On the stability and dissipation of wall boundary conditions for compressible flows

Lamarque, Nicolas; Porta, Mauro; Nicoud, Franck; Poinsot, Thiérry

doi:10.1002/fld.2060

Cited by 6 publications

(3 citation statements)

References 40 publications

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“…The current implementation for strong discontinuous spectral methods appears to be at least as effective as those from finite volume solvers. [64]. Hence, it is a particular case of the TDIBC with B = 1 (or infinite reactance).…”

Section: D Vortex Convectionmentioning

confidence: 99%

Strong compact formalism for characteristic boundary conditions with discontinuous spectral methods

Fiévet

Deniau

Piot

2020

Journal of Computational Physics

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Characteristic boundary conditions for the Navier-Stokes equations (NSCBC) are implemented for the first time with discontinuous spectral methods, namely the spectral difference and flux reconstruction. The implementation makes use of the resolution by these methods of the strong form of the Navier-Stokes equations by applying these conditions through a flux balance regularization which takes the form of a generalized element-compact correction polynomial. It is shown to be at least as effective as similar implementations in finite volume solvers, and sustains arbitrarily-high orders of accuracy on hexahedral-based unstructured meshes. Further, Navier-Stokes time-domain impedance boundary conditions are derived and implemented as a NSCBC sub-class. They account for the diffusive process at the wall and are shown to properly resolve broadband impedance models under normal and grazing flow conditions. The ability of these NSCBC in preventing the appearance of spurious reflections at the boundaries is demonstrated through a varied series of bench-marking simulations. They effectively shield the inner computational domain from any far-field unphysical contamination. Overall, this work enables the use of strong discontinuous spectral methods to study unsteady problems on complex geometries.

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Section: D Vortex Convectionmentioning

confidence: 99%

Strong compact formalism for characteristic boundary conditions with discontinuous spectral methods

Fiévet

Deniau

Piot

2020

Journal of Computational Physics

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“…[32,33,34] Boundary Conditions in AVBP are treated by the Navier Stokes Characteristic Boundary Conditions (NSCBC) method [35]. This method is already an standard technique to control wave crossing the boundaries [36,37,38]. It consists in decomposing the variation of flow variables on boundaries into terms due to ingoing and outgoing waves.…”

Section: Experimental Configurationmentioning

confidence: 99%

Assessment of combustion noise in a premixed swirled combustor via Large-Eddy Simulation

et al. 2013

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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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“…This equation is solved by a Gaussian elimination procedure. The pressure corrections are then further used to determine corrections of the momentum values in the nodes and at the faces by (5) and (9). Density is corrected by…”

Section: Algorithm For the Interior Of The Computational Domainmentioning

confidence: 99%

Semi-implicit characteristic-based boundary treatment for acoustics in low Mach number flows

Moguen

Bruel

Dick

2013

Journal of Computational Physics

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International audienceFor low Mach number flow calculation, when acoustic waves have to be captured, semi-implicit methods allow to avoid the time-step limitation that arises when explicit schemes are used. A method is suggested to solve the boundary equations so that the semi-implicitness of the algorithm is maintained, as well as its pressure-velocity coupling. This method is studied theoretically and numerically, in the low Mach number regime. Partially non-reflective characteristic-based boundary conditions, with the linear relaxation form suggested by Rudy and Strikwerda, [J. Comput. Phys. 36 (1980) 55-70], are considered. It is shown that their properties, well known in the framework of explicit schemes, are recovered with the proposed semi-implicit treatment and an acoustic CFL number significantly larger than unity

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On the stability and dissipation of wall boundary conditions for compressible flows

Cited by 6 publications

References 40 publications

Strong compact formalism for characteristic boundary conditions with discontinuous spectral methods

Strong compact formalism for characteristic boundary conditions with discontinuous spectral methods

Assessment of combustion noise in a premixed swirled combustor via Large-Eddy Simulation

Semi-implicit characteristic-based boundary treatment for acoustics in low Mach number flows

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