Analyzing transient turbulence in a stenosed carotid artery by proper orthogonal decomposition

Annals of Biomedical Engineering

Volumn 37, Issue 11, 2009, Pages 2200-2217

  Grinberg, Leopold ^a   Yakhot, Alexander ^b   Karniadakis, George Em ^a  

^a BROWN UNIVERSITY   (United States)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

CFD; Transitional flow; Windowed POD

Indexed keywords

2-D SLICE; ARTERIAL BIFURCATIONS; CAROTID ARTERY; CFD; CLINICAL SETTINGS; DEGREES OF FREEDOM; FLOW REGIMES; GEOMETRICAL MODELS; HIGH RESOLUTION; IN-VIVO; INTERMITTENT FLOWS; INTERNAL CAROTID ARTERY; MRI IMAGE; OUTLET BOUNDARY CONDITION; POD ANALYSIS; PROPER ORTHOGONAL DECOMPOSITIONS; THREE DIMENSIONAL SIMULATIONS; TRANSIENT TURBULENT FLOW; TRANSITIONAL FLOW; TURBULENT STATE; VARIABLE FLOW RATE; WINDOWED-POD;

HEMODYNAMICS; IMAGE RECONSTRUCTION; INDEPENDENT COMPONENT ANALYSIS; THREE DIMENSIONAL COMPUTER GRAPHICS; TRANSITION FLOW; VELOCITY MEASUREMENT;

COMPUTATIONAL FLUID DYNAMICS;

ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; BLOOD PRESSURE; CAROTID ARTERY; CAROTID ARTERY OBSTRUCTION; COMPUTER SIMULATION; FLOW KINETICS; HUMAN; METHODOLOGY; NONLINEAR SYSTEM; PATHOPHYSIOLOGY; SHEAR STRENGTH;

BLOOD FLOW VELOCITY; BLOOD PRESSURE; CAROTID ARTERIES; CAROTID STENOSIS; COMPUTER SIMULATION; HUMANS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; RHEOLOGY; SHEAR STRENGTH;

EID: 70349656326     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-009-9769-z     Document Type: Article

References (36)

1. YM Akay M Akay W Welkowitz S Lewkowicz Y Palti 1994 Dynamics of the sounds caused by partially occluded femoral arteries in dogs Ann. Biomed. Eng. 22 493 500 7825751 10.1007/BF02367085 1:STN:280:DyaK2M7is1aqtA%3D%3D (Pubitemid 24327840)
2. AD August B Ariff SAG McG Thom XY Xu AD Hughes 2007 Analysis of complex flow and relationship between blood pressure, wall shear stress, and intima-media thickness in the human carotid artery Am. J. Physiol. Heart Circ. Physiol. 293 1031 1037 10.1152/ajpheart.00989.2006 (Pubitemid 47254202)
3. RA Bajura MR Catalano 1975 Transition in a two-dimensional plane wall jet J. Fluid Mech. 70 773 799 10.1017/S0022112075002340
4. J Bale-Glickman K Selby D Saloner D Savas 2003 Experimental flow studies in exact-replica phantoms of atherosclerotic carotid bifurcations under steady input conditions J. Biomech. Eng. 125 1 38 48 12661195 10.1115/1.1537734 1:STN:280:DC%2BD3s7ks1entQ%3D%3D (Pubitemid 36297225)
5. G Berkooz P Holmes JL Lumley 1993 The proper orthogonal decomposition in the analysis of turbulent flows Ann. Rev. Fluid Mech. 25 539 575 10.1146/annurev.fl.25.010193.002543
6. RA Cassanova DP Giddens 1978 Disorder distal to modified stenoses in steady and pulsatile flow J. Biomech. 11 441 453 730759 10.1016/0021-9290(78) 90056-8 1:STN:280:DyaE1M%2FovVOhtQ%3D%3D
7. D Chungcharoen 1964 Genesis of Korotkoff sounds Am. J. Physiol. 207 190 194 14193588 1:STN:280:DyaF2c7ltFKiuw%3D%3D
8. C Clark 1980 The propagation of turbulence produced by a stenosis J. Biomech. 13 591 604 7400187 10.1016/0021-9290(80)90059-7 1:STN:280: DyaL3c3kvFKitg%3D%3D
9. PF Fischer F Loth SE Lee SW Lee D Smith H Bassiouny 2007 Simulation of high Reynolds number vascular flows Comput. Methods Appl. Mech. Eng. 196 3049 3060 10.1016/j.cma.2006.10.015 (Pubitemid 46712215)
10. L Grinberg GE Karniadakis 2008 Outflow boundary conditions for arterial networks with multiple outlets Ann. Biomed. Eng. 36 9 1496 1514 18612828 10.1007/s10439-008-9527-7
11. L Grinberg D Pekurovsky SJ Sherwin GE Karniadakis 2009 Parallel performance of a low energy basis preconditioner for spectral/hp elements Parallel Comput. 35 5 284 304 10.1016/j.parco.2008.12.002
12. Grinberg, L., A. Yakhot, and G. E. Karniadakis. DNS of flow in stenosed carotid artery. 59th Annual Meeting of the APS, Division of Fluid Dynamics, Tampa, FL, 2006.
13. Grinberg, L., A. Yakhot, and G. E. Karniadakis. Onset of turbulence in stenosed carotid artery. International Conference of the Engineering Mechanics Institute (EM08), Minneapolis, MN, 2008.
14. DW Holdsworth CJD Norley R Frayne DA Steinman BK Rutt 1999 Characterization of common carotid artery blood-flow waveforms in normal human subjects Physiol. Meas. 20 219 240 10475577 10.1088/0967-3334/20/3/301 1:STN:280:DyaK1Mvgt1GlsA%3D%3D (Pubitemid 29399835)
15. http://www.ninds.nih.gov/find-people/groups/stroke-prg/04-2002
16. GE Karniadakis M Israeli SA Orszag 1991 High-order splitting methods for the incompressible Navier-Stokes equations J. Comp. Phys. 97 1 414 10.1016/0021-9991(91)90007-8
17. Karniadakis, G. E., and S. J. Sherwin. Spectral/hp Element Methods for CFD, 2nd edn. Oxford: Oxford University Press, 2005, 650 pp.
18. RM Kirby GE Karniadakis 2003 De-aliasing on non-uniform grids: algorithms and applications J. Comp. Phys. 191 249 264 10.1016/S0021-9991(03)00314-0 (Pubitemid 37223478)
19. U Köhler I Marshall MB Robertson Q Long XY Xu 2001 MRI measurement of wall shear stress vectors in bifurcation models and comparison with CFD predictions J. Magn. Reson. Imaging 14 5 563 573 11747008 10.1002/jmri.1220 (Pubitemid 33029542)
20. DN Ku 1997 Blood flow in arteries Annu. Rev. Fluid Mech. 29 399 434 10.1146/annurev.fluid.29.1.399
21. DN Ku DP Giddens CK Zarins S Glagov 1985 Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low oscillating shear stress Arteriosclerosis 5 293 302 3994585 1:STN:280:DyaL2M7pvVGrug%3D%3D
22. Lee, S., S. W. Lee, P. F. Fischer, H. S. