Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Existence of a weak solution to a nonlinear fluid- structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls (CROSBI ID 186875)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Muha, Boris ; Čanić, Sunčica Existence of a weak solution to a nonlinear fluid- structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls // Archive for rational mechanics and analysis, 207 (2013), 3; 919-968. doi: 10.1007/s00205-012-0585-5

Podaci o odgovornosti

Muha, Boris ; Čanić, Sunčica

engleski

Existence of a weak solution to a nonlinear fluid- structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time- dependent pressure data, is governed by 2D incompressible Navier-Stokes equations, while the elastodynamics of the cylindrical wall is modeled by the 1D cylindrical Koiter shell model. Two cases are considered: the linearly viscoelastic and the linearly elastic Koiter shell. The fluid and structure are fully coupled (2-way coupling) via the kinematic and dynamic lateral boundary conditions describing continuity of velocity (the no-slip condition), and balance of contact forces at the fluid- structure interface. We prove existence of weak solutions to the two FSI problems (the viscoelastic and the elastic case) as long as the cylinder radius is greater than zero. The proof is based on a novel semi-discrete, operator splitting numerical scheme, known as the kinematically coupled scheme, introduced in \cite{; ; ; ; GioSun}; ; ; ; to numerically solve the underlying FSI problems. The backbone of the kinematically coupled scheme is the well-known Marchuk-Yanenko scheme, also known as the Lie splitting scheme. We effectively prove convergence of that numerical scheme to a solution of the corresponding FSI problem.

fluid-structure interaction; weak solution; Lie splitting

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

207 (3)

2013.

919-968

objavljeno

0003-9527

10.1007/s00205-012-0585-5

Povezanost rada

Matematika

Poveznice
Indeksiranost