International Journal for Numerical Methods in Fluids

Cover image for Vol. 77 Issue 10

Early View (Online Version of Record published before inclusion in an issue)

Edited By: Rémi Abgrall, Charbel Farhat

Impact Factor: 1.329

ISI Journal Citation Reports © Ranking: 2013: 19/31 (Physics Fluids & Plasmas); 32/95 (Mathematics Interdisciplinary Applications); 58/102 (Computer Science Interdisciplinary Applications); 63/139 (Mechanics)

Online ISSN: 1097-0363

Associated Title(s): International Journal for Numerical Methods in Biomedical Engineering, International Journal for Numerical Methods in Engineering, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Numerical Linear Algebra with Applications


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  1. Research Articles

    1. Simulation of viscoelastic fluids in a 2D abrupt contraction by spectral element method

      Azadeh Jafari, Nicolas Fiétier and Michel O. Deville

      Article first published online: 4 MAR 2015 | DOI: 10.1002/fld.4012

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      This study presents the vortex structure and numerical instability increase occurring when the level of elasticity is enhanced in inertial flows in planar contraction configuration for FENE-P fluid. The calculations are performed using extended matrix logarithm formulation in the context of spectral elements. This formulation helps to reach higher values of the Weissenberg number when compared with the classical one.

    2. Mass conservation in computational morphodynamics: uniform sediment and infinite availability

      Niels Gjøl Jacobsen

      Article first published online: 2 MAR 2015 | DOI: 10.1002/fld.4015

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      1. A perfectly mass conserving face-to-vertex interpolation scheme for computational morphodynamics on generally unstructured meshes is proposed and tested.
      2. A geometric sand sliding routine is devised and tested for mass conservation.
      3. Analysis of other face-to-vertex interpolation schemes from the literature is conducted to check whether they are mass conserving, and if yes, under which conditions.
      4. Other special topics, such as numerical filtering and morphological acceleration, are considered in the light of the mass conservation.
    3. Numerical simulation of two-dimensional Kelvin–Helmholtz instability using weakly compressible smoothed particle hydrodynamics

      Thomas Yue, Frazer Pearce, Arno Kruisbrink and Herve Morvan

      Article first published online: 27 FEB 2015 | DOI: 10.1002/fld.4017

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      The combined use of a multi-fluid SPH scheme and a viscosity switch accurately resolve the Kelvin Helmholtz Instability between two ideal gases. The effective viscosity of the presented results are strongly dependent on the SPH artificial viscosity parameter, with a linear dependence of 0.15. The utilisation of a viscosity switch significantly reduce the spurious viscosity dependence. The linear growth rate in the results are found to be in satisfactory agreement with analytical expectations, with an average relative error of 13%.

    4. A high-resolution hybrid scheme for hyperbolic conservation laws

      Wu Xiaoshuai and Zhao Yuxin

      Article first published online: 26 FEB 2015 | DOI: 10.1002/fld.4014

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      The high-resolution hybrid scheme HWENO-N3 has been proposed in this article, accompanied by its WENO counterpart WENO-N3. It is demonstrated by benchmark numerical tests that HWENO-N3 outperforms WENO-JS5 and WENO-Z5 in resolving the complicated flow structures involved with discontinuities, even employing less stencil points.

    5. A Galerkin spectral method based on helical-wave decomposition for the incompressible Navier–Stokes equations

      Zi-Ju Liao and Wei-Dong Su

      Article first published online: 24 FEB 2015 | DOI: 10.1002/fld.4013

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      Helical-wave decomposition (HWD) is the orthogonal expansion of a vector field according to the eigenfunctions of the curl operator, as shown in the illustrative figure that contains three particular helical-wave bases for a spherical domain. By HWD, a spectral method for the Navier–Stokes equations in general three-dimensional domains can be constructed. This paper originates an HWD spectral method satisfying the no-slip boundary condition and fulfills the pseudo-spectral numerical verification for the computation of an internal flow of an oscillating sphere.

