Overlapping Domain Decomposition Applied to the Navier-Stokes Equations

Oana Ciobanu (1) , Laurence Halpern (2) , Xavier Juvigny (1) , Juliette Ryan (1)

1 DTIS, ONERA, Université Paris Saclay (COmUE) [Palaiseau]
2 LAGA - Laboratoire Analyse, Géométrie et Applications

A space-time domain decomposition algorithm for the compressible Navier–Stokes problem has been designed, with the aim of implementing it in three dimensions, in an industrial code. The system is discretised with a second order implicit scheme in time and Finite Volumes Method in space. To achieve full speedup performance, a Schwarz Waveform Relaxation method coupled with a Newton procedure is used, as it allows local space and time stepping. The performances of different parallelisation strategies (using OpenMP, MPI and GPUs) are compared in difficult configurations.

Mots clés: ADAPTIVE TIME-STEPPING; COMPRESSIBLE NAVIER–STOKES SOLVER; DIRECT NUMERICAL SIMULATION; FINITE VOLUMES METHOD; NEWTON-SCHWARZ METHOD; SCHWARZ WAVEFORM RELAXATION METHOD; TIME-SPACE DOMAIN DECOMPOSITION

Domaines: Modélisation et simulation

Oana Ciobanu, Laurence Halpern, Xavier Juvigny, Juliette Ryan. Overlapping Domain Decomposition Applied to the Navier-Stokes Equations. Domain Decomposition Methods in Science and Engineering XXII, pp.461-470, 2016, ⟨10.1007/978-3-319-18827-0_47⟩. ⟨hal-01845273⟩