International Journal for Numerical Methods in Fluids

Cover image for Vol. 71 Issue 9

30 March 2013

Volume 71, Issue 9

Pages 1073–1206

  1. Research Articles

    1. Top of page
    2. Research Articles
    1. A numerical investigation of wall effects in three-dimensional, laminar flow over a backward facing step with a constant aspect and expansion ratio (pages 1073–1102)

      N. A. Malamataris

      Version of Record online: 20 JUN 2012 | DOI: 10.1002/fld.3699

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      This work detects and visualizes a flow in the spanwise direction in the three-dimensional, laminar, backward-facing step that is responsible for the early onset of unsteadiness for this flow. The wall effects are studied in the whole range of laminar flow regime that show the impact of the lateral wall in the distortion of the flow and how this distortion decays as the flow approaches the plane of symmetry.

    2. Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids (pages 1103–1130)

      S. J. Lind and T. N. Phillips

      Version of Record online: 29 JUN 2012 | DOI: 10.1002/fld.3701

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      This paper is concerned with the development of a high-order numerical scheme for two-phase viscoelastic flows. The particular problem of the collapse of a 2D bubble in the vicinity of a rigid boundary is considered. It is shown that viscoelasticity has the ability to prevent jet formation and therefore is likely to have a mitigating effect on cavitation damage.

    3. Some considerations for high-order ‘incremental remap’-based transport schemes: edges, reconstructions, and area integration (pages 1131–1151)

      Paul Aaron Ullrich, Peter Hjort Lauritzen and Christiane Jablonowski

      Version of Record online: 23 JUL 2012 | DOI: 10.1002/fld.3703

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      The problem of tracer advection on the sphere is extremely important in modeling of the atmosphere and oceans. This paper examines the popular ‘incremental remap’ family of schemes, which are capable of reaching high-order accuracy without the need for multistage integration in time. Specifically, we show that in the presence of strong nonlinear, shear upstream edges must be treated with quadratic accuracy or else significant errors will arise.

    4. An improved MUSCL treatment for the SPH-ALE method: comparison with the standard SPH method for the jet impingement case (pages 1152–1177)

      Phoevos K. Koukouvinis, John S. Anagnostopoulos and Dimitris E. Papantonis

      Version of Record online: 29 JUN 2012 | DOI: 10.1002/fld.3706

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      Wedge impact on water surface, pressure distribution. The proposed MUSCL-Hancock scheme for the SPH-Arbitrary Lagrangian Eulerian method enables the simulation of highly dynamic phenomena accurately, with low diffusion.

    5. Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis (pages 1178–1190)

      Dmitri Kuzmin

      Version of Record online: 23 SEP 2012 | DOI: 10.1002/fld.3707

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      This paper presents a new predictor-corrector approach to hierarchical slope limiting in high-order discontinuous Galerkin methods on the basis of explicit Runge-Kutta time-stepping. In the case of a non-orthogonal Taylor basis, the off-diagonal part of the element mass matrix is preconstrained by limiting the spatial variations of the discretized time derivatives. This mass lumping strategy is shown to produce a marked improvement for P1 and P2 approximations on triangular meshes.

    6. Numerical approximation of parabolic problems by residual distribution schemes (pages 1191–1206)

      R. Abgrall, G. Baurin, A. Krust, D. de Santis and M. Ricchiuto

      Version of Record online: 14 AUG 2012 | DOI: 10.1002/fld.3710

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      We are interested in the numerical approximation of steady scalar convection-diffusion problems by means of high order schemes called Residual Distribution schemes. In the inviscid case, one can develop nonlinear Residual Distribution schemes that are nonoscillatory, even in the case of very strong discontinuities.