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Journal Articles Applied Mathematics Letters Year : 2023

Continuous boundary condition at the interface for two coupled fluids

Abstract

We consider two laminar incompressible flows coupled by the continuous law at a fixed interface . We approach the system by one that satisfies a friction Navier law, and we show that when the friction coefficient goes to infinity, the solutions converges 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.
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hal-03694918 , version 1 (16-06-2022)

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François Legeais, Roger Lewandowski. Continuous boundary condition at the interface for two coupled fluids. Applied Mathematics Letters, 2023, 135, pp.article n°108393. ⟨10.1016/j.aml.2022.108393⟩. ⟨hal-03694918⟩
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