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Efficient Preconditioning of the Linearized Navier–Stokes Equations for Incompressible Flow
Journal of Computational and Applied Mathematics, 128 (1-2): 261--279 (марта 2001)
DOI: 10.1016/s0377-0427(00)00515-x
Аннотация
We outline a new class of robust and efficient methods for solving subproblems that arise in the linearization and operator splitting of Navier–Stokes equations. We describe a very general strategy for preconditioning that has two basic building blocks; a multigrid V-cycle for the scalar convection–diffusion operator, and a multigrid V-cycle for a pressure Poisson operator. We present numerical experiments illustrating that a simple implementation of our approach leads to an effective and robust solver strategy in that the convergence rate is independent of the grid, robust with respect to the time-step, and only deteriorates very slowly as the Reynolds number is increased.