    6. A component framework for the parallel solution of the incompressible Navier–Stokes equations with Radau-IIA methods

      J. Rang and R. Niekamp

      Article first published online: 23 FEB 2015 | DOI: 10.1002/fld.4018

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      In this paper, we consider higher order Radau-IIA methods for the discretization of the incompressible Navier–Stokes equations. The nonlinear systems are solved with a simplified Newton method and transformation of the coefficient matrix such that the arising linear systems can be solved in parallel. Numerical examples show that high order in the pressure component can be achieved and that the proposed solution technique is very effective.

    7. Contradiction between the C-property and mass conservation in adaptive grid based shallow flow models: cause and solution

      Qiuhua Liang, Jingming Hou and Xilin Xia

      Article first published online: 23 FEB 2015 | DOI: 10.1002/fld.4005

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      A conventional challenge in developing a robust adaptive grid-based shallow water equation model is to ensure simultaneously the C-property and mass conservation during grid adaptation. This work investigates and analyzes the cause of the problem and subsequently proposes a novel approach based on local bed modification to maintain both C-property and mass conservation for adaptive grid simulations. The validity of the approach is proven mathematically, and its robustness and accuracy are confirmed by numerical experiments.

    8. A robust and well-balanced scheme for the 2D Saint-Venant system on unstructured meshes with friction source term

      A. Duran

      Article first published online: 23 FEB 2015 | DOI: 10.1002/fld.4011

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      The present work concerns the extension of a 1D friction approach in the context of 2D unstructured meshes. The method is positive preserving, stratifies the C-property and allows the cure of the problem of vanishing water heights. Accurate and stable results are reached, notably for flooding and drying events in the presence of complex geometry, varying topography and nonlinear friction terms.

    9. Accurate and robust adaptive mesh refinement for aerodynamic simulation with multi-block structured curvilinear mesh

      Xinrong Su

      Article first published online: 12 FEB 2015 | DOI: 10.1002/fld.4004

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      A multi-block curvilinear mesh-based adaptive mesh refinement tool is developed to capture the flow details of various length scales. A physics-based error indicator is proposed, which detects both the shock wave and the strong vortex. A sub-block-based mesh refinement strategy with cubic interpolation and an improved method to compute wall distance are proposed to tackle the challenges raised by complex geometry. The current curvilinear adaptive mesh refinement tool is proved to be accurate, robust, and efficient.

    10. An improved near-wall modeling for large-eddy simulation using immersed boundary methods

      Seokkoo Kang

      Article first published online: 11 FEB 2015 | DOI: 10.1002/fld.4008

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      • A new near-wall modeling is proposed for the large-eddy simulation with immersed boundary methods
      • The new method imposes a shear stress condition at the immersed boundary (IB) node by modifying the subgrid scale eddy viscosity at the IB nodes
      • The proposed method improves the accuracy of the near-wall model for immersed boundaries
    11. A simple hybrid finite volume solver for compressible turbulence

      V. Kalyana Chakravarthy, K. Arora and D. Chakraborty

      Article first published online: 11 FEB 2015 | DOI: 10.1002/fld.4000

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      A hybrid finite volume scheme for compressible turbulence simulations is developed by combining central and shock capturing schemes. An unphysical oscillation sensor is used along with discontinuity sensor for determining the weights of the two schemes. The former is a key to suppression of spurious oscillations away from discontinuities.

    12. OpenACC acceleration of an unstructured CFD solver based on a reconstructed discontinuous Galerkin method for compressible flows

      Yidong Xia, Jialin Lou, Hong Luo, Jack Edwards and Frank Mueller

      Article first published online: 9 FEB 2015 | DOI: 10.1002/fld.4009

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      An OpenACC directive-based GPU parallel scheme is presented for solving the compressible Navier–Stokes equations on 3D hybrid unstructured grids with a third-order reconstructed discontinuous Galerkin method. The developed scheme requires the minimum code intrusion and algorithm alteration for accelerating a legacy unstructured solver with GPU at very little extra effort in programming. Numerical experiments show that the resulting solver achieves good performance in various flow conditions, indicating an effective and extensible approach to port unstructured CFD solvers to GPU platforms.

