Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number

Wiart, Corentin Carton de; Hillewaert, Koen; Duponcheel, Matthieu; Winckelmans, Grégoire

doi:10.1002/fld.3859

Cited by 101 publications

(59 citation statements)

References 16 publications

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“…Nevertheless, 5 predicted by the FR schemes was found to converge to the correct solution with grid refinement, as was also observed by Chapelier et al [5]. Figure 9 (a -f) displays energy spectra of the p 3 (a, b), p 4 (c, d) and p 5 (e, f) FR-nDG, FR-SD and OFR solutions on the coarse and medium meshes at time t = 9 seconds compared to the reference solution computed using a pseudo-spectral method on a 512 3 mesh by Carton de Wiart et al [37]. Note that the p 5 FR-SD scheme on the coarse mesh is not displayed because it diverged prior to t = 9 seconds.…”

Section: Compressibility Effectssupporting

confidence: 64%

“…The TGV was one of the problems in the 1st, 2nd and 3rd International Workshops on High-Order CFD Methods [38][39][40]) and is considered to be a challenging test for high-order methods. Various authors have used high-order discontinuous methods on the TGV test case with excellent results, including classical DG [5,36,37], DGSEM [9,29] and a preliminary study by Bull and Jameson using the FR-SD scheme [41]. Wang gives a review of the current status of high-order methods for several problems including the TGV [1].…”

Section: The Taylor-green Vortexmentioning

confidence: 99%

“…These are also plotted in some figures for comparison. Energy spectra are compared to a pseudo-spectral computation on a 512 3 element mesh computed by Carton de Wiart et al [37].…”

Section: A Problem Setupmentioning

confidence: 99%

“…Numerical dissipation reduces the sharpness with which velocity gradients are approximated [35]. It can be estimated by the difference between 1 and 2 and will be nonzero for any method which is not kinetic-energy-preserving [1,37]. This is a useful error measure in that it is independent of the reference solution and could be used in more complex flows [1].…”

Section: B Diagnosticsmentioning

confidence: 99%

“…Gassner [9], Diosady and Murman [29], Chapelier et al [5], Don et al [35], Johnsen et al [36] and Carton de Wiart et al [37]. The TGV was identified as a challenging problem for high-order methods in the 1st, 2nd and 3rd International Workshops on High-Order CFD Methods [38][39][40].…”

mentioning

confidence: 99%

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Simulation of the Taylor–Green Vortex Using High-Order Flux Reconstruction Schemes

Bull

Jameson

2015

AIAA Journal

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Section: Compressibility Effectssupporting

confidence: 64%

Section: The Taylor-green Vortexmentioning

confidence: 99%

“…These are also plotted in some figures for comparison. Energy spectra are compared to a pseudo-spectral computation on a 512 3 element mesh computed by Carton de Wiart et al [37].…”

Section: A Problem Setupmentioning

confidence: 99%

Section: B Diagnosticsmentioning

confidence: 99%

mentioning

confidence: 99%

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Simulation of the Taylor–Green Vortex Using High-Order Flux Reconstruction Schemes

Bull

Jameson

2015

AIAA Journal

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Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model

Fehn

Wall

Kronbichler

2019

Numer Methods Biomed Eng

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This work uses high-order discontinuous Galerkin discretization techniques as a generic, parameter-free, and reliable tool to accurately predict transitional and turbulent flows through medical devices. Flows through medical devices are characterized by moderate Reynolds numbers and typically involve different flow regimes such as laminar, transitional, and turbulent flows. Previous studies for the FDA benchmark nozzle model revealed limitations of Reynolds-averaged Navier-Stokes turbulence models when applied to more complex flow scenarios. Recent works based on large-eddy simulation approaches indicate that these limitations can be overcome but also highlight potential limitations due to a high sensitivity with respect to numerical parameters. The novel methodology presented in this work is based on two key ingredients. Firstly, we use high-order discontinuous Galerkin methods for discretization in space yielding a discretization approach that is robust, accurate, and generic. The inherent dissipation properties of high-order discontinuous Galerkin discretizations render this approach well-suited for transitional and turbulent flow simulations. Secondly, a precursor simulation approach is applied in order to correctly predict the inflow boundary condition for the whole range of laminar, transitional, and turbulent flow regimes. This approach eliminates the need to fit parameters of the numerical solution approach. We investigate the whole range of Reynolds numbers as suggested by the FDA benchmark nozzle problem in order to critically assess the predictive capabilities of the solver. The results presented in this study are compared to experimental data obtained by particle image velocimetry demonstrating that the approach is capable of correctly predicting the flow for different flow regimes.

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Validation and scalability of an open source parallel flow solver

Bricteux

Zeoli

Bourgeois

2017

Concurrency and Computation

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SummaryThis article concerns validation and verification (V&V) of the open source OpenFOAM incompressible flow solver that is widely used in both research and industry for the simulation of turbulent flows. Its numerical discretization scheme relies on classical finite volumes that are second order in space on regular grids. The solver is benchmarked using a challenging test case for which direct numerical simulation (DNS) reference data exist. The geometrical configuration of this flow is very simple, yet the behavior of the flow is 3D, complex, and unsteady, requiring an accurate flow solver to capture the associated physics. The physical problem addressed here requires huge computational grids. Computations are thus carried using parallel domain decomposition methods on a fairly large number of cores. The validation study performed here is particularly severe as it consists in comparing OpenFOAM results with DNS data obtained using high‐order codes. As simulations of turbulent flows require great computational resources, results concerning strong and weak scalability of the OpenFOAM flow solver are also presented. The performances of the code are assessed on two different HPC infrastructures. The experiences carried here show that OpenFOAM scales fairly up to 1000 cores on a Tier‐1cluster. The influences of the processor hardware and network topology are also highlighted. This study also provides profiling diagnostics thanks to the Integrated Performance Monitor (IPM).

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Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number

Cited by 101 publications

References 16 publications

Simulation of the Taylor–Green Vortex Using High-Order Flux Reconstruction Schemes

Simulation of the Taylor–Green Vortex Using High-Order Flux Reconstruction Schemes

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: A comprehensive LES study of the FDA benchmark nozzle model

Validation and scalability of an open source parallel flow solver

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