured meshes.

    6. Performance of a three-dimensional unstructured mesh compressible flow solver on NVIDIA Fermi-class graphics processing unit hardware (pages 259–268)

      Jacob Waltz

      Article first published online: 18 OCT 2012 | DOI: 10.1002/fld.3744

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      We describe the performance of a 3D unstructured mesh compressible flow solver on graphics processing unit (GPU) hardware. Using a graph-theoretic optimization approach, we achieve speed-ups of 4 − 5 × on meshes up to 107 tetrahedra. Hybrid GPU-OpenMP calculations with adaptive mesh refinement are also demonstrated.

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