A Weighted Splitting Approach for Low-Mach Number Flows

David Iampietro (1, 2) , Frédéric Daude (1) , Pascal Galon (3) , Jean-Marc Hérard (2, 1)

1 EDF - EDF
2 I2M - Institut de Mathématiques de Marseille
3 CEA - Commissariat à l'énergie atomique et aux énergies alternatives

In steady-state regimes, water circulating in the nuclear power plants pipes behaves as a low Mach number flow. However, when steep phenomena occur, strong shock waves are produced. Herein, a fractional step approach allowing to decouple the convective from the acoustic effects is proposed. The originality is that the splitting between these two parts of the physics evolves dynamically in time according to the Mach number. The first one-dimensional explicit and implicit numerical results on a wide panel of Mach numbers show that this approach is as accurate and CPU-consuming as a state of the art Lagrange-Projection-type method.

Domaines: Equations aux dérivées partielles [math.AP]; Mécanique des fluides [physics.class-ph]

David Iampietro, Frédéric Daude, Pascal Galon, Jean-Marc Hérard. A Weighted Splitting Approach for Low-Mach Number Flows. Clément Cancès - Pascal Omnes. PROMS, 200, pp.3 - 11, 2017, Springer Proceedings in Mathematics and Statistics, ⟨10.1007/978-3-319-57394-6_1⟩. ⟨hal-01579614⟩