Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics | Zendy

Miguel A. Fernández | Zendy; Jean-Frédéric Gerbeau | Zendy; Saverio Smaldone | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics

Author(s) -

Miguel A. Fernández,

Jean-Frédéric Gerbeau,

Saverio Smaldone

Publication year - 2014

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/130948653

Subject(s) - compressibility , coupling (piping) , fluid–structure interaction , mathematics , stability (learning theory) , a priori and a posteriori , work (physics) , fluid dynamics , flow (mathematics) , fluid simulation , navier–stokes equations , mechanics , finite element method , computer science , geometry , physics , thermodynamics , materials science , philosophy , epistemology , machine learning , metallurgy

International audienceIn this work we propose a new approach to the loosely coupled time-marching of a fluid-fluid interaction problems involving the incompressible Navier-Stokes equations. The methods combine a specific explicit Robin-Robin treatment of the interface coupling with a weakly consistent interface pressure stabilization in time. A priori energy estimates guaranteeing stability of the splitting are obtained for a total pressure formulation of the coupled problem. The performance of the proposed schemes is illustrated on several numerical experiments related to simulation of aortic blood flow

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research