An implicit mixed finite-volume-finite-element method for solving 3D turbulent compressible flows

Hallo, L.; Ribault, Catherine; Buffat, Marc

doi:10.1002/(sici)1097-0363(19971215)25:11<1241::aid-fld595>3.0.co;2-1

Cited by 22 publications

(7 citation statements)

References 14 publications

(11 reference statements)

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“…The numerical method is a mixed finite volume-finite element method, 16 , 13 which has been developed to solve the unsteady Navier-Stokes equations. It operates on unstructured grids, using 2 nd order MUSCL upwind formulation ( βγ scheme) for the convective fluxes and a 2 nd order finite element method for the diffusive fluxes.…”

Section: Methodsmentioning

confidence: 99%

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Self-Adaptive Upwinding for Large Eddy Simulation of Turbulent Flows on Unstructured Elements

Tajallipour

Owlam

Paraschivoiu

2009

Journal of Aircraft

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A self-adaptive upwinding method for Large Eddy Simulation (LES) is proposed to reduce the numerical dissipation of a low order numerical scheme on unstructured elements. This method is used to extend an existing Reynolds-averaged Navier-Stokes (RANS) code to an LES code by adjusting the contribution of the upwinding term to the convective flux. This adjustment is essentially controlled by the intensity of the local wiggle and reduces the upwind contribution in Roe MUSCL scheme. First, the stability characteristic of the new scheme is studied, using a channel flow stability test. It is essential to ensure that the proposed scheme is able to adjust upwinding in the presence of very high gradients and prohibits the divergence of the simulation. Second, the decaying isotropic turbulence is simulated in order to study the capability of the new scheme in generating the suitable decaying rate for the total kinetic energy and also its influence over the slope of energy spectrum at different computational times. Finally, the flow separation phenomena over a NACA0025 profile is numerically investigated and results are compared with experimental data.

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Section: Methodsmentioning

confidence: 99%

“…This approach is used in order to improve the precision of the method without changing the approximation space. 16 , 13…”

Section: A Self-adaptive Upwinding Schemementioning

confidence: 99%

Self-Adaptive Upwinding for Large Eddy Simulation of Turbulent Flows on Unstructured Elements

Tajallipour

Owlam

Paraschivoiu

2009

Journal of Aircraft

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“…We mention that numerical tests of various FE-FV discretizations of compressible flows are reported in [10], [23,Chapter 4.4] and [29]. Of course, combined FE-FV methods are not only applied to scalar convection-diffusion equations, but also to other problems.…”

Section: Introductionmentioning

confidence: 99%

$L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

Deuring¹,

Eymard²,

Mildner³

2015

SIAM J. Numer. Anal.

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We consider a time-dependent and a steady linear convection-diffusion equation. These equations are approximately solved by a combined finite element-finite volume method: the diffusion term is discretized by Crouzeix-Raviart piecewise linear finite elements on a triangular grid, and the convection term by upwind barycentric finite volumes. In the unsteady case, the implicit Euler method is used as time discretization. This scheme is shown to be unconditionally L 2-stable, uniformly with respect to the diffusion coefficient.

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“…The applied numerical method is a mixed finite‐volume‐finite element method (Cadiou, 2003; Hallo et al , 1997), which has been developed to solve the unsteady Navier‐Stokes equations. It operates on unstructured grids, using second order Roe‐MUSCL upwind formulation (βγ‐scheme) for the convective fluxes and a second order finite element method for the diffusive fluxes.…”

Section: Methodsmentioning

confidence: 99%

Large‐eddy simulation of a compressible free jet flow on unstructured elements

Tajallipour

Kumar²,

Paraschivoiu³

2013

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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PurposeThe purpose of this paper is to investigate a large‐eddy simulation, using low order numerical discretization and upwinding schemes on unstructured grids, for a turbulent free jet at Mach number 0.95. The accuracy and stability performance is discussed for the finite element/volume upwinding numerical code used.Design/methodology/approachThis code is equipped with a self‐adaptive upwinding method which has been previously developed to reduce the numerical dissipation of applied low order flux calculation on unstructured elements using Roe's scheme. Herein, this method is used to numerically investigate a high Reynolds, compressible turbulent free jet and compare the results with a recently published set of experimental data. The effect of grid size is also investigated. A reasonable good agreement with the experimental measurements is obtained.FindingsBased on the results, it is concluded that the developed self‐adaptive upwinding scheme provides a considerably better emulation of the flow regime in comparison to the full‐upwinding scheme. Different case studies have been carried out to assess the performance of self‐adaptive upwinding method and the effect of the subgrid model.Originality/valueThis paper presents an original research on self‐adaptive upwinding scheme and the effect of the subgrid model on a compressible turbulent free jet.

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An implicit mixed finite-volume-finite-element method for solving 3D turbulent compressible flows

Cited by 22 publications

References 14 publications

Self-Adaptive Upwinding for Large Eddy Simulation of Turbulent Flows on Unstructured Elements

Self-Adaptive Upwinding for Large Eddy Simulation of Turbulent Flows on Unstructured Elements

$L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

Large‐eddy simulation of a compressible free jet flow on unstructured elements

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