Unsteady flow in a 2D elastic tube with the LBGK method

Future Generation Computer Systems

Volumn 20, Issue 6 SPEC. ISS., 2004, Pages 917-924

  Hoekstra, A G ^a   Van't Hoff, J ^a   Artoli, A M ^a   Sloot, P M A ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Elastic tube; Lattice Boltzmann method; Moving bounbdary; Unsteady flow

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ELASTICITY; HEMODYNAMICS; NEWTONIAN LIQUIDS; SHEAR STRESS; STEADY FLOW; TUBES (COMPONENTS); VISCOSITY;

ELASTIC TUBES; LATTICE BOLTZMANN METHODS; MOVING BOUNDARY;

UNSTEADY FLOW;

EID: 3142700032     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.future.2003.12.003     Document Type: Conference Paper

References (19)

1. Artoli A.M., Hoekstra A.G., Sloot P.M.A., 3D pulsatile flow in the lattice Boltzmann BGK method. Int. J. Mod. Phys. C. 13:2002;1119-1134.
2. Artoli A.M., Hoekstra A.G., Sloot P.M.A., Simulation of a systolic cycle in a realistic artery with the lattice Boltzmann BGK method. Int. J. Mod. Phys. B. 17:2003;95-98.
3. A.M. Artoli, A.G. Hoekstra, P.M.A. Sloot, Mesoscopic simulations of flow in the human abdominal aorta, J. Biomech., accepted for publication, 2004.
4. Y.C. Fung, Biomechanics, Circulation, Springer, New York, 1984.
5. R.G. Belleman, P.M.A. Sloot, The design of dynamic exploration environments for computational steering simulations, in: M. Bubak, J. Moscinski, M. Noga (Eds.), Proceedings of the SGI Users' Conference 2000, 2000, pp. 57-74. ISBN 83-902363-9-7.
6. R.G. Belleman, P.M.A. Sloot, Simulated vascular reconstruction in a virtual operating theatre, in: H.U. Lemke, M.W. Vannier, K. Inamura, A.G. Farman, K. Doi (Eds.), Computer Assisted Radiology and Surgery, Excerpta Medica, Int. Cong. Ser. 1230 (2001) 938-944.
7. Bouzidi M., Firdaouss M., Lallemand P., Momentum transfer of a lattice Boltzmann fluid with boundaries. Phys. Fluids. 13:2001;3452-3459.
8. Fang H., Wang Z., Lin Z., Liu M., Lattice Boltzmann method for simulating the viscous flow in large distensible arteries. Phys. Rev. E. 65:2002;051925.
9. Gijsen F.J.H., Allanic E., van de Vosse F.N., Janssen J.D., The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 900 curved tube. J. Biomech. 32:1999;705-713.
10. Gijsen F.J.H., van de Vosse F.N., 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. 32:1999;601-608.
11. Ku D.N., Blood flow in arteries. Annu. Rev. Fluid Mech. 29:1997;399-434.
12. Moore J.A., Steinman D.A., Ethier C.R., Computational blood flow modeling: errors associated with reconstructing finite element models from magnetic resonance images. J. Biomech. 31:1998;179-184.
13. Perktold K., Rappitsch G., Computer simulations of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model. J. Biomech. 28:1995;845-856.
14. B.B. Sramek, J. Valenta, F. Klimes (Eds.), Biomechanics of the Cardio-Vascular System, Czech Technical University Press, Prague, 1995.
15. rffrt S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford University Press, Oxford, 2001.
16. Taylor C.A., Hughes T.J.R., Zarins C.K., Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis. Ann. Biomed. Eng. 26:1998;975-987.
17. Vorp D.A., Steinman D.A., Ethier C.R., Computational modeling of arterial biomechanics. IEEE Comput. Sci. Eng. 3:2001;51-64.
18. Womersley J.R., Oscillatory motion of a viscous liquid in a thin-walled elastic tube. I. The linear approximation for long waves. Phil. Mag. 46:1955;199-221.
19. Zou Q., He X., On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys. Fluids. 9:1997;1591.