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Overlapping Domain Decomposition Applied to the Navier–Stokes Equations

  • Oana Ciobanu
  • Laurence Halpern
  • Xavier Juvigny
  • Juliette Ryan
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)

Abstract

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.

Keywords

Adaptive time-stepping Compressible Navier–Stokes solver Direct numerical simulation Finite volumes method Newton-Schwarz method Schwarz waveform relaxation method Time-space domain decomposition 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Oana Ciobanu
    • 1
  • Laurence Halpern
    • 2
  • Xavier Juvigny
    • 1
  • Juliette Ryan
    • 1
  1. 1.ONERAChatillonFrance
  2. 2.Université Paris 13, LAGAVilletaneuseFrance

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