Fluid-Structure Coupled CFD Simulation of the Left Ventricular Flow During Filling Phase
The fluid-structure coupled simulation of the heart, though at its developing stage, has shown great prospect in heart function investigations and clinical applications. The purpose of this paper is to verify a commercial software based fluid-structure interaction scheme for the left ventricular filling. The scheme applies the finite volume method to discretize the arbitrary Lagrangian–Eulerian formulation of the Navier–Stokes equations for the fluid while using the nonlinear finite element method to model the structure. The coupling of the fluid and structure is implemented by combining the fluid and structure equations as a unified system and solving it simultaneously at every time step. The left ventricular filling flow in a three-dimensional ellipsoidal thin-wall model geometry of the human heart is simulated, based on a prescribed time-varying Young’s modulus. The coupling converges smoothly though the deformation is very large. The pressure–volume relation of the model ventricle, the spatial and temporal distributions of pressure, transient velocity vectors as well as vortex patterns are analyzed, and they agree qualitatively and quantitatively well with the existing data. This preliminary study has verified the feasibility of the scheme and shown the possibility to simulate the left ventricular flow in a more realistic way by adding a myocardial constitutive law into the model and using a more realistic heart geometry.
KeywordsFluid-structure interaction Computational fluid dynamics Left ventricular filling
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- 7.Fung, Y. C. Biomechanics: Circulation. 2nd ed. Berlin, Heidelberg, New York: Springer, 1997.Google Scholar
- 10.Keber, R. Computational fluid dynamics simulation of human left ventricular flow. PhD Dissertation, University of Karlsruhe, Karlsruhe. (In German), 2003.Google Scholar
- 16.McQueen, D. M., and C. S. Peskin. A three-dimensional computer model of the human heart for studying cardiac fluid dynamics. Comput. Graph. 34:56–60, 2000.Google Scholar
- 17.Nakamura, M., S. Wada, T. Mikami, A. Kitabatake, and T. Karino. A computational fluid mechanical study on the effects of opening and closing of the mitral orifice on a transmitral flow velocity profile and an early diastolic intraventricular flow. JSME Int. J. Ser. C –Mech. Syst. Mach. Elem. Manufact. 45:913–922, 2002.Google Scholar
- 20.Nikolic, S. D., M. P. Feneley, O. E. Pajaro, J. S. Rankin, and E. L. Yellin. Origin of regional pressure gradients in the left ventricle during early diastole. Am. J. Physiol.-Heart Circulatory Physiol. 37(2):H550–H557, 1995.Google Scholar
- 21.Peskin, C. S., and D. M. McQueen. Fluid dynamics of the heart and its valves, case studies in mathematical modeling. In: Ecology, Physiology and Cell Biology, edited by H. G. Othmer. New Jersey: Prentice-Hall, 1996, pp. 309–337.Google Scholar
- 23.Saber, N. R., N. B. Wood, A. D. Gosman, R. D. Merrifield, G. Z. Yang, C. L. Charrier, P. D. Gatehouse, and D. N. Firmin. Progress towards patient-specific computational flow modeling of the left heart via combination of magnetic resonance imaging with computational fluid dynamics. Ann. Biomed. Eng. 31(1):42–52, 2003.CrossRefPubMedGoogle Scholar
- 28.Vesier, C., J. D. Lemmon, R. A. Levine, and A. P. Yoganathan. A three-dimensional computational model of a thin-walled left ventricle. In: Proceedings on IEEE Supercomputing ‘92, 16–20 November, pp. 73–82, 1992.Google Scholar
- 30.Vierendeels, J. A., K. Riemslagh, E. Dick, and P. Verdonck. Computer simulation of left ventricular filling flow: Impact study on echocardiograms. Comput. Cardiol. 26:177–180, 1999.Google Scholar
- 32.Watanabe, H., T. Hisada, S. Sugiura, J. Okada, and H. Fukunari. Computer simulation of blood flow, left ventricular wall motion and their interrelationship by fluid-structure interaction finite element method. JSME Int. J. Ser. C –Mech. Syst. Mach. Elem. Manufact. 45(4):1003–1012, 2002.Google Scholar
- 33.Zhang, H., and K. J. Bathe. Direct and iterative computing of fluid flows fully coupled with structures. In: Computational Fluid and Solid Mechanics, edited by K. J. Bathe, Elsevier Science, 2001.Google Scholar