Models and finite element techniques for blood flow simulation

International Journal of Computational Fluid Dynamics

Volumn 20, Issue 3-4, 2006, Pages 175-181

  Behr, M ^a,b   Arora, D ^b   Coronado, O M ^b   Pasquali, M ^b  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b Rice University   (United States)

Author keywords

Blood pump design; Computational fluid dynamics; Red blood cells; Stabilised finite element method; Ventricular assists devices; Viscoelastic flow

Indexed keywords

EID: 33748578616     PISSN: 10618562     EISSN: 10290257     Source Type: Journal    
DOI: 10.1080/10618560600789776     Document Type: Conference Paper

References (34)

1. Abraham, F., Behr, M. and Heinkenschloss, M., Shape optimization in stationary blood flow: a numerical study of non-Newtonian effects. Comput. Methods Biomech. Biomed. Eng., 2005, 8, 127-137.
2. American Society for Testing and Materials, Standard practice for assessment of hemolysis in continuous flow blood pumps, Standard F 1841-97, ASTM, 1997.
3. Anderson, J.B., Wood, H.G., Allaire, P.E., Bearnson, G. and Khanwilkar, P., Computational flow study of the continuous flow ventricular assist device, prototype number 3 blood pump. Artif. Org., 2000, 24, 377-385.
4. Apel, J., Paul, R., Klaus, S., Siess, T. and Reul, H., Assessment of hemolysis related quantities in a microaxial blood pump by computational fluid dynamics. Artif. Org., 2001, 25, 341-347.
5. Arora, D., Behr, M. and Pasquali, M., A tensor-based measure for estimating blood damage. Artif. Org., 2004, 28, 1002-1015.
6. Arvand, A., Hahn, N., Hormes, M., Akdis, M., Martin, M. and Reul, H., Comparison of hydraulic and hemolytic properties of different impeller designs of an implantable rotary blood pump by computational fluid dynamics. Artif. Org., 2004, 28, 892-898.
7. Behr, M. and Tezduyar, T.E., Finite element solution strategies for large-scale flow simulations. Comput. Methods Appl. Mech. Eng., 1994, 112, 3-24.
8. Behr, M. and Arora, D., Shear-slip mesh update method: implementation and applications. Comput. Methods Biomech. Biomed. Eng., 2003, 6, 113-123.
9. Behr, M., Arora, D., Coronado-Matutti, O. and Pasquali, M., Stabilized finite element methods of GLS type for Oldroyd-B viscoelastic fluid. In Proceedings of the European Congress on Computational Methods in Applied Science and Engineering ECCOMAS 2004, edited by P. Neittaanmäki, T. Rossi, E. Oñate, J. Périaux and D. Knörzer, 2004a (ECCOMAS: Jyväskylä, Finland).
10. Behr, M., Arora, D., Nosé, Y. and Motomura, T., Performance analysis of ventricular assist devices using finite element flow simulation. International Journal for Numerical Methods in Fluids, 2004b, 46, 1201-1210.
11. Blackshear, P.L. and Blackshear, G.L., Mechanical hemolysis. In Handbook of Bioengineering, edited by R. Skalak and S. Chien, pp. 15.1-15.19, 1987 (McGraw-Hill: New York).
12. Bludszuweit, C., Three-dimensional numerical prediction of stress loading of blood particles in a centrifugal pump. Artif. Org., 1995, 19, 590-596.
13. Fischer, T.M., Stöhr-Liesen, M. and Schmid-Schönbein, H., The red cell as a fluid droplet: Tank tread-like motion of the human erythrocyte membrane in shear flow. Science. 1978, 202, 894-896.
14. Fortin, M. and Fortin, A., A new approach for the FEM simulation of viscoelastic flows. J. Non-Newtonian Fluid Mech., 1989, 32, 295-310.
15. Fortin, M. and Pierce, R., On the convergence of the mixed method of Crochet and Marchai for viscoelastic flows. Comput. Methods Appl. Mech. Eng., 1987, 7, 1035-1052.
