International Journal for Numerical Methods in Fluids

Cover image for Vol. 78 Issue 9

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

Edited By: Rémi Abgrall, Charbel Farhat

Impact Factor: 1.244

ISI Journal Citation Reports © Ranking: 2014: 18/31 (Physics Fluids & Plasmas); 40/99 (Mathematics Interdisciplinary Applications); 63/102 (Computer Science Interdisciplinary Applications); 73/137 (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. Hybrid mesh generation using advancing reduction technique

      Yaoxin Zhang and Yafei Jia

      Article first published online: 26 JUN 2015 | DOI: 10.1002/fld.4060

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      In this study, a new hybrid mesh (triangles + quadrilaterals) generation method is developed. The proposed method is grid-based and starts with an initial Rectangle Mesh (RM) covering the whole domain. Marching from the boundaries, the so-called advancing reduction technique is used to automatically decompose the whole domain into multiple zones of RM with different edge lengths. The transition layers, consisting of elements of both triangles and quadrilaterals, connect different sub-RMs to each other. In the proposed algorithm, local mesh refinement can be easily fulfilled by the transition layers.

    2. A third-order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time-accurate solution of the compressible Navier–Stokes equations

      Yidong Xia, Xiaodong Liu, Hong Luo and Robert Nourgaliev

      Article first published online: 18 JUN 2015 | DOI: 10.1002/fld.4057

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      A space and time third-order discontinuous Galerkin method based on a Hermite weighted essentially non-oscillatory reconstruction is presented for the unsteady compressible Euler and Navier–Stokes equations. Numerical results indicate that this method is able to deliver the designed third-order accuracy of convergence in both space and time while requiring less computing time than the lower-order discontinuous Galerkin methods to achieve the same level of temporal accuracy for computing unsteadyflow problems.

    3. A pressure–velocity coupling approach for high void fraction free surface bubbly flows in overset curvilinear grids

      Jiajia Li, Alejandro M. Castro and Pablo M. Carrica

      Article first published online: 18 JUN 2015 | DOI: 10.1002/fld.4054

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      A methodology for improved robustness in the simulation of high void fraction free surface polydisperse bubbly flows in curvilinear overset grids is presented. An additional set of staggered velocities defined at cell faces computed from fast to evaluate algebraic equations satisfy mass conservation exactly while momentum is still solved on a collocated grid. The methodology enables the computation of complex configurations of polydispersed bubbly flows around ships involving motions with dynamic overset and free surface at very high hold-ups.

    4. Influence of spatial discretization and unsteadiness on the simulation of rocket combustors

      Markus Lempke, Roman Keller and Peter Gerlinger

      Article first published online: 17 JUN 2015 | DOI: 10.1002/fld.4059

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      A new high order discretization technique (MLPld multi-dimensional limiting process, low diffusion) is presented and compared to conventional second order schemes with different flux limiters. Time accurate URANS (unsteady RANS) simulations (two- and three-dimensional) of an axisymmetric rocket combustor are performed to assess possible improvements in comparison to steady-state RANS (Reynolds-averaged Navier-Stokes) simulations. The high order spatial discretization significantly improves the agreement with measured wall heat fluxes at low additional computational cost.

    5. An approach formulated in terms of conserved variables for the characterisation of propellant combustion in internal ballistics

      R. A. Otón-Martínez, G. Monreal-González, J. R. García-Cascales, F. Vera-García, F. J. S. Velasco and F. J. Ramírez-Fernández

      Article first published online: 17 JUN 2015 | DOI: 10.1002/fld.4056

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      A transient two-phase flow model adapted from the non-conservative Gough model and formulated in terms of conserved variables is presented for the study of internal ballistic problems. We propose the use of the AUSM+, AUSM + up and Rusanov schemes as an efficient alternative for this type of problems.

