Continuous boundary condition at the interface for two coupled fluids. (January 2023)

• Record Type: Journal Article
• Authors: Legeais, François; Lewandowski, Roger
• Is Part Of: Applied mathematics letters. Volume 135(2023)
• Publication Date: 2023-01
• Subjects: Stokes equations -- Coupled problems -- Variational formulation -- Numerical simulations; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108393
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We consider two laminar incompressible flows coupled by the continuous law at a fixed interface Γ I . We approach the system by one that satisfies a friction Navier law at Γ I, and we show that when the friction coefficient goes to ∞, the solutions converge to a solution of the initial system. We then write a numerical Schwarz-like coupling algorithm and run 2D-simulations, that yields same convergence result.