16. Giersiepen, M., Wurzinger, L.J., Opitz, R. and Reul, H., Estimation of shear stress-related blood damage in heart valve prostheses - in vitro comparison of 25 aortic valves. Int. J. Artif. Org., 1990, 13, 300-306.
17. Gijsen, F.J.H., van de Vosse, F.N. and Janssen, J.D., The influence of the non-newtonian properties of blood on the flow in large arteries: steady flow in a carotid bifurcation model. J. Biomech., 1999, 32, 601-608.
18. Goubergrits, L. and Affeld, K., Numerical estimation of blood damage in artificial organs. Artif. Org., 2004, 28, 499-507.
19. Guénette, R. and Fortin, M., A new mixed finite element method for computing viscoelastic flows. J. Non-Newtonian Fluid Mech., 1995, 60, 27-52.
20. Hénon, S., Lenormand, G., Richert, A. and Gallet, F., A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers. Biophysical J., 1999, 76, 1145-1151.
21. Leuprecht, A. and Perktold, K., Computer simulation of non-newtonian effects on blood flow in large arteries. Comput Methods Biomech Biomed Eng. 2001, 4, 149-163.
22. Leverett, L.B., Heliums, J.D., Alfrey, C.P. and Lynch, E.C., Red blood cell damage by shear stress. Biophysical J., 1972, 12, 257-273.
23. Maffettone, P.L. and Minale, M., Equation of change for ellipsoidal drops in viscous flow. J Non-Newtonian Fluid Mech., 1998, 78, 227-241.
24. Marchal, J.M. and Crochet, M.J., A new mixed finite element for calculating viscoelastic flow. J. Non-Newtonian Fluid Mech., 1987, 26, 77-114.
25. Miyazoe, Y., Sawairi, T., Ito, K., Konishi, Y., Yamane, T., Nishida, M., Asztalos, B., Masuzawa, T., Tsukiya, T., Endo, S. and Taenaka, Y., Computational fluid dynamics analysis to establish the design process of a centrifugal blood pump: second report. Artif. Org., 1999, 23, 762-768.
26. Nosé, Y., Yoshikawa, M., Murabayashi, S. and Takano, T., Development of rotary blood pump technology: past, present, and future. Artif. Org., 2000, 24, 412-420.
27. Schmid-Schönbein, H. and Wells, R., Fluid drop-like transition of erythrocytes under shear. Science, 1969, 165, 288-291.
28. Sun, J., Smith, M.D., Armstrong, R.C. and Brown, A., Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS-G/DG. J. Non-Newtonian Fluid Mech., 1999, 86, 281-307.
29. Szady, M.J., Salamon, T.R., Liu, A.W., Armstrong, R.C. and Brown, A., A new mixed finite element method for viscoelastic flows governed by differential constitutive equations. J. Non-Newtonian Fluid Mech., 1995, 59, 215-243.
30. Williams, A.R., Shear-induced fragmentation of human erythrocytes. Biorheology, 1973, 10, 303-311.
31. Yeleswarapu, K.K., Antaki, J.F., Kameneva, M.V. and Rajagopal, R., A mathematical model for shear-induced hemolysis. Artif. Org., 1995, 19, 576-582.
32. Yeleswarapu, K.K., Evaluation of continuum models for characterizing the constitutive behavior of blood. Ph.D. thesis, University of Pittsburgh, Department of Mechanical Engineering, 1996.
33. Yoshikawa, M., Nonaka, K., Linneweber, J., Kawahito, S., Ohtsuka, G., Nakata, K., Takano, T., Schulte-Eistrup, S., Glueck, J., Schima, H., Wolner, E. and Nosé, Y., Development of the NEDO implantable ventricular assist device with gyro centrifugal pump. Artif. Org., 2000, 24, 459-467.
34. Yuri, K., Iwahashi, H., Motomura, T., Hata, A., Asai, T., Nosé, Y., Arora, D., Behr, M. and Pasquali, M., Different levels of hemolysis occurred by a centrifugal blood pumps in various clinical conditions. ASAIO J., 2004, 50, ASAIO 50th Anniversary Conference Abstracts 121.