File(s) not publicly available
Efficient preconditioning of the linearized Navier-Stokes
journal contributionposted on 2023-06-07, 19:10 authored by David Kay, Howard Elman, David Silvester, Andrew Wathen
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.
JournalJournal of Computational and Applied Mathematics
Department affiliated with
- Mathematics Publications
Full text available