Parallel iterative methods for Navier-Stokes equations and application to stability assessment

Reference:

Graham, I. G., Spence, A. and Vainikko, E., 2002. Parallel iterative methods for Navier-Stokes equations and application to stability assessment. In: Euro-Par 2002 Parallel Processing, Proceedings. Vol. 2400. , pp. 705-714. (Lecture Notes in Computer Science)

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Abstract

We describe the construction of parallel iterative solvers for finite element approximations of the Navier-Stokes equations on unstructured grids using domain decomposition methods. The iterative method used is FGMRES, preconditioned by a parallel adaptation of a recent block preconditioner proposed by Kay, Loghin and Wathen. The parallelisation is achieved by adapting the technology of our domain decomposition solver DOUG (previously used for scalar problems) to block-systems. An application of the resultant linear solver to the stability assessment of flows is briefly indicated.

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