| An ILU Smoother for the Incompressible Navier-Stokes Equations in General Coordinates (1993) | |||||||||||||||
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| ILU smoothers are good smoothers for linear multigrid methods. In this paper, a new ILU smoother for the incompressible Navier-Stokes equations, called CILU (Collective ILU), is designed, based on r-transformations. Existing ILU decompositions factorize the matrix with real elements. In CILU the elements of the matrix that is factorized are submatrices, corresponding to the set of physical variables. A multigrid algorithm using CILU as smoother is investigated. Average reduction factors and limiting reduction factors are measured to explore the performance of the algorithm. The results show that CILU is a good smoother. 1 Introduction Theoretical and practical investigations for about two decades have shown that multigrid methods are very suitable for solving large systems of algebraic equations resulting from discretization of partial differential equations. In this paper, we will present a multigrid method for the incompressible Navier-Stokes equations in general coordinates discr... | |||||||||||||||
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