Computational fluid–structure interaction: methods and application to a total cavopulmonary connection
- 1.8k Downloads
The Fontan procedure is a surgery that is performed on single-ventricle heart patients, and, due to the wide range of anatomies and variations among patients, lends itself nicely to study by advanced numerical methods. We focus on a patient-specific Fontan configuration, and perform a fully coupled fluid–structure interaction (FSI) analysis of hemodynamics and vessel wall motion. To enable physiologically realistic simulations, a simple approach to constructing a variable-thickness blood vessel wall description is proposed. Rest and exercise conditions are simulated and rigid versus flexible vessel wall simulation results are compared. We conclude that flexible wall modeling plays an important role in predicting quantities of hemodynamic interest in the Fontan connection. To the best of our knowledge, this paper presents the first three-dimensional patient-specific fully coupled FSI analysis of a total cavopulmonary connection that also includes large portions of the pulmonary circulation.
KeywordsBlood flow Fontan surgery Fluid–structure interaction Variable wall thickness Hyperelasticity Wall shear stress
We wish to thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper. Support of Teragrid Grant No.MCAD7S032 is gratefully acknowledged. Alison Marsden was supported by a Burroughs Wellcome Fund Career Award at the Scientific Interface, and by an American Heart Association Beginning Grant in Aid award.We would also like to thank Jeff Feinstein for his valuable input on the clinical relevance of the reported simulations.
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, nand reproduction in any medium, provided the original author(s) and source are credited.
- 4.Bazilevs Y, Gohean JR, Hughes TJR, Moser RD, Zhang Y (2009) Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Comput Methods Appl Mech Eng. doi: 10.1016/j.cma.2009.04.015
- 5.Bazilevs Y, Hsu M-C, Zhang Y, Wang W, Liang X, Kvamsdal T, Brekken R, Isaksen JG (2009) A fully-coupled fluid–structure interaction simulation of cerebral aneurysms. Comput Mech, In the same issueGoogle Scholar
- 6.Bischoff M, Wall WA, Bletzinger K-U, Ramm E (2004) Models and finite elements for thin-walled structures. In: Stein E, de Borst R, Hughes TJR (eds) Encyclopedia of computational mechanics, vol 2, Solids, structures and coupled problems, chap 3. WileyGoogle Scholar
- 9.de Leval MR, Dubini G, Migliavacca F, Jalali H, camporini G, Redington A, Pietrabissa R (1996) Use of computational fluid dynamics in the design of surgical procedures: application to the study of competitive flows in cavo-pulmonary connections. J Thorac Cardiovasc Surg 111(3): 502–513CrossRefGoogle Scholar
- 11.Ensley AE, Ramuzat A, Healy TM, Chatzimavroudis GP, Lucas C, Sharma S, Pettigrew R, Yoganathan AP (2000) Fluid mechanic assessment of the total cavopulmonary connection using magnetic resonance phase velocity mapping and digital particle image velocimetry. Ann Biomed Eng 28: 1172–1183CrossRefGoogle Scholar
- 17.Hughes TJR (2000) The finite element method: linear static and dynamic finite element analysis. Dover Publications, MineolaGoogle Scholar
- 25.Marsden AL, Bernstein AD, Reddy VM, Shadden S, Spilker R, Chan FP, Taylor CA, Feinstein JA (2009) Evaluation of a novel Y-shaped extracardiac fontan baffle using computational fluid dynamics. J Thorac Cardiovasc Surg, To appearGoogle Scholar
- 31.Petrossian E, Reddy VM, Collins KK, Culbertson CB, MacDonald MJ, Lamberti JJ, Reinhartz O, Mainwaring RD, Francis PD, Malhotra SP, Gremmels DB, Suleman S, Hanley FL (2006) The extracardiac conduit Fontan operation using minimal approach extracorporeal circulation: early and midterm outcomes. J Thorac Cardiovasc Surg 132(5): 1054–1063CrossRefGoogle Scholar
- 33.Shachar GB, Fuhrman BP, Wang Y, Lucas RV Jr, Lock JE (1982) Rest and exercise hemodynamics after the fontan procedure. Circulation 65: 1043–1048Google Scholar
- 36.Takizawa K, Christopher J, Moorman C, Martin J, Purdue J, McPhail T, Chen PR, Warren J, Tezduyar TE (2009) Space-time finite element computation of arterial FSI with patient-specific data. In: Schrefler B, Onate E, Papadrakakis M (eds) Computational methods for coupled problems in science and engineering, coupled problems 2009Google Scholar
- 37.Takizawa K, Christopher J, Tezduyar TE, Sathe S (2009) Space-time finite element computation of arterial fluid–structure interactions with patient-specific data. Commun Numer Methods Eng, published online. doi: 10.1002/cnm.1241
- 40.Tezduyar TE, Behr M, Mittal S, Johnson AA (1992) Computation of unsteady incompressible flows with the stabilized finite element methods—space-time formulations, iterative strategies and massively parallel implementations. In: New methods in transient analysis, PVP-Vol. 246/ AMD-Vol. 143, pp 7–24. ASME, New YorkGoogle Scholar
- 45.Tezduyar TE, Schwaab M, Sathe S (2008) Sequentially-coupled arterial fluid–structure interaction (SCAFSI) technique. Comput Methods Appl Mech Eng, published online. doi: 10.1016/j.cma.2008.05.024
- 49.Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2009) Influence of wall thickness on fluid–structure interaction computations of cerebral aneurysms. Commun Numer Methods Eng, published online. doi: 10.1002/cnm.1289
- 51.Zhang Y, Wang W, Liang X, Bazilevs Y, Hsu M-C, Kvamsdal T, Brekken R, Isaksen JG (2009) High-fidelity tetrahedral mesh generation from medical imaging data for fluid–structure interaction analysis of cerebral aneurysms. Comput Model Eng Sci 42: 131–149Google Scholar