An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure

作者: Martina Bukač , Ivan Yotov , Paolo Zunino

DOI: 10.1002/NUM.21936

关键词:

摘要: We develop a loosely coupled fluid-structure interaction finite element solver based on the Lie operator splitting scheme. The scheme is applied to between an incompressible, viscous, Newtonian fluid, and multilayered structure, which consists of thin elastic layer thick poroelastic material. modeled using linearly Koiter membrane model, while as Biot system. prove conditional stability derive error estimates. Theoretical results are supported with numerical examples. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1054–1100, 2015

参考文章(77)
Anne M. Robertson, Michael R. Hill, Dalong Li, Structurally motivated damage models for arterial walls. Theory and application Springer, Milano. pp. 143- 185 ,(2012) , 10.1007/978-88-470-1935-5_6
E. DETOURNAY, ALEXANDER H.-D. CHENG, Fundamentals of Poroelasticity Analysis and Design Methods#R##N#Principles, Practice and Projects. pp. 113- 171 ,(1993) , 10.1016/B978-0-08-040615-2.50011-3
Jay D. Humphrey, Mechanics of the arterial wall: review and directions. Critical Reviews in Biomedical Engineering. ,vol. 23, pp. 1- 162 ,(1995) , 10.1615/CRITREVBIOMEDENG.V23.I1-2.10
Miguel A. Fernández, Incremental displacement-correction schemes for incompressible fluid-structure interaction Numerische Mathematik. ,vol. 123, pp. 21- 65 ,(2013) , 10.1007/S00211-012-0481-9
Peter Hansbo, Nitsche's method for interface problems in computational mechanics Gamm-mitteilungen. ,vol. 28, pp. 183- 206 ,(2005) , 10.1002/GAMM.201490018
Roland Glowinski, Finite element methods for incompressible viscous flow Handbook of Numerical Analysis. ,vol. 9, pp. 3- 1176 ,(2003) , 10.1016/S1570-8659(03)09003-3
Raymond P. Vito, Stacey A. Dixon, Blood vessel constitutive models-1995-2002. Annual Review of Biomedical Engineering. ,vol. 5, pp. 413- 439 ,(2003) , 10.1146/ANNUREV.BIOENG.5.011303.120719
Márcio A. Murad, João N. Guerreiro, Abimael F.D. Loula, Micromechanical computational modeling of secondary consolidation and hereditary creep in soils Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 1985- 2016 ,(2001) , 10.1016/S0045-7825(00)00218-8