High-Order Hybrid RANS/LES Strategy for Industrial Applications

Pont, Grégoire; Brenner, Pierre; Cinnella, Paola; Robinet, Jean-Christophe

doi:10.1007/978-3-319-63212-4_39

Cited by 7 publications

(6 citation statements)

References 8 publications

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“…In summary, the proposed hybrid scheme represents a promising candidate for compressible RANS/LES computations in complex geometries of industrial interest. The present methodology has already been applied to detailed analyses of the flow physics about space launchers [65,39,66] On the other hand, average values of the conservative variables can be combined to compute:…”

Section: Resultsmentioning

confidence: 99%

Multiple-correction hybrid k-exact schemes for high-order compressible RANS-LES simulations on fully unstructured grids

Pont

Brenner

Cinnella

et al. 2017

Journal of Computational Physics

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Primitive variable reconstruction Recentering process General grid Hybrid RANS/LES A Godunov's type unstructured finite volume method suitable for highly compressible turbulent scale-resolving simulations around complex geometries is constructed by using a successive correction technique. First, a family of k-exact Godunov schemes is developed by recursively correcting the truncation error of the piecewise polynomial representation of the primitive variables. The keystone of the proposed approach is a quasi-Green gradient operator which ensures consistency on general meshes. In addition, a high-order singlepoint quadrature formula, based on high-order approximations of the successive derivatives of the solution, is developed for flux integration along cell faces. The proposed family of schemes is compact in the algorithmic sense, since it only involves communications between direct neighbors of the mesh cells. The numerical properties of the schemes up to fifth-order are investigated, with focus on their resolvability in terms of number of mesh points required to resolve a given wavelength accurately. Afterwards, in the aim of achieving the best possible trade-off between accuracy, computational cost and robustness in view of industrial flow computations, we focus more specifically on the third-order accurate scheme of the family, and modify locally its numerical flux in order to reduce the amount of numerical dissipation in vortex-dominated regions. This is achieved by switching from the upwind scheme, mostly applied in highly compressible regions, to a fourth-order centered one in vortex-dominated regions. An analytical switch function based on the local grid Reynolds number is adopted in order to warrant numerical stability of the recentering process. Numerical applications demonstrate the accuracy and robustness of the proposed methodology for compressible scale-resolving computations. In particular, supersonic RANS/LES computations of the flow over a cavity are presented to show the capability of the scheme to predict flows with shocks, vortical structures and complex geometries.

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Section: Resultsmentioning

confidence: 99%

Multiple-correction hybrid k-exact schemes for high-order compressible RANS-LES simulations on fully unstructured grids

Pont

Brenner

Cinnella

et al. 2017

Journal of Computational Physics

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“…The number of cells of rank 1 to be treated due to interaction with the lower class depends only on the effective width of the space scheme stencil. Indeed, for any MUSCL formulation on unstructured grid, one needs the cell‐centered gradient (and all cell‐centered derivatives used by higher order reconstructions when necessary) that is calculated from the information provided by the direct surrounding cells (and also several more distant cells for higher order reconstructions 19,21 ). Multislope processes on extended stencil 28‐33 are also possible.…”

Section: Temporal Adaptive Heun's Schemementioning

confidence: 99%

“…It must be underlined that the adaptive version of the Heun's scheme was briefly described in Reference 15, and the full description of the scheme implemented in FLUSEPA, including mathematical properties, is also one objective of the article. As shown in References 16‐20, the time adaptive procedure is the basic time integration ingredient used in research and industrial applications with FLUSEPA. Mathematical analysis including order of accuracy, stability, and spectral behavior is then presented.…”

Section: Introductionmentioning

confidence: 99%

Mathematical analysis of the spatial coupling of an explicit temporal adaptive integration scheme with an implicit time integration scheme

Muscat

Puigt

Montagnac

et al. 2020

Numerical Methods in Fluids

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The Reynolds‐averaged Navier–Stokes equations and the large eddy simulation equations can be coupled using a transition function to switch from a set of equations applied in some areas of a domain to the other set in the other part of the domain. Following this idea, different time integration schemes can be coupled. In this context, we developed a hybrid time integration scheme that spatially couples the explicit scheme of Heun and Crank–Nicolson's implicit scheme using a dedicated transition function. This scheme is linearly stable and second‐order accurate. In this article, an extension of this hybrid scheme is introduced to deal with a temporal adaptive procedure. The idea is to treat the time integration procedure with unstructured grids as it is performed with Cartesian grids and local mesh refinement. Depending on its characteristic size, each mesh cell is assigned to a rank. And for two cells from two consecutive ranks, the ratio of the associated time steps for time marching the solutions is 2. As a consequence, the cells with the lowest rank iterate more than the other ones to reach the same physical time. In a finite‐volume context, a key ingredient is to keep the conservation property for the interfaces that separate two cells of different ranks. After introducing the different schemes, the article recalls briefly the coupling procedure, and details the extension to the temporal adaptive procedure. The new time integrator is validated with the propagation of 1D wave packet, the Sod's tube, and the advection of 2D vortex.

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“…Scale-resolving methods are a promising alternative to approach the complexity of turbulent combustion in liquid rocket engines. With growing computational resources, the applicability window for Large Eddy Simulations (LES) has experienced a significant widening over the last years [24,25,26]. Despite their higher computational cost, this method circumvents most of the shortcomings associated with RANS by resolving the largest vortical structures.…”

Section: Introductionmentioning

confidence: 99%

Subgrid Turbulent Flux Models for Large Eddy Simulations of Diffusion Flames in Space Propulsion

Martinez-Sanchis,

Sternin,

Banik

et al. 2024

Preprint

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Subgrid scale models for unresolved turbulent fluxes are investigated with a focus on combustion for space propulsion applications. An extension to the gradient model is proposed, introducing a dependency on the local burning regime. The dynamic behavior of the model's coefficients is investigated, and scaling laws are studied. The discussed models are validated using a DNS database of a high-pressure turbulent fuel-rich methane-oxygen diffusion flame. The operating point and turbulence characteristics are selected to resemble those of modern combustors for space propulsion applications to support the future usage of the devised model in this context.

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High-Order Hybrid RANS/LES Strategy for Industrial Applications

Cited by 7 publications

References 8 publications

Multiple-correction hybrid k-exact schemes for high-order compressible RANS-LES simulations on fully unstructured grids

Multiple-correction hybrid k-exact schemes for high-order compressible RANS-LES simulations on fully unstructured grids

Mathematical analysis of the spatial coupling of an explicit temporal adaptive integration scheme with an implicit time integration scheme

Subgrid Turbulent Flux Models for Large Eddy Simulations of Diffusion Flames in Space Propulsion

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