    6. The simulation of turbulent particle-laden channel flow by the Lattice Boltzmann method

      Amir Banari, Yackar Mauzole, Tetsu Hara, Stephan T. Grilli and Christian F. Janßen

      Article first published online: 16 JUN 2015 | DOI: 10.1002/fld.4058

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      We study direct numerical simulation of turbulent flows coupling with particle Lagrangian tracking method to see the effects of particles on modifying the turbulent field. We have found that turbulent Reynolds stress and the production of turbulent kinetic energy are decreased because of the particle effects, and streamwise component of turbulent velocity fluctuations is increased, while the spanwise and wall-normal components are decreased.

    7. A computationally efficient 3D finite-volume scheme for violent liquid–gas sloshing

      O. F. Oxtoby, A. G. Malan and J. A. Heyns

      Article first published online: 8 JUN 2015 | DOI: 10.1002/fld.4055

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      We present a free-surface modelling methodology for flow problems involving violent liquid–gas sloshing. The solution methodology is entirely matrix-free and parallel. The code is applied to an industrial-type problem involving resonant excitation of a fuel tank, comparing well with experimental results in this highly dynamic sloshing regime.

    8. You have full text access to this OnlineOpen article
      Application of pressure- and density-based methods for different flow speeds

      A. Miettinen and T. Siikonen

      Article first published online: 3 JUN 2015 | DOI: 10.1002/fld.4051

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      Pressure-based and density-based methods are studied at different flow speeds in order to find a general approach to cover different Mach number regimes. Various forms of inviscid fluxes are applied and connected with either a pressure-based or density-based implicit solution, and a new pressure-correction method is developed that can be applied for incompressible and for compressible flows. Sample problems at different Mach numbers are simulated using different approaches, and their efficiency and accuracy are compared.

    9. A new characteristic approach for incompressible thermo-flow in Cartesian and non-Cartesian grids

      T. Adibi and S. E. Razavi

      Article first published online: 3 JUN 2015 | DOI: 10.1002/fld.4053

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      A virtual-characteristic approach is developed for thermo-flow with finite-volume methodology in which a multidimensional characteristic (MC) scheme is applied along with artificial compressibility. With this inherent upwinding of convective fluxes, no artificial viscosity is required even at high Reynolds numbers. Another remarkable advantage of the MC scheme lies in its faster convergence rate with respect to the averaging scheme that is found to exhibit substantial delays in convergence.

    10. A 3D mesh deformation technique for irregular in-flight ice accretion

      Andrew Pendenza, Wagdi G. Habashi and Marco Fossati

      Article first published online: 3 JUN 2015 | DOI: 10.1002/fld.4049

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      Findings: A mesh deformation technique that associates the edges of the mesh to structural frame elements endowed with suitable elastic properties is capable of delaying the need to re-mesh in the presence of large irregular ice growth by enforcing zero or minimal skewness near the wall and limiting the degradation of near-wall elements.

    11. A mesh-adaptative metric-based full multigrid for the Poisson problem

      Gautier Brèthes, Olivier Allain and Alain Dervieux

      Article first published online: 2 JUN 2015 | DOI: 10.1002/fld.4042

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      A combination of a non-embedded FMG algorithm with an anisotropic metric-based mesh adaptation method is presented. Performance is controlled by an estimate-based stopping criterion. Efficiency of the Hessian-based sensor is evaluated for test cases simplifying multifluid problems.

    12. Acoustic flows in viscous fluid: a lattice Boltzmann study

      Xiao-Peng Chen and Hu Ren

      Article first published online: 1 JUN 2015 | DOI: 10.1002/fld.4045

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      Lattice Boltzmann method coupled with absorbing boundary conditions was applied to simulate the acoustic flows around a cylinder in moderately viscous fluids. The viscous flow near the cylinder was modelled as curved lid-driven flow. The scaling analysis, which was based on extremely low viscous model, shows that the viscous components of the acoustic lifting force are linearly proportional to the thickness of the viscous penetrating thickness.

