Developments on the Broyden procedure to solve nonlinear problems arising in CFD

Laurent Berenguer (1) , Damien Tromeur-Dervout (1)

1 ICJ - Institut Camille Jordan

This paper is devoted to the solution of nonlinear time-dependant partial differential equations arising in CFD using Broyden's method in the parallel computing framework. We first use Broyden's method in the context of the domain decomposition: we propose to update the Restricted Additive Schwarz preconditioner from one Newton iteration to another when a Newton-Krylov method is used. We also investigate a time-pipelining method where Broyden's method is used as a solver of the nonlinear problem of each time step.

Mots clés: Quasi-Newton methods; Time-pipelining; Restricted Additive Schwarz

Domaines: Analyse numérique [math.NA]; Calcul parallèle, distribué et partagé [cs.DC]; Modélisation et simulation

Laurent Berenguer, Damien Tromeur-Dervout. Developments on the Broyden procedure to solve nonlinear problems arising in CFD. Computers and Fluids, 2013, 88, pp.891--896. ⟨10.1016/j.compfluid.2013.10.002⟩. ⟨hal-00918223⟩