Fluid-structure interaction simulation of aortic blood flow

Computers and Fluids

Volumn 43, Issue 1, 2011, Pages 46-57

  Crosetto, Paolo ^a   Reymond, Philippe ^a   Deparis, Simone ^a   Kontaxakis, Dimitrios ^a   Stergiopulos, Nikolaos ^a   Quarteroni, Alfio ^a,b  

^a EPFL   (Switzerland)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Blood flow models; Finite elements; Fluid structure interaction; Hemodynamics

Indexed keywords

AORTIC BLOOD FLOW; ARTERIAL WALL; BLOOD FLOW; BLOOD FLOW MODELS; COMPUTATIONAL POWER; FINITE ELEMENT; FINITE ELEMENTS SIMULATION; FLOW BOUNDARY CONDITIONS; MEAN VELOCITIES; NUMERICAL TOOLS; ONE-DIMENSIONAL MODEL; PHYSIOLOGICAL DATA; PRESSURE TIME; PRESSURE WAVEFORMS; PULSE WAVE VELOCITY; RIGID WALL; SCIENTIFIC ADVANCES; WALL SHEAR STRESS;

ACOUSTIC WAVE VELOCITY; ALGORITHMS; BLOOD; BLOOD VESSELS; BOUNDARY CONDITIONS; FLOW SIMULATION; FLUID STRUCTURE INTERACTION; FLUIDS; HEMODYNAMICS; HYDRODYNAMICS; MATHEMATICAL MODELS; SHEAR STRESS; STRENGTH OF MATERIALS; STRESS CONCENTRATION; WAVE PROPAGATION;

SHEAR FLOW;

EID: 79952245621     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2010.11.032     Document Type: Article

References (44)

