Time accurate partitioned algorithms for the solution of fluid–structure interaction problems in haemodynamics

作者: Fabio Nobile , Matteo Pozzoli , Christian Vergara

DOI: 10.1016/J.COMPFLUID.2013.07.031

关键词:

摘要: In this work we deal with the numerical solution of fluid-structure interaction problem arising in haemodynamic environment. particular, consider BDF and Newmark time discretization schemes, study different methods for treatment interface position, focusing on partitioned algorithms prescription continuity conditions at interface. We explicit implicit algorithms, new hybrid methods. numerically performances accuracy these highlighting best solutions applications. also their convergence properties respect to discretization, by introducing an analytical test case.

参考文章(48)
Alfio Quarteroni, Luca Formaggia, Alessandro Veneziani, CARDIOVASCULAR MATHEMATICS: MODELING AND SIMULATION OF THE CIRCULATORY SYSTEM ,(2009)
Gerhard A. Holzapfel, Thomas C. Gasser, Ray W. Ogden, A new constitutive framework for arterial wall mechanics and a comparative study of material models Journal of Elasticity. ,vol. 61, pp. 1- 48 ,(2000) , 10.1023/A:1010835316564
A. Porpora, P. Zunino, C. Vergara, M. Piccinelli, Numerical treatment of boundary conditions to replace lateral branches in hemodynamics. International Journal for Numerical Methods in Biomedical Engineering. ,vol. 28, pp. 1165- 1183 ,(2012) , 10.1002/CNM.2488
Wulf G. Dettmer, Djordje Perić, On the coupling between fluid flow and mesh motion in the modelling of fluid–structure interaction Computational Mechanics. ,vol. 43, pp. 81- 90 ,(2008) , 10.1007/S00466-008-0254-6
F. Nobile, C. Vergara, An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions SIAM Journal on Scientific Computing. ,vol. 30, pp. 731- 763 ,(2008) , 10.1137/060678439
Luca Formaggia, Alessandro Veneziani, Christian Vergara, Flow rate boundary problems for an incompressible fluid in deformable domains: Formulations and solution methods Computer Methods in Applied Mechanics and Engineering. ,vol. 199, pp. 677- 688 ,(2010) , 10.1016/J.CMA.2009.10.017
C. Alberto Figueroa, Irene E. Vignon-Clementel, Kenneth E. Jansen, Thomas J.R. Hughes, Charles A. Taylor, A coupled momentum method for modeling blood flow in three-dimensional deformable arteries Computer Methods in Applied Mechanics and Engineering. ,vol. 195, pp. 5685- 5706 ,(2006) , 10.1016/J.CMA.2005.11.011
A. Veneziani, C. Vergara, Flow rate defective boundary conditions in haemodynamics simulations International Journal for Numerical Methods in Fluids. ,vol. 47, pp. 803- 816 ,(2005) , 10.1002/FLD.843