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Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout mombre de Mach

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Abstract
A pressure-correction algorithm is presented for compressible fluid flow regimes. It is well-suited to simulate flows at all levels of Mach number with smooth and discontinuous flow field changes, by providing a precise representation of convective transport and acoustic propagation. The co-located finite volume space discretisation is used with the AUSM flux splitting. It is demonstrated that two ingredients are essential for obtaining good quality solutions : the presence of an inertia term in the transporting velocity expression ; a velocity difference diffusive term in the face pressure expression, with a correct Mach number scaling to recover the hydrodynamic and acoustic low Mach number limits. To meet these two requirements, a new flux scheme, named MIAU, for Momentum Interpolation with Advection Upstream splitting is proposed.
Keywords
All-Mach algorithm, Convection-pressure splitting, Momentum interpolation

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MLA
Moguen, Yann, et al. “Un Algorithme Pour La Simulation Du Transport Convectif et de La Propagation Acoustique à Tout Mombre de Mach.” Actes 24ème Congrès Français de Mécanique, Association Française de Mécanique (AFM), 2019.
APA
Moguen, Y., Bruel, P., Correia, P., & Dick, E. (2019). Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout mombre de Mach. In Actes 24ème Congrès Français de Mécanique. Brest: Association Française de Mécanique (AFM).
Chicago author-date
Moguen, Yann, Pascal Bruel, Paulo Correia, and Erik Dick. 2019. “Un Algorithme Pour La Simulation Du Transport Convectif et de La Propagation Acoustique à Tout Mombre de Mach.” In Actes 24ème Congrès Français de Mécanique. Brest: Association Française de Mécanique (AFM).
Chicago author-date (all authors)
Moguen, Yann, Pascal Bruel, Paulo Correia, and Erik Dick. 2019. “Un Algorithme Pour La Simulation Du Transport Convectif et de La Propagation Acoustique à Tout Mombre de Mach.” In Actes 24ème Congrès Français de Mécanique. Brest: Association Française de Mécanique (AFM).
Vancouver
1.
Moguen Y, Bruel P, Correia P, Dick E. Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout mombre de Mach. In: Actes 24ème Congrès Français de Mécanique. Brest: Association Française de Mécanique (AFM); 2019.
IEEE
[1]
Y. Moguen, P. Bruel, P. Correia, and E. Dick, “Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout mombre de Mach,” in Actes 24ème Congrès Français de Mécanique, Brest, france, 2019.
@inproceedings{8627214,
  abstract     = {A pressure-correction algorithm is presented for compressible fluid flow regimes. It is well-suited to simulate
flows at all levels of Mach number with smooth and discontinuous flow field changes, by providing
a precise representation of convective transport and acoustic propagation. The co-located finite volume
space discretisation is used with the AUSM flux splitting. It is demonstrated that two ingredients are
essential for obtaining good quality solutions : the presence of an inertia term in the transporting velocity
expression ; a velocity difference diffusive term in the face pressure expression, with a correct Mach
number scaling to recover the hydrodynamic and acoustic low Mach number limits. To meet these two
requirements, a new flux scheme, named MIAU, for Momentum Interpolation with Advection Upstream
splitting is proposed.},
  articleno    = {244563},
  author       = {Moguen, Yann and Bruel, Pascal and Correia, Paulo and Dick, Erik},
  booktitle    = {Actes 24ème Congrès Français de Mécanique},
  keywords     = {All-Mach algorithm,Convection-pressure splitting,Momentum interpolation},
  language     = {fre},
  location     = {Brest, france},
  pages        = {16},
  publisher    = {Association Française de Mécanique (AFM)},
  title        = {Un algorithme pour la simulation du transport convectif et de la propagation acoustique à tout mombre de Mach},
  url          = {https://cfm2019.sciencesconf.org/244563},
  year         = {2019},
}