Continuous boundary condition at the interface for two coupled fluids
Analysis of PDEs
2022-06-22 v1 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.2206.09625,
title = {Continuous boundary condition at the interface for two coupled fluids},
author = {François Legeais and Roger Lewandowski},
journal= {arXiv preprint arXiv:2206.09625},
year = {2022}
}