Multi‐size‐mesh multi‐time‐step algorithm for noise computation on curvilinear meshes

Garrec, Thomas Le; Gloerfelt, Xavier; Corre, Christophe Eric

doi:10.1002/fld.3836

Cited by 4 publications

(4 citation statements)

References 65 publications

(130 reference statements)

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“…While the finite difference formalism could be retained by using a coordinate transformation method allowing the passage between a curvilinear physical mesh and a unitary Cartesian computational mesh [51], it is proposed to switch back to the finite-volume formalism already present in the Navier-Stokes solver. This ensures greater robustness and a lower computational cost.…”

Section: B Computation Of Gradients On a Structured Grid Of Arbitrary...mentioning

confidence: 99%

A hybrid lattice Boltzmann - Navier-Stokes method on overset grids

Suss

Mary

Garrec

et al. 2023

AIAA AVIATION 2023 Forum

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This paper presents an overset grid strategy in the context of a hybrid lattice Boltzmann -Navier-Stokes method for unsteady aerodynamic and aeroacoustic applications. While the overset grid approach is usually used to couple multiple overlapping grids with different mesh topologies together through interpolations, it is proposed to extend this methodology by enabling to switch between numerical methods across the grids making up the computational domain. Thereby, one can reach nearly optimal running conditions in terms of meshing strategy and numerical properties for the simulation of high Reynolds number flows. The key feature of this work lies in the way the information exchange is performed at the interface between the lattice Boltzmann method (applied on Cartesian grids) and the finite-volume Navier-Stokes method (dedicated to curvilinear meshes). All the numerical aspects of the coupling procedure are thoroughly discussed and the developed strategy is assessed on unsteady test cases representative of aerodynamic and aeroacoustic problems.

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Section: B Computation Of Gradients On a Structured Grid Of Arbitrary...mentioning

confidence: 99%

A hybrid lattice Boltzmann - Navier-Stokes method on overset grids

Suss

Mary

Garrec

et al. 2023

AIAA AVIATION 2023 Forum

View full text Add to dashboard Cite

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“…where J is the Jacobian of the coordinate transform and F, G and H are the sum of the inviscid and visco-thermal fluxes (see [21,22]). The vector f at the right-hand side of Eq.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Some coefficients a j can be used to minimize the dispersion error in the wavenumber space. The Dispersion-Relation-Preserving (DRP) optimization used in the present study is described in [22,34]. Our baseline scheme will be an elevenpoint-stencil optimized finite-difference scheme [34], referred to as DRP11.…”

Section: Numerical Schemesmentioning

confidence: 99%

Large Eddy Simulation Requirements for the Flow over Periodic Hills

Gloerfelt

Cinnella

2019

Flow Turbulence Combust

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Large eddy simulations are carried out for flows in a channel with streamwise-periodic constrictions, a well-documented benchmark case to study turbulent flow separation from a curved surface. Resolution criteria such as wall units are restricted to attached flows and enhanced criteria, such as energy spectra or two-point correlations, are used to evaluate the effective scale separation in the present large eddy simulations. A detailed analysis of the separation above the hill crest and of the early shear layer development shows that the delicate flow details in this region may be hardly resolved on coarse grids already at Re = 10 595, possibly leading to a non monotonic convergence with mesh refinement. The intricate coupling between numerical and modeling errors is studied by means of various discretization schemes and subgrid models. It is shown that numerical schemes maximizing the resolution capabilities are a key ingredient for obtaining high-quality solutions while using a reduced number of grid points. On this respect, the introduction of a sharp enough filter is an essential condition for separating accurately the resolved scales from the subfilter scales and for removing ill-resolved structures. The high-resolution approach is seen to provide solutions in very good overall agreement with the available experimental data for a range of Reynolds numbers (up to 37 000) without need for significant grid refinement.

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“…Much progress has been made towards these objectives using optimized high-order structured-grid-based schemes (see [11,14,15]). Significant efforts continue in application of high-order schemes on structured curvilinear grids, including overset grids [16][17][18][19] and multi-step time advancement [20] and unstructured mesh schemes such as the discontinuous Galerkin scheme [21] for aeroacoustic applications. Figure 1 shows two examples from recent calculations using a high-order compact overset scheme.…”

Section: (A) Computational Algorithmsmentioning

confidence: 99%

A second golden age of aeroacoustics?

Lele

Nichols

2014

Phil. Trans. R. Soc. A.

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In 1992, Sir James Lighthill foresaw the dawn of a second golden age in aeroacoustics enabled by computer simulations (Hardin JC, Hussaini MY (eds) 1993 Computational aeroacoustics, New York, NY: Springer (doi:10.1007). This review traces the progress in large-scale computations to resolve the noise-source processes and the methods devised to predict the far-field radiated sound using this information. Keeping focus on aviation-related noise sources a brief account of the progress in simulations of jet noise, fan noise and airframe noise is given highlighting the key technical issues and challenges. The complex geometry of nozzle elements and airframe components as well as the high Reynolds number of target applications require careful assessment of the discretization algorithms on unstructured grids and modelling compromises. High-fidelity simulations with 200-500 million points are not uncommon today and are used to improve scientific understanding of the noise generation process in specific situations. We attempt to discern where the future might take us, especially if exascale computing becomes a reality in 10 years. A pressing question in this context concerns the role of modelling in the coming era. While the sheer scale of the data generated by large-scale simulations will require new methods for data analysis and data visualization, it is our view that suitable theoretical formulations and reduced models will be even more important in future.

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Multi‐size‐mesh multi‐time‐step algorithm for noise computation on curvilinear meshes

Abstract: International audienc

Cited by 4 publications

References 65 publications

A hybrid lattice Boltzmann - Navier-Stokes method on overset grids

A hybrid lattice Boltzmann - Navier-Stokes method on overset grids

Large Eddy Simulation Requirements for the Flow over Periodic Hills

A second golden age of aeroacoustics?

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