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.
|Title of host publication||Euro-Par 2002 Parallel Processing, Proceedings|
|Number of pages||10|
|Publication status||Published - 2002|
|Name||Lecture Notes in Computer Science|
Graham, I. G., Spence, A., & 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).