    13. Numerical modeling of chlorine concentration in water storage tanks

      Ramon Codina, Javier Principe, Christian Muñoz and Joan Baiges

      Article first published online: 1 JUN 2015 | DOI: 10.1002/fld.4044

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      Complete model to simulate the hydrodynamics and evolution of chlorine concentration in water tanks. Physical modeling ingredients: jet boundary conditions, free surface motion due to demand supply curves, and chlorine injection through small jets. Numerical modeling ingredients: stabilized finite element method and discontinuity capturing.

    14. A hybrid kinetic WENO scheme for inviscid and viscous flows

      Hongwei Liu

      Article first published online: 29 MAY 2015 | DOI: 10.1002/fld.4052

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      A high-order finite volume hybrid kinetic Weighted Essentially Non-Oscillatory scheme is introduced, which uses a simple hybrid kinetic flux at the cell interface to include the effects of both the free transfer and the collision of gas molecules. It is numerically demonstrated that in general, the proposed hybrid kinetic flux performs better than the conventional Kinetic Flux Vector Splitting (free transfer)flux. The high-order accuracy and good shock-capturing capability of the newly proposed scheme are validated by many 1D and 2D numerical tests.

    15. A conservative semi-implicit method for coupled surface–subsurface flows in regional scale

      Vincenzo Casulli

      Article first published online: 29 MAY 2015 | DOI: 10.1002/fld.4047

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      The governing differential equations are approximated by semi-implicit finite difference and finite volume methods. The discrete free-surface equation yields a reduced mildly nonlinear system from which bothfree-surface and fluid volumes are determined simultaneously. Exact mass balance is guaranteed everywhere, in presence of wetting and drying, in pressurized flow conditions, in inhomogeneous porous medium, and during free-surface transition. The proposed method solves coupled surface–subsurface flows and simplifies to either a surface or a subsurface discrete model as particular cases.

    16. Higher-order surface treatment for discontinuous Galerkin methods with applications to aerodynamics

      A. S. Silveira, R. C. Moura, A. F. C. Silva and M. A. Ortega

      Article first published online: 26 MAY 2015 | DOI: 10.1002/fld.4050

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      When dealing with high-order numerical methods, an adequate treatment of curved surfaces is required not only to maintain the high-order near surfaces but also to avoid steady-state convergence issues or non-physical phenomena. This study describes how non-uniform rational B-splines (NURBS) data is incorporated in a discontinuous Galerkin setting. We discuss how and why higher-order NURBS can be employed within standard NURBS-based boundary treatment techniques to reduce computational overhead and implementation complexity.

    17. Radial basis function (RBF)-based parametric models for closed and open curves within the method of regularized stokeslets

      Varun Shankar and Sarah D. Olson

      Article first published online: 26 MAY 2015 | DOI: 10.1002/fld.4048

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      We present a comparison of spherical basis function (SBF) and radial basis function (RBF) parametric models for the modeling of open elastic curves immersed in viscous fluids. We present convergence results on static test problems using parametric collocation at Chebyshev and Mapped Chebyshev nodes. We then extend the method of regularized Stokeslets (MRS) with the SBF and RBF geometric models and present the result of time-dependent fluid-structure interaction simulations of both open and closed elastic structures.

    18. Numerical simulations of fluid–structure interaction based on Cartesian grids with two boundary velocities

      Ching-Jer Huang, Chun-Yuan Lin and Chih-Hsin Chen

      Article first published online: 26 MAY 2015 | DOI: 10.1002/fld.4046

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      Two boundary velocities are introduced to satisfy the no-slip boundary condition and the continuity equation around the immersed solid boundary. The first, called the solid boundary velocity, is determined from the no-slip boundary condition, while the second, called the mass-conserving boundary velocity, is determined from the continuity equation around the solid boundary. The conventional projection method is further modified to incorporate the solid and mass-conserving boundary velocities into the solution algorithm.

