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A parallel Newton-Krylov method for Navier-Stokes rotorcraft codes. (English) Zbl 1161.76553
Summary: The application of Krylov subspace iterative methods to unsteady three-dimensional Navier-Stokes codes on massively parallel and distributed computing environments is investigated. Previously, the Euler mode of the Navier-Stokes flow solver Transonic Unsteady Rotor Navier-Stokes (TURNS) has been coupled with a Newton-Krylov scheme which uses two Conjugate-Gradient-like (CG) iterative methods. For the efficient implementation of Newton-Krylov methods to the Navier-Stokes mode of TURNS, efficient preconditioners must be used. Parallel implicit operators are used and compared as preconditioners. Results are presented for two-dimensional and three-dimensional viscous cases. The Message Passing Interface (MPI) protocol is used, because of its portability to various parallel architectures.

MSC:
76M99 Basic methods in fluid mechanics
76U05 General theory of rotating fluids
65F10 Iterative numerical methods for linear systems
65Y05 Parallel numerical computation
Software:
TURNS
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