Block preconditioned BiCGstab(2) for solving the Navier-Stokes equations

G Tiesinga*

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    2 Citations (Scopus)


    A solver for the two-dimensional stationary incompressible Navier-Stokes equations is presented. The equations are discretized on a staggered grid using a finite-difference formulation with first-order upwind discretization for the convective terms. This non-linear system is solved by a Picard iteration. In the inner-iteration a linearization of the full system of Navier-Stokes equations is solved using the BiCGstab(2) method with preconditioning. As preconditioner an incomplete blockwise LU-factorization based on a repeated red-black ordering scheme is used. Each block is a 3 x 3 matrix corresponding to the three variables u,v and p of a grid cell. this preconditioner is illustrated by tests simulating the pow in a lid-driven cavity at low Reynolds numbers. More research has to be done but so far the approach seems promising.

    Original languageEnglish
    Pages (from-to)563-564
    Number of pages2
    JournalZeitschrift für Angewandte Mathematik und Mechanik
    Publication statusPublished - 1996
    Event3rd International Congress on Industrial and Applied Mathematics (ICIAM 95) - , Germany
    Duration: 3-Jul-19957-Jul-1995



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