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.
CITATION STYLE
Liu, L., Zhang, W., & Keyes, D. E. (2017). Nonlinear multiplicative Schwarz preconditioning in natural convection cavity flow. In Lecture Notes in Computational Science and Engineering (Vol. 116, pp. 227–235). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_22
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