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

Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction (CROSBI ID 231881)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Bukač, Martina ; Muha, Boris Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction // SIAM journal on numerical analysis, 54 (2016), 5; 3032-3061. doi: 10.1137/16M1055396

Podaci o odgovornosti

Bukač, Martina ; Muha, Boris

engleski

Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction

In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, and its extensions for the interaction between an incompressible, viscous fluid and a thin, elastic structure. We consider a benchmark problem where the structure is modeled using a general thin structure model, and the coupling between the fluid and structure is linear. We derive the energy estimates associated with the unconditional stability of an extension of the kinematically coupled scheme, called the $\beta$-scheme. Furthermore, for the first time we present \textit{; ; ; a priori}; ; ; estimates showing optimal, first-order in time convergence in the case when $\beta=1$. We further discuss the extensions of our results to other fluid- structure interaction problems, in particular the fluid-thick structure interaction problem. The theoretical stability and convergence results are supported with numerical examples.

fluid-structure interaction ; error estimates ; convergence rates ; noniterative scheme

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

54 (5)

2016.

3032-3061

objavljeno

0036-1429

10.1137/16M1055396

Povezanost rada

Matematika

Poveznice
Indeksiranost