    19. An augmented velocity–vorticity–pressure formulation for the Brinkman equations

      Verónica Anaya, Gabriel N. Gatica, David Mora and Ricardo Ruiz-Baier

      Article first published online: 12 MAY 2015 | DOI: 10.1002/fld.4041

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      We propose and analyze a mixed finite element method for the Brinkman problem, augmented with least-squares terms arising from the constitutive equation and from the incompressibility condition. Both the continuous and discrete augmented formulations are well posed. A priori error estimates and the corresponding convergence rates are established, and we derive two reliable and efficient residual-based a posteriori error estimators. Several numerical results illustrate the performance of the method and confirm the properties of the estimators.

    20. Large eddy simulation of incompressible free round jet with discontinuous Galerkin method

      M. Marek, A. Tyliszczak and A. Bogusławski

      Article first published online: 8 MAY 2015 | DOI: 10.1002/fld.4043

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      The discontinuous Galerkin method is applied to simulation of incompressible free round turbulent jet using Vreman model for large eddy simulation with eddy viscosity approach. The solution algorithm is based on the classical projection method. For time integration, explicit Runge–Kutta method is employed. The computational meshes consist of hexahedral elements with flat faces. All flow variables are expressed with modal expansions of the same order. The statistics of centerline flow velocity show satisfactory agreement with the reference data.

    21. Fast solvers for unsteady thermal fluid structure interaction

      P. Birken, T. Gleim, D. Kuhl and A. Meister

      Article first published online: 28 APR 2015 | DOI: 10.1002/fld.4040

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      We introduce extrapolation in time into a time-adaptive method for partitioned thermal fluid-structure interaction by designing linear and quadratic extrapolation methods in time for SDIRK2. Tests of these and of standard vector extrapolation techniques show that we reduce the number of fixed point iterations further by up to a factor of two with linear extrapolation performing better than quadratic. This leads to schemes that can use less than two iterations per time step.

    22. Incompressible fluid flow simulations with flow rate as the sole information at synthetic inflow and outflow boundaries

      S. -C. Xue and G. W. Barton

      Article first published online: 27 APR 2015 | DOI: 10.1002/fld.4039

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      A solution procedure without the need for specification of flow profiles at any of open boundaries (either inflow or outflow) when simulating incompressible fluid flow with an unstructured finite volume method is proposed and numerically examined. With the methodology, the flow at any open boundary is not necessarily assumed to be unidirectional or fully developed. As a result, open boundaries can be put at arbitrary locations along the flow channels so that the computational domain can be highly truncated.

    23. Vortex penalization method for bluff body flows

      Chloe Mimeau, Federico Gallizio, Georges-Henri Cottet and Iraj Mortazavi

      Article first published online: 22 APR 2015 | DOI: 10.1002/fld.4038

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      This work presents a hybrid vortex-immersed boundary method in order to handle transitional and highly transitional flows past complex bodies. We highlight in this paper the numerical and practical interests of coupling hybrid particle methods and the penalization technique exposing two different types of applications: the simulation of a rotating turbine blade for a Reynolds number up to 10,000 and the analysis of the flow around a semi-circular cylinder covered with a porous coating for passive flow control issues.

    24. A kernel gradient free (KGF) SPH method

      C. Huang, J. M. Lei, M. B. Liu and X. Y. Peng

      Article first published online: 21 APR 2015 | DOI: 10.1002/fld.4037

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      This paper presents an improved finite particle method (FPM), which only involves kernel function itself in kernel and particle approximation and therefore is a kernel gradient-free (KGF) SPH method. As shown in the figure (vertical velocity profiles along the horizontal centerline for a lid-driven shear cavity problem), KGF-SPH has a comparable accuracy with FPM, which is of higher order accuracy than conventional SPH, while KGF-SPH is more flexible in selecting kernel functions than SPH and FPM.

