Time-parallel algorithm for two phase flows simulation

Katia Ait-Ameur (1, 2) , Yvon Maday (1, 3) , Marc Tajchman (2)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 CEA - Commissariat à l'énergie atomique et aux énergies alternatives
3 IUF - Institut universitaire de France

In this paper, we will report our recent effort to apply the parareal algorithm to the time parallelization of an industrial code that simulates two phase flows in a reactor for safety studies. This software solves the six equation two-fluid model by considering a set of balance laws (mass, momentum and energy) for each phase, liquid and vapor, of the fluid. The discretization is based on a finite volume method on a staggered grid in space and on a multistep time scheme. Here, we apply a variant of the parareal algorithm on an oscillating manometer test case: the multi-step variant allowing to deal with multistep time schemes in the coarse and/or fine propagators. Numerical results show that parareal methods offer the potential for an increased level of parallelism and is a good strategy to complement the current space domain decomposition implemented in the code.

Domaines: Mathématiques [math]; Analyse numérique [math.NA]

Katia Ait-Ameur, Yvon Maday, Marc Tajchman. Time-parallel algorithm for two phase flows simulation. 2019. ⟨hal-02322291v2⟩