High-Order Curvilinear Simulations of Flows Around Non-Cartesian Bodies

Marsden, Olivier; Bogey, Christophe; Bailly, Christophe

doi:10.1142/s0218396x05002906

Cited by 41 publications

(20 citation statements)

References 24 publications

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“…Characteristics regarding dispersion and dissipation for the spatial differencing schemes, filters, and the time-integration scheme can be found in previous papers [2,20]. This solver has been validated on reference flow configurations and on a demanding multibody acoustic scattering test case, yielding results in good agreement with experimental and analytical data [12].…”

Section: Numerical Aspectsmentioning

confidence: 88%

“…More recently, work on high-accuracy computations around curved geometries has shown that high-precision methods are not restricted to simulations around Cartesian geometries [9][10][11][12]. Cylinders and airfoils have so far been the most-studied curved geometries, due to the large amount of experimental data available and the fundamental academic interest that they present.…”

Section: Fmentioning

confidence: 99%

“…Examples of 2-D acoustic diffraction and aeroacoustic flows successfully simulated with the solver described in this work can be found in Marsden et al [12]. Parallelization of the code is based on the MPI interface.…”

Section: Numerical Aspectsmentioning

confidence: 99%

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Direct Noise Computation of the Turbulent Flow Around a Zero-Incidence Airfoil

2008

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A large eddy simulation of the flow around a NACA 0012 airfoil at zero incidence is performed at a chord-based Reynolds number of 500,000 and a Mach number of 0.22. The aim is to show that high-order numerical schemes can successfully be used to perform direct acoustic computations of compressible transitional flow on curvilinear grids. At a Reynolds number of 500,000, the boundary layers around the airfoil transition from an initially laminar state to a turbulent state before reaching the trailing edge. Results obtained in the large eddy simulation show a well-placed transition zone and turbulence levels in the boundary layers that are in agreement with experimental data. Furthermore, the radiated acoustic field is determined directly by the large eddy simulation, without the use of an acoustic analogy. Third-octave acoustic spectra are compared favorably with experimental data.

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Section: Numerical Aspectsmentioning

confidence: 88%

Section: Fmentioning

confidence: 99%

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Direct Noise Computation of the Turbulent Flow Around a Zero-Incidence Airfoil

2008

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“…In order to control this in aero-acoustics simulations, high-order filters which remove grid-to-grid oscillation, can be employed. For instance, to remove π-modes, the velocity field v may be filtered every n time steps (with, e.g., n = 5 or n = 1 depending on the computational grid and the case [19]). In case such a filter is conservative, we have for any function f (x) in the domain Ω, and using f to denote the filtered…”

Section: Conservation Propertiesmentioning

confidence: 99%

Globally conservative high-order filters for large-eddy simulation and computational aero-acoustics

Wu¹,

Meyers²

2011

Computers & Fluids

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In computational aero-acoustics, large-eddy simulations (LES) or direct numerical simulations (DNS) are often employed for flow computations in the source region. As part of the numerical implementation or required modeling, explicit spatial filters are frequently employed. For instance, in LES spatial filters are employed in the formulation of various subgrid-scale (SGS) models such as the dynamic model or the variational multi-scale (VMS) Smagorinsky model; both in LES or DNS, spatial high-pass filters are often used to remove undesired grid-to-grid oscillations.Though these type of spatial filters adhere to local accuracy requirements, in practice, they often destroy global conservation properties in the presence of non-periodic boundaries conditions. This leads to the incorrect prediction of the flow properties near the hard boundaries, such as walls. In the current work, we present globally conservative high-order accurate filters, which combine traditional filters at the internal points with one-sided conservative filters near the wall boundary. We test these filters to remove grid-to-grid oscillations both in a channel-flow case and in 2D cavity flow. We find that the use of a non-conservative filter leads to erroneous predictions of the skin friction in channel flows up to 30%. In the cavity-flow simulations, the use of non-conservative filters to remove grid-to-grid oscillations leads to important shifts in the Strouhal number of the dominant mode, and a change of the flow pattern inside the cavity. In all cases, the use of conservative high-order filter formulations to remove grid-to-grid oscillations lead to very satisfactory results. Finally, in our channel-flow test case, we also illustrate the importance of using conservative filters for the formulation of the VMS Smagorinsky model.

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“…The spatial derivative in Equation (16) are approximated by the spatial scheme in Equation (4) and the time integration is performed with RK4 yielding:…”

Section: Application On Moving Gridsmentioning

confidence: 99%

A High-Order Algorithm for Compressible LES in CAA Applications

Daude¹,

Emmert²,

Lafon³

et al. 2008

14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference)

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A high-order finite-difference algorithm is proposed in the aim of LES and CAA applications. The subgrid scale dissipation is performed by the explicit high-order numerical filter used for numerical stability purpose. A shock-capturing non-linear filter is also implemented to deal with compressible discontinuous flows. In order to tackle complex geometries, an overset-grid approach is used. High-order interpolations make it possible to ensure the communication between overlapping domains. The whole algorithm is first validated on canonical flow problems to illustrate both its properties for shock-capturing as well as for accurate wave propagation. Then, the influence of the multi-domain approach on the high-order spatial accuracy is assessed. Afterwards, the algorithm is extended to dynamic mesh applications with overlapping grids. Finally, two industrial cases are presented to highlight the potential of the proposed algorithm.

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High-Order Curvilinear Simulations of Flows Around Non-Cartesian Bodies

Cited by 41 publications

References 24 publications

Direct Noise Computation of the Turbulent Flow Around a Zero-Incidence Airfoil

Direct Noise Computation of the Turbulent Flow Around a Zero-Incidence Airfoil

Globally conservative high-order filters for large-eddy simulation and computational aero-acoustics

A High-Order Algorithm for Compressible LES in CAA Applications

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