Conservative and non-conservative arbitrary Lagrangian-Eulerian forms for ventricular flows

International Journal for Numerical Methods in Fluids

Volumn 56, Issue 8, 2008, Pages 1457-1463

  Nordsletten, David A ^a,b   Hunter, P J ^b   Smith, N P ^a,b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Blood flow; Finite element; Navier Stokes; Numerical analysis

Indexed keywords

BIOLOGICAL ORGANS; BOUNDARY LAYER FLOW; EULER EQUATIONS; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS;

ARBITRARY LAGRANGIAN-EULERIAN EQUATIONS; BLOOD FLOW;

HEMODYNAMICS;

BIOLOGICAL ORGANS; BOUNDARY LAYER FLOW; EULER EQUATIONS; FINITE ELEMENT METHOD; HEMODYNAMICS; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS;

EID: 40749117175     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1647     Document Type: Conference Paper

References (14)

1. McQueen DM, Peskin CS. A 3D computational method for blood flow in the heart. II. Contractile fibers. Journal of Computational Physics 1989; 82:289-297.
2. Lemmon JD, Yoganathan AP. Computational modeling of left heart diastolic function: examination of ventricular dysfunction. Journal of Elasticity 2000; 122:297-303.
3. Baccani B et al. Fluid dynamics of the left ventricular filling in dilated cardiomyopathy. Journal of Biomechanics 2002; 35:665-671.
4. Cheng Y, Oertel H, Schenkel T. Fluid-structure coupled CFD simulation of the left ventricular flow during filling phase. Annals of Biomedical Engineering 2005; 8:567-576.
5. Saber NR et al. Computational flow modeling of the left ventricle based on in vivo MRI data: initial experience. Annals of Biomedical Engineering 2001; 29:275-283.
6. Watanabe H et al. Computer simulation of blood flow, left ventricular wall motion and their interrelationship by fluid-structure interaction finite element method. JSME International Journal 2002; 45:1003-1012.
7. Malvern LE. Introduction to the Mechanics of Continuous Medium. Prentice-Hall: Englewood Cliffs, NJ, 1969.
8. Demirdžić I, Perić M. Space conservation law in finite volume calculations of fluid flow. International Journal for Numerical Methods in Fluids 1988; 8:1037-1050.
9. Formaggia L, Nobile F. Stability analysis of second-order time accurate schemes for ALE-FEM. Computer Methods in Applied Mechanics and Engineering 2004; 193:4097-4116.
10. Nobile F. Numerical approximation of fluid-structure interaction problems with application to haemodynamics. Ph.D. Thesis, École Polytechnique Fédérale de Lausanne, 2001; No. 2458.
11. Brezzi F, Falk RS. Stability of higher-order Hood-Taylor methods. SIAM Journal on Numerical Analysis 1991; 28:581-590.
12. Dennis J, Schnabel R. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Prentice-Hall: Philadelphia, PA, Englewood Cliffs, NJ, 1996.
13. Nash M. Hunter P. Computational mechanics of the heart. Journal of Elasticity 2000; 61:113-141.
14. Liu Y, Vinokur M. Exact integration of polynomials and symmetric quadrature formulas over arbitrary polyhedral grids. Journal of Computational Physics 1998; 140:122-147.