Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow
A natural convection cavity flow problem is solved using nonlinear multiplicative Schwarz preconditioners, as a Gauss-Seidel-like variant of additive Schwarz preconditioned inexact Newton (ASPIN). The nonlinear preconditioning extends the domain of convergence of Newton’s method to high Rayleigh numbers. Convergence performance varies widely with respect to different groupings of the fields of this multicomponent problem, and with respect to different orderings of the groupings.
KeywordsRayleigh Number Newton Iteration Inexact Newton Method High Rayleigh Number GMRES Iteration
The authors acknowledge support from KAUST’s Extreme Computing Research Center and the PETSc group of Argonne National Laboratory.