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• W4381333157 abstract "A study of an alternating Schwarz domain decomposition method for a time evolution Rayleigh-Bénard problem is presented. The model equations are Navier-Stokes, continuity and heat equations in the case of infinite Prandtl number in a two-dimensional rectangular domain. The nonlinear evolution problem is dealt with an order two finite differences scheme in time and a collocation method in space. Each step in the evolution problem is solved with a Schwarz domain decomposition method. The domain is split into several subdomains with appropriate interface conditions. Their convergence properties are studied theoretically in a simplified domain divided in two subdomains. The convergence rate is less than one when an overlap is considered. The numerical resolution of the problem confirms the theoretical results. The number of subdomains in the horizontal direction can be increased indefinitely. A benchmark with numerical solutions obtained with other methods validates the method. Convergence is achieved for large spatial grids in the x axis, which are inabordable for the standard Legendre collocation method. Other advantage of this methodology is parallelization." @default.
• W4381333157 created "2023-06-21" @default.
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• W4381333157 creator A5022561937 @default.
• W4381333157 date "2023-10-01" @default.
• W4381333157 modified "2023-09-27" @default.
• W4381333157 title "A Schwarz alternating method for an evolution convection problem" @default.
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• W4381333157 doi "https://doi.org/10.1016/j.apnum.2023.06.007" @default.
• W4381333157 hasPublicationYear "2023" @default.
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