    25. Practical aspects of p-multigrid discontinuous Galerkin solver for steady and unsteady RANS simulations

      Zhenhua Jiang, Chao Yan, Jian Yu and Wu Yuan

      Article first published online: 21 APR 2015 | DOI: 10.1002/fld.4035

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      Two types of multigrid methods and a multigrid preconditioned Newton–Krylov method are investigated, and both steady and unsteady algorithms are considered. For steady algorithms, a novel CFL scheduling strategy and a modified linear smoothing technique are proposed to enhance robustness and improve efficiency, respectively. For unsteady algorithms, special attention has been paid to the cycling strategy and the full multigrid technique, and we point out a significant difference on the parameter selection for unsteady computations.

    26. A sensitivity analysis on the parameter of the GLS method for a second-gradient theory of incompressible flow

      Antônio G. Barbosa da Cruz, Eduardo G. Dutra do Carmo and Fernando P. Duda

      Article first published online: 14 APR 2015 | DOI: 10.1002/fld.4033

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      Driven-cavity flow problem for a second-gradient fluid with generalized adherence boundary conditions (ϵ = 0.1). The figure shows that the pressure field can be gradually stabilized by using an appropriate Galerkin least square stabilization parameter α. For a small α, oscillations remain in the pressure field. A large value of α, however, leads to over-pressure stabilization which fails to capture the physics of the problem, since the pressure is singular at the top corners.

    27. Stabilized finite element method for flows with multiple reference frames

      L. Pauli, J. W. Both and M. Behr

      Article first published online: 13 APR 2015 | DOI: 10.1002/fld.4032

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      We present a space-time finite element method capable of dealing with flows in multiple co-rotating reference frames. Because equal order interpolation is used for all degrees of freedom, Galerkin/least-squares stabilization is applied. We give a detailed derivation of the equations involved, introduce the variational form, present the stabilization parameters, and also discuss implementation issues. Numerical examples in 2D and 3D show generality and efficiency of the method, if steady-state behavior of rotating components is sufficient for the CFD analysis.

    28. Jacobian-free Newton–Krylov method for implicit time-spectral solution of the compressible Navier-Stokes equations

      Peter J. Attar

      Article first published online: 9 APR 2015 | DOI: 10.1002/fld.4036

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      A Jacobian-free Newton–Krylov method is introduced for the implicit time-spectral solution of the compressible Navier–Stokes equations. A new preconditioner for the Krylov solver (GMRES) is presented, which consists of an approximate factorization of an approximation to the full time-spectral Jacobian. Numerical experiments to characterize the method consist of the simulation of the laminar vortex shedding over a circular cylinder at two post-critical Reynolds numbers.

    29. High-order compact finite difference schemes for the vorticity–divergence representation of the spherical shallow water equations

      Sarmad Ghader and Jan Nordström

      Article first published online: 9 APR 2015 | DOI: 10.1002/fld.4034

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      The super compact finite difference method and the combined compact finite difference method are applied to spatial differencing of the spherical shallow water equations. To advance the solution in time, a semi-implicit Runge–Kutta method is developed and used. The convergence rate for all methods is studied. Assessment of the results shows that the sixth-order and eighth-order combined compactfinite difference method and the sixth-order and eighth-order super compact finite difference methods lead to a remarkable improvement of the solution over the fourth-order compact method.

    30. An adaptive multiresolution semi-intrusive scheme for UQ in compressible fluid problems

      R. Abgrall, P. M. Congedo, G. Geraci and G. Iaccarino

      Article first published online: 27 MAR 2015 | DOI: 10.1002/fld.4030

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      We describe and apply a multiresolution strategy into a scheme able to propagate uncertainties in unsteady compressible fluid applications. Reference test cases are performed to demonstrate the convergence properties and the efficiency. The figure shows the evolution of the number of stochastic cells employed for each physical location for the adaptive scheme with and without essentially non-oscillatory reconstruction for a Shock tube problem.


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