A Fractional Step Method to Simulate Mixed Flows in Pipes with a Compressible Two-Layer Model

Charles Demay (1, 2) , Christian Bourdarias (2) , Benoit de Laage de Meux (1) , Stéphane Gerbi (2) , Jean-Marc Hérard (3, 1)

1 EDF - EDF
2 LAMA - Laboratoire de Mathématiques
3 I2M - Institut de Mathématiques de Marseille

The so-called mixed flows in pipes include two-phase stratified regimes as well as single-phase pressurized regimes with transitions. It is proposed to handle those configurations numerically with the compressible two-layer model developed in [7]. Thus, a fractional step method is proposed to deal explicitly with the slow propagation phenomena and implicitly with the fast ones. It results in a large time-step scheme accurate in both regimes. Numerical experiments are performed including convergence results and academical test cases.

Mots clés: Two-layer model; implicit-explicit scheme; mixed flow

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

Charles Demay, Christian Bourdarias, Benoit de Laage de Meux, Stéphane Gerbi, Jean-Marc Hérard. A Fractional Step Method to Simulate Mixed Flows in Pipes with a Compressible Two-Layer Model. Clément Cancès - Pascal Omnes. PROMS, 200, pp.33 - 41, 2017, Springer Proceedings in Mathematics and Statistics, ⟨10.1007/978-3-319-57394-6_4⟩. ⟨hal-01579379⟩