This work reports on the implementation and validation of a two-system, single-analysis, fluid—structure interaction (FSI) technique that uses the finite volume (FV) method for performing simulations on abdominal aortic aneurysm (AAA) geometries. This FSI technique, which was implemented in OpenFOAM, included fluid and solid mesh motion and incorporated a non-linear material model to represent AAA tissue. Fully implicit coupling was implemented, ensuring that both the fluid and solid domains reached convergence within each time step. The fluid and solid parts of the FSI code were validated independently through comparison with experimental data, before performing a complete FSI simulation on an idealized AAA geometry. Results from the FSI simulation showed that a vortex formed at the proximal end of the aneurysm during systolic acceleration, and moved towards the distal end of the aneurysm during diastole. Wall shear stress (WSS) values were found to peak at both the proximal and distal ends of the aneurysm and remain low along the centre of the aneurysm. The maximum von Mises stress in the aneurysm wall was found to be 408 kPa, and this occurred at the proximal end of the aneurysm, while the maximum displacement of 2.31 mm occurred in the centre of the aneurysm. These results were found to be consistent with results from other FSI studies in the literature.
BatheK. J.ZhangH.WangM.‘Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions.’Comput. Struct.56 (2–3) (1995): 193–213
9.
BatheK. J.NitikitpaiboonC.WangX.‘A mixed displacement-based finite element formulation for acoustic fluid—structure interaction.’Comput. Struct.56 (2–3) (1995): 225–237
10.
BatheK. J.ZhangH.JiS.‘Finite element analysis of fluid flows fully coupled with structural interactions.’Comput. Struct.72 (1–3) (1999): 1–16
11.
LeungJ. H.WrightA. R.CheshireN.CraneJ.ThomS. A.HughesA. D.XuY.‘Fluid structure interaction of patient specific abdominal aortic aneurysms: A comparison with solid stress models.’Biomed. Engng Online5 (2006): 33
12.
ScottiC. M.FinolE. A.‘Compliant biomechanics of abdominal aortic aneurysms: A fluid—structure interaction study.’Comput. Struct.85 (11–14) (2007): 1097–1113
13.
Di MartinoE. S.GuadagniG.FumeroA.BalleriniG.SpiritoR.BiglioliP.RedaelliA.‘Fluid—structure interaction within realistic three-dimensional models of the aneurysmatic aorta as a guidance to assess the risk of rupture of the aneurysm.’Med. Engng Phys.23 (9) (2001): 647–655
14.
LiZ.KleinstreuerC.‘Effects of blood flow and vessel geometry on wall stress and rupture risk of abdominal aortic aneurysms.’J. Med. Engng Technol.30 (5) (2006): 283–297
15.
BijelonjaI.DemirdzicI.MuzaferijaS.‘A finite volume method for incompressible linear elasticity.’Comput. Meth. Appl. Mech. Engng195 (2006): 6378–6390
16.
DemirdzicI.MuzaferijaS.‘Finite volume method for stress analysis in complex domains.’Int. J. Numer. Meth. Engng37 (1994): 3751–3766
17.
WheelM.‘A mixed finite volume formulation for determining the small strain deformation of incompressible materials.’Int. J. Numer. Meth. Engng44 (1999): 1843–1861
18.
XiaG.LinC.-L.‘An unstructured finite volume approach for structural dynamics in response to fluid motions.’Comput. Struct.86 (2008): 684–701
19.
JasakH.WellerH.‘Application of the finite volume method and unstructured meshes to linear elasticity.’Int. J. Numer. Meth. Engng48 (2000): 267–287
20.
IvankovicA.KaracA.DendrinosE.ParkerK.‘Towards early diagnosis of atherosclerosis: The finite volume method for fluid—structure interaction.’Biorheology39 (2000): 401–407
21.
KaracA.IvankovicA.‘Modelling the drop impact behaviour of fluid-filled polyethylene containers.’Fracture Polym., Compos. Adhes. II32 (2003): 253–264
22.
BaileyC.CrossM.‘A finite volume procedure to solve elastic solid mechanics problems in three dimensions on an unstructured mesh.’Int. J. Numer. Meth. Engng38 (1995): 1757–1776
23.
FallahN.BaileyC.CrossM.TaylorG. A.‘Comparison of finite element and finite volume methods application in geometrically nonlinear stress analysis.’Appl. Math. Modelling24 (2000): 439–455
24.
TaylorG. A.BaileyC.CrossM.‘A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics.’Int. J. Numer. Meth. Engng56 (2003): 507–529
SloneA. K.PericleousK.BaileyC.CrossM.BennettC.‘A finite volume unstructured mesh approach to dynamic fluid—structure interaction: An assessment of the challenge of predicting the onset of flutter.’Appl. Math. Modelling28 (2) (2004): 211–239
WellerH.TaborG.‘A tensorial approach to computational continuum mechanics using object oriented techniques.’Comput. Phys.12 (6) (1998): 620–631
29.
McCulloughJ.Haemodynamics of abdominal aortic aneurysms: a comparison between idealised and patient-based models PhD Thesis, University College Dublin, Dublin, Ireland, 2006.
30.
KanyantaV.IvankovicA.‘Mechanical characterisation of polyurethane elastomer for biomedical applications.’J. Mech. Behaviour Biomed. Mater.3 (1) (2010): 51–62
31.
LingS. C.AtabekH. B.‘A nonlinear analysis of pulsatile flow in arteries.’J. Fluid Mech.55 (3) (1972): 493–511
32.
JasakH.TukovicZ.‘Automatic mesh motion for the unstructured finite volume method.’Trans. FAMENA30 (2) (2007): 1–18
DuchB. U.AndersonH.GregersenH.‘Mechanical properties of the porcine bile duct wall.’Biomed. Engng Online3 (2004): 23
35.
FungY. C.Biomechanics, mechanical properties of living tissues (Springer-VerlagNew York1993)
36.
RaghavanM. L.KratzbergJ.Castro de TolosaE. M.HanaokaM. M.WalkerP.da SilvaE. S.‘Regional distribution of wall thickness and failure properties of human abdominal aortic aneurysm.’J. Biomech.39 (16) (2006): 3010–3016
37.
VorpD. A.RaghavanM. L.WebsterM. W.‘Mechanical wall stress in abdominal aortic aneurysm: Influence of diameter and asymmetry.’J. Vascular Surg.27 (4) (1998): 632–639
38.
RaghavanM. L.VorpD. A.‘Toward a biomechanical tool to evaluate rupture potential of abdominal aortic aneurysm: Identification of a finite strain constitutive model and evaluation of its applicability.’J. Biomech.33 (4) (2000): 475–482
39.
TaylorT.YamaguchiT.‘Three-dimensional simulation of blood flow in an abdominal aortic aneurysm — steady and unsteady flow cases.’J. Biomech. Engng116 (1994): 89–97
40.
EgelhoffC. J.BudwigR. S.ElgerD. F.KhraishiT. A.JohansenK. H.‘Model studies of the flow in abdominal aortic aneurysms during resting and exercise conditions.’J. Biomech.32 (12) (1999): 1319–1329
41.
O'RourkeM.McCulloughJ. P.‘A comparison of the measured and predicted flowfield in a patient-specific model of an abdominal aortic aneurysm.’Proc. IMechE, Part H: J. Engineering in Medicine222 (H5) (2008): 737–750 DOI 10.1243/09544119JEIM357.
42.
KhanaferK. M.BullJ. L.BerguerR.‘Fluid—structure interaction of turbulent pulsatile flow within a flexible wall axisymmetric aortic aneurysm model.’Eur. J. Mech. — B/Fluids28 (2009): 88–102
43.
ScottiC. M.ShkolnikA. D.MulukS. C.FinolE. A.‘Fluid—structure interaction in abdominal aortic aneurysms: Effects of asymmetry and wall thickness.’Biomed. Engng Online4 (2005): 64
44.
AnayiotosA. S.JonesS. A.GiddensD. P.GlagovS.ZarinsC. K.‘Shear stress at a compliant model of the human carotid bifurcation.’J. Biomech. Engng116 (1994): 98–106
45.
ZhaoS. Z.XuX. Y.HughesA. D.ThomS. A.StantonA. V.AriffB.LongQ.‘Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation.’J. Biomech.33 (8) (2000): 975–984
