A projection based Variational Multiscale Method for Atmosphere-Ocean Interaction

作者: Mustafa Aggul , Fatma G. Eroglu , Songül Kaya , Alexander E. Labovsky

DOI: 10.1016/J.CMA.2020.112957

关键词: CouplingNonlinear systemDecoupling (cosmology)Stability (probability)Applied mathematicsReynolds numberProjection (linear algebra)TurbulenceBoundary (topology)Computer science

摘要: The proposed method aims to approximate a solution of fluid-fluid interaction problem in case low viscosities. nonlinear interface condition on the joint boundary allows for this be viewed as simplified version atmosphere-ocean coupling. Thus, should potentially applicable air-sea coupled flows turbulent regime. consists two key ingredients. geometric averaging approach is used efficient and stable decoupling problem, which would allow usage preexisting codes air sea domain separately, "black boxes". This combined with variational multiscale stabilization technique treating at high Reynolds numbers. We prove stability accuracy provide several numerical tests assess both quantitative qualitative features computed solution.

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