Abstract

We compare the performance of two parallel preconditioners for a Newton–Krylov flow solver: an additive-Schwarz preconditioner and an approximate-Schur preconditioner. A previous study using only 24 processors was inconclusive regarding the relative performance of these preconditioners. In the present study, the approximate-Schur preconditioner is shown to be clearly superior when more than 100 processors are used. Overall, the Newton–Krylov algorithm with the approximate-Schur preconditioner produces a very efficient solver, ideal for serving as the core of an aerodynamic optimization algorithm.

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