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Spectral-element preconditioners for the uzawa pressure operator applied to incompressible flows

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Abstract

Seven preconditioners for the Uzawa pressure operator are discussed in the context of the spectral-element discretization of unsteady, incompressible flows. An already existing algorithm, based on decomposition of the pressure operator, is modified in order to reduce the number of iterations and cpu time. A twostage preconditioning technique is set up to solve efficiently problems at high Reynold numbers. The performance of the preconditioners is tested on a number of Stokes and Navier-Stokes problems in three dimensions.

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Authors and Affiliations

  1. Université Catholique de Louvain, CESAME, Louvain-la-Neuve, Belgium

    W. Couzy

  2. Ecole Polytechnique Fédérale de Lausanne, IMHEF, Lausanne, Switzerland

    M. O. Deville

Authors
  1. W. Couzy
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  2. M. O. Deville
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Couzy, W., Deville, M.O. Spectral-element preconditioners for the uzawa pressure operator applied to incompressible flows. J Sci Comput 9, 107–122 (1994). https://doi.org/10.1007/BF01578382

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  • DOI: https://doi.org/10.1007/BF01578382

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