Nonlinear multiplicative Schwarz preconditioning in natural convection cavity flow

L. Liu, W. Zhang, D.E. Keyes
Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116, (2017)

Nonlinear multiplicative Schwarz preconditioning in natural convection cavity flow

Keywords

Rayleigh Number, Newton Iteration, Inexact Newton Method, High Rayleigh Number, GMRES Iteration

Abstract

​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.

Code

DOI: 10.1007/978-3-319-52389-7_22

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