Pressure-velocity coupling for unsteady low Mach number flow simulations: An improvement of the AUSM + -up scheme

Yann Moguen (1) , Erik Dick (1) , Jan Vierendeels (1) , Pascal Bruel (2)

1 Department of Flow, Heat and Combustion Mechanics
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

The proper scaling of the pressure-velocity coupling that arises from the momentum interpolation approach for unsteady calculation in low Mach number flow is first identified. Then, it is used to suggest a modification of the AUSM +-up scheme that allows acoustic simulations in low Mach number flow.

Mots clés: Pressure-velocity coupling; Momentum interpolation method; AUSM schemes; Low Mach number flow; Pressure correction; Acoustics

Domaines: Analyse numérique [math.NA]

Yann Moguen, Erik Dick, Jan Vierendeels, Pascal Bruel. Pressure-velocity coupling for unsteady low Mach number flow simulations: An improvement of the AUSM + -up scheme. Journal of Computational and Applied Mathematics, 2013, 246, pp.136 - 143. ⟨10.1016/j.cam.2012.10.029⟩. ⟨hal-02359034⟩