1. Badia S., Quaini A., Quarteroni A. Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect. Comput Methods Appl Mech Eng 2008, 197(49-50):4216-4232.
2. Balzani D. Polyconvex anisotropic energies and modelling of damage applied to arterial wall. PhD thesis, Essen: Universit at Duisburg-Essen; 2006.
3. Barker A., Lanning C., Shandas R. Quantification of hemodynamic wall shear stress in patients with bicuspid aortic valve using phase-contrast MRI. Ann Biomed Eng 2010, 38:788-800. 10.1007/s10439-009-9854-3.
4. Bazilevs Y., Gohean J., Hughes T., Moser R., Zhang Y. 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 2009, 198(45-46):3534-3550.
5. Cottet G.-H., Maitre E., Milcent T. Eulerian formulation and level set models for incompressible fluid-structure interaction. M2AN Math Model Numer Anal 2008, 42(3):471-492.
6. Crosetto P, Deparis S, Fourestey G, Quarteroni A. Parallel algorithms for fluid-structure interaction problems in haemodynamics. MATHICSE technical report, no. 08.2010, 2010. <>. http://infoscience.epfl.ch/record/148536.
7. Deparis S., Discacciati M., Fourestey G., Quarteroni A. Fluid-structure algorithms based on Steklov-Poincaré operators. Comput Methods Appl Mech Eng 2006, 195(41-43):5797-5812.
8. Deparis S., Discacciati M., Fourestey G., Quarteroni A. Heterogeneous domain decomposition methods for fluid-structure interaction problems. Lect Notes Comput Sci Eng 2007, Vol. 55:41-52. Springer, Berlin.
9. Deparis S., Fernández M.A., Formaggia L. Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. M2AN Math Model Numer Anal 2003, 37(4):601-616.
10. Donea J., Giuliani S., Halleux J. An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Comput Methods Appl Mech Eng 1982, 33(1-3):689-723.
11. Fanion T., Fernández M., Tallec P.L. Deriving adequate formulations for fluid-structure interaction problems: from ALE to transpiration. Rév Eur Élém Finis 2000, 9(6-7):681-708.
12. Fernández M., Moubachir M. A Newton method using exact Jacobians for solving fluid-structure coupling. Comput Struct 2005, 83(2-3):127-142.
13. Figueroa C.A., Vignon-Clementel I.E., Jansen K.E., Hughes T.J., Taylor C.A. A coupled momentum method for modeling blood flow in three-dimensional deformable arteries. Comput Methods Appl Mech Eng 2006, 195(41-43):5685-5706. (John H. Argyris Memorial Issue. Part II).
14. Flynn P.M., Sullivan G., Pandit A.S. Geometric variability of the abdominal aorta and its major peripheral branches. Ann Biomed Eng 2010, 38(3):824-840.
15. Formaggia L., Gerbeau J.F., Nobile F., Quarteroni A. Numerical treatment of defective boundary conditions for the Navier-Stokes equations. SIAM J Numer Anal 2003, 40(1):376-401.
16. Cardiovascular mathematics: modeling and simulation of the circulatory system. Modeling, simulation and applications 2009, vol. 1. Springer, Milan. L. Formaggia, A. Quarteroni, A. Veneziani (Eds.).
17. Fung Y.C. Biomechanics: circulation 1997, Springer, New York. 2nd ed.
18. Gao F., Watanabe M., Matsuzawa T. Fluid-structure interaction within a layered aortic arch model. J Biol Phys 2006, 32(5):435-454.
19. Holzapfel G., Gasser T., Ogden R. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elasticity 2000, 1-48.
20. Holzapfel G.A., Ogden R.W. Mechanics of biological tissue 2006, Springer-Verlag.
21. Holzapfel G.A., Stadler M., Schulze-Bauer C.A.J. A layer-specific three-dimensional model for the simulation of balloon angioplasty using magnetic resonance imaging and mechanical testing. Ann Biomed Eng 2002, 30(6):753-767.
22. Idelsohn S.R., Oate E., Pin F.D. A Lagrangian meshless finite element method applied to fluid-structure interaction problems. Comput Struct 2003, 81(8-11):655-671. (K.J. Bathe 60th Anniversary Issue).
23. Kim H., Vignon-Clementel I., Figueroa C., LaDisa J., Jansen K., Feinstein J., et al. On coupling a lumped parameter heart model and a three-dimensional finite element aorta model. Ann Biomed Eng 2009, 2153-2169.
24. Küttler U., Gee M., Förster C., Comerford A., Wall W.A. Coupling strategies for biomedical fluid-structure interaction problems. Commun Numer Meth Eng 2009.
25. Küttler U., Wall W.A. The dilemma of domain decomposition approaches in fluid-structure interactions with fully enclosed incompressible fluids. Lect Notes Comput Sci Eng 2008, vol. 60:575-582. Springer, Berlin.
26. Langewouters GJ. Visco-elasticity of the human aorta in vitro in relation to pressure and age. PhD thesis, Amsterdam: Free University; 1982.
27. Liu Y., Dang C., Garcia M., Gregersen H., Kassab G.S. Surrounding tissues affect vessel mechanics. AJP - Heart Circ Physiol 2008, (294):514-523.
28. Moireau P, Xiao N, Astorino M, Figueroa CA, Chapelle C, Taylor CA, et al. External tissue support and fluid-structure simulation in blood flows. To Appear Biomech Model Mechanobiol, 2009.
29. Mok D.P., Wall W.A. Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures. Trends in computational structural mechanics 2001, K.U. Bletzinger, CIMNE, Barcelona. K. Schweizerhof, W. Wall (Eds.).
30. Nichols W.W., O'Rourke M.F., Hartley C., McDonald D.A. McDonald's blood flow in arteries: theoretical, experimental, and clinical principles 1998, Arnold, Oxford University Press, New York. 4th ed.
31. Nobile F. Numerical approximation of fluid-structure interaction problems with application to haemodynamics. PhD thesis, École Polytechnique Fédérale de Lausanne; 2001.
32. Parolini N, Burman E. Subgrid edge stabilization for transport equations. Technical report, 2005. EPFL-IACS report 09.2005.
33. Perktold K., Rappitsch G. Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J Biomech 1995, 28(7):845-856.
34. Quarteroni A. Numerical models for differential problems. Modeling, simulation and applications 2009, vol. 3. Springer, Milan.
35. Quarteroni A., Valli A. Numerical approximation of partial differential equations. Springer series in computational mathematics 1994, vol. 23. Springer-Verlag, Berlin.
36. Quarteroni A., Valli A. Domain decomposition methods for partial differential equations 1999, Oxford Science Publications, Oxford.
37. Reymond P, Bohraus Y, Perren F, Lazeyras F, Stergiopulos N. Validation of a person-specific 1-d model of the systemic arterial tree. In: Proceedings for 12th Mediterranean conference on medical and biological engineering and computing (MEDICON 2010), Chalkidiki, Greece: Springer, Science; 2010. p. 1000.
38. Reymond P, Crosetto P, Kontaxakis D, Deparis S, Quarteroni A, Stergiopulos N. Physiological aspects of fluid-structure interaction and their effects on blood flow in a person-specific aorta. in preparation.
39. Rodri{dotless}́guez J.F., Ruiz C., Doblaré M., Holzapfel G.A. Mechanical stresses in abdominal aortic aneurysms: influence of diameter, asymmetry, and material anisotropy. J Biomech Eng 2008, 130(2):021023.
40. Scovazzi G, Hughes T. Lecture notes on continuum mechanics on arbitrary moving domains. Technical report, Albuquerque (NM): Sandia National Laboratories; 2007.
41. Stein K., Tezduyar T., Benney R. Computational methods for modeling parachute systems. Comput Sci Eng 2003, 5:39-46.
42. van Prehn J., Vincken K., Sprinkhuizen S., Viergever M., van Keulen J., van Herwaarden J., et al. Aortic pulsatile distention in young healthy volunteers is asymmetric: analysis with ecg-gated mri. Eur J Vasc Endovasc Surgery 2009, 37(2):168-174.
43. Wu J.-Z., Ma H.-Y., Zhou M.-D. Vorticity and vortex dynamics 2006, Springer. 1st ed.
44. Zhao A.R., Field M.L., Digges K., Richens D. Blunt trauma and acute aortic syndrome: a three-layer finite-element model of the aortic wall. Eur J Cardio-Thorac Surgery 2008, 34(3):623-629.