    13. Principal interval decomposition framework for POD reduced-order modeling of convective Boussinesq flows

      O. San and J. Borggaard

      Article first published online: 9 FEB 2015 | DOI: 10.1002/fld.4006

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      A principal interval decomposition (PID) approach is presented for model reduction of convective flows. The PID method optimizes the lengths of the time windows over which proper orthogonal decomposition is performed and can be highly effective in building reduced-order models for convection-dominated unsteady flow problems. The performance of PID approach is investigated for solving unsteady lock-exchange flow problem, and it is shown that the PID approach provides significant improvements in the accuracy over the standard Galerkin proper orthogonal decomposition reduced-order model.

    14. High-order time integrators for front-tracking finite-element analysis of viscous free-surface flows

      L. Charlot, S. Etienne, A. Hay, D. Pelletier and A. Garon

      Article first published online: 9 FEB 2015 | DOI: 10.1002/fld.4001

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      We present a high-order time-accurate front-tracking finite-element method for free-surface flows, which relies on an Arbitrary Lagrangian–Eulerian formulation combined with a family of implicit Runge–Kutta time integrators. Systematic grid and time-step sizes refinement studies are performed to assess the precision of the proposed procedure. The accuracy of the free-surface flow solutions obtained with the proposed approach is demonstrated on several applications: large amplitude sloshing, propagation of a solitary wave, and the flow over a submerged cylinder.

    15. A hybrid numerical method for the phase-field model of fluid vesicles in three-dimensional space

      Jaemin Shin, Darae Jeong, Yibao Li, Yongho Choi and Junseok Kim

      Article first published online: 29 JAN 2015 | DOI: 10.1002/fld.4007

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      We propose a hybrid numerical scheme for the phase-field model of fluid vesicles, which combines the penalty and the Lagrange multiplier methods for the surface area and enclosed volume. Equilibrium shape of fluid vesicle is obtained by minimizing the bending energy with two constraints.

  2. Research Paper Presented at MULTIMAT 2013 Multi-Material Hydrodynamics Simulations

    1. A swept intersection-based remapping method for axisymmetric ReALE computation

      Jérôme Breil, Hubert Alcin and Pierre-Henri Maire

      Article first published online: 29 JAN 2015 | DOI: 10.1002/fld.3996

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      We use here a reconnection ALE strategy to solve hydrodynamic compressible flows in cylindrical geometries. The reconnection capability allows to deal with complex geometries and high-vorticity problems contrary to ALE method. We demonstrate that our method can be applied to several numerical examples up to problem representative of hydrodynamic experiments.

  3. Research Articles

    1. A multiscale control volume finite element method for advection–diffusion equations

      Pavel Bochev, Kara Peterson and Mauro Perego

      Article first published online: 29 JAN 2015 | DOI: 10.1002/fld.3998

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      We present a new parameter-free stabilized control volume finite element method for advection–diffusion equations. The method is based on H(curl)-lifting of second-order accurate upwind edge fluxes into multi-scale elemental fluxes. The former are defined by solving one dimensional versions of the equations on mesh edges.

    2. An unsteady preconditioning scheme based on convective-upwind split-pressure artificial dissipation

      David Folkner, Aaron Katz and Venke Sankaran

      Article first published online: 19 JAN 2015 | DOI: 10.1002/fld.4003

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      In this work, we present a novel preconditioning scheme, based on CUSP, which is designed to provide good conditioning for low-Mach-number flows at all Strouhal numbers. Unlike traditional matrix dissipation schemes, the preconditioned CUSP formulation provides scalar-like efficiency and simplicity. Several test cases are presented for steady, unsteady, convection-dominated, and acoustic-dominated flows that demonstrate significant improvements in accuracy and convergence rate over traditional preconditioning schemes for a wide range of flow conditions.

    3. An approach to control the spurious currents in a multiphase lattice Boltzmann method and to improve the implementation of initial condition

      Sébastien Leclaire, Nicolas Pellerin, Marcelo Reggio and Jean-Yves Trépanier

      Article first published online: 19 JAN 2015 | DOI: 10.1002/fld.4002

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      A method to control spurious currents via lattice refinement is proposed, based on interface thickness control, such that both the spurious currents and the physical fluid–fluid interface thickness vanish in the continuum limit. By combining this approach with an appropriate multiphase flow initialization, the overall stability of the proposed multiphase lattice Boltzmann method is greatly improved for high density and viscosity ratios.


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