A finite element scheme for the numerical solution of the Navier–Stokes/Biot coupled problem

Авторы: Lozovskiy Alexander, Olshanskii Maxim A., Vassilevski Yuri V.
Журнал: Russian Journal of Numerical Analysis and Mathematical Modelling
Том: 37
Номер: 3
Год издания: 2022
Издательство: V S P
Местоположение издательства: Netherlands
Первая страница: 159
Последняя страница: 174
DOI: 10.1515/rnam-2022-0014
Аннотация: A finite element method for a monolithic quasi-Lagrangian formulation of a fluid-porous structure interaction problem with a corrected balance of stresses on the fluid-structure interface is considered. Deformations of the elastic medium are not necessarily small and are modelled using Saint Venant-Kirchhoff (SVK) constitutive relation. The stability of the method is proved in a form of energy bound for the finite element solution. © 2022 Walter de Gruyter GmbH, Berlin/Boston.Keywordsblood flow; finite element method; Fluid-structure interaction; monolithic approach; numerical stability; semi-implicit scheme
Добавил в систему: Ильин Александр Владимирович

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