The Interface Control Domain Decomposition Method for Stokes--Darcy Coupling
作者： Marco Discacciati , Paola Gervasio , Alessandro Giacomini , Alfio Quarteroni
DOI: 10.1137/15M101854X
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摘要: The interface control domain decomposition (ICDD) method of Discacciati, Gervasio, and Quarteroni [SIAM J. Control Optim., 51 (2013), pp. 3434--3458, doi:10.1137/120890764; Coupled Syst. Multiscale Dyn., 1 372--392, doi:10.1166/jcsmd.2013.1026] is proposed here to solve the coupling between Stokes Darcy equations. According this approach, problem formulated as an optimal whose variables are traces velocity pressure on internal boundaries subdomains that provide overlapping original computational domain. A theoretical analysis carried out, well-posedness proved under certain assumptions both geometry model parameters. An efficient solution algorithm proposed, several numerical tests implemented. Our results show accuracy ICDD method, its efficiency, robustness with respect different parameters involved (grid siz...
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