International Journal for Numerical Methods in Fluids

Cover image for Vol. 77 Issue 6

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. A Jacobian-free Newton–Krylov method for thermalhydraulics simulations

      A. Ashrafizadeh, C.B. Devaud and N.U. Aydemir

      Article first published online: 21 JAN 2015 | DOI: 10.1002/fld.3999

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      The fully implicit Jacobian-Free Newton-Krylov (JFNK) method is applied to the four equation two-fluid model. A detailed analysis is performed. High Courant-Friedrichs- Lewy (CFL) numbers can be used to obtain stable numerical results and the good accuracy of the transient and steady-state predictions is maintained with significant decrease in computational time.

    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.

    4. Numerical simulation of droplet ejection of thermal inkjet printheads

      Hua Tan, Erik Torniainen, David P. Markel and Robert N K Browning

      Article first published online: 19 JAN 2015 | DOI: 10.1002/fld.3997

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      We propose a numerical method to model the droplet ejection in the thermal inkjet printheads. A bubble dynamics model is proposed to model the effect of ink vapor on the ink. A robust surface tension model and contact angle model has been developed as well. Numerical tests show good performance of the proposed method in prediction of free-surface flows. Finally, the three-dimensional simulation of the drop ejection process including vapor bubble growth/collapse and refill of firing chamber was carried out and compared to experiment.

    5. A hybrid phase field multiple relaxation time lattice Boltzmann method for the incompressible multiphase flow with large density contrast

      J. Y. Shao and C. Shu

      Article first published online: 19 JAN 2015 | DOI: 10.1002/fld.3995

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      A hybrid multirelaxation time (MRT) lattice Boltzmann method (LBM) was developed to simulate multiphase flows with high-density/viscosity ratio and high Reynolds number. Numerical stability of LBM is improved by MRT collision model, and numerical stability of interface capturing is improved by directly solving Cahn-Hilliard equation using weighted essentially non-oscillatory scheme.

  2. Research Article

    1. A study of the effect of step excrescences and free-stream disturbances on boundary layer stability

      Adrian Sescu, Miguel Visbal and Donald Rizzetta

      Article first published online: 19 JAN 2015 | DOI: 10.1002/fld.3993

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      We conduct a numerical study of the mechanism by which free-stream disturbances interact with a flat-plate boundary layer flow in the presence of a surface excrescence. Acoustic and vorticity waves are generated using a source term in the momentum and energy equations. The results show that the receptivity to surface excrescences is largely the result of an overall adverse pressure gradient posed by the step, and that the free-stream disturbances accelerate the generation of instabilities inside the boundary layer.

  3. Research Articles

    1. An effective approach for modeling fluid flow in heterogeneous media using numerical manifold method

      Mengsu Hu, Yuan Wang and Jonny Rutqvist

      Article first published online: 15 JAN 2015 | DOI: 10.1002/fld.3986

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      • A new effective approach for modeling water flow in heterogeneous media with arbitrarily oriented, intersected material interfaces is proposed, and the new approach is developed for modeling with fixed, uniform mesh that minimizes meshing efforts.
      • An accurate jump function is constructed to satisfy the refraction law for material interfaces, and the intersections of material interfaces with Dirichlet, Neumann boundaries, or other boundaries are fully considered.
      • Dependable accuracy is assured by stringent derivation and proved by verification examples.
    2. An extension of the SIMPLE based discontinuous Galerkin solver to unsteady incompressible flows

      B. Klein, F. Kummer, M. Keil and M. Oberlack

      Article first published online: 15 JAN 2015 | DOI: 10.1002/fld.3994

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      We present a SIMPLE based algorithm in the context of the discontinuous Galerkin method for unsteady incompressible flows, which is fully implicit using backward differentation formulae. It is shown that the original equation for the pressure correction can be replaced by an equivalent operator stemming from the symmetric interior penalty method leading to a reduced stencil size. Extensive numerical tests are provided to investigate temporal and spatial accuracy as well as performance and numerical stability of the proposed algorithm.

    3. A compressible two-fluid multiphase model for CO2 leakage through a wellbore

      Mehdi Musivand Arzanfudi and Rafid Al-Khoury

      Article first published online: 15 JAN 2015 | DOI: 10.1002/fld.3990

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      This paper introduces an effectively mesh-independent and computationally efficient compressible two-fluid model for CO2 leakage through wellbores. The drift-flux model with a jump (discontinuity) at the interface between CO2 and air is utilized and is solved using a mixed finite-element discretization scheme, incorporating the partition of unity and the level-set methods. All important physical phenomena and processes occurring along the wellbore path, including fluid dynamics, buoyancy, phase change, compressibility, thermal interaction, wall friction, and slip between phases are considered.

    4. A modified lattice Boltzmann model for shallow water flows over complex topography

      Shaotian Li, Ping Huang and Junmin Li

      Article first published online: 19 DEC 2014 | DOI: 10.1002/fld.3991

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      A modified lattice Boltzmann model is proposed to describe shallow water flows over complex topography. We exclude the quadratic depth term form the equilibrium distribution functions (EDFs) but add the hydrostatic pressure term to the source term in the lattice Boltzmann equations (LBE). This would bring more flexibility to the treatment of the sourcing terms in the LBE. For this purpose, the basic constraints are redefined, and under these constraints, the coefficients of the EDFs are derived afterwards.

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

    1. Adaptive subdivision piecewise linear interface calculation (ASPLIC) for 2D multi-material hydrodynamic simulation codes

      C. Fochesato, R. Loubère, R. Motte and J. Ovadia

      Article first published online: 18 DEC 2014 | DOI: 10.1002/fld.3989

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      Our ASPLIC method is designed to maintain filaments and fragments longer than classical piecewise linear interface calculation method by local detection of problematic situations and mesh adaptation. Numerical results show that our approach maintains small-scale structures in fluid flows.

  5. Research Article

    1. Solving the Savage–Hutter equations for granular avalanche flows with a second-order Godunov type method on GPU

      Jian Zhai, Li Yuan, Wei Liu and Xinting Zhang

      Article first published online: 18 DEC 2014 | DOI: 10.1002/fld.3988

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      We present a second-order predictor-corrector Godunov type method by taking into account the static resistance condition and stopping criteria of granular materials to numerically solve the Savage-Hutter equations. GPU computing is implemented with the numerical method. The problem of a granular jet impinging on an inclined plane is simulated and the computed teardrop-shaped shock is comparable to experimental and numerical results in the reference.

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

    1. Artificial viscosity: back to the basics

      Ann E. Mattsson and W. J. Rider

      Article first published online: 28 NOV 2014 | DOI: 10.1002/fld.3981

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      This paper provides a major clarification of the historical record regarding the development of artificial viscosity by identifying the correct original description of the method, which had been classified until 1993. Using the original development of the method, we derive a distinct method combining its ideas with modern thermodynamic concepts. This new method is demonstrated on several example problems showing the viability of the ideas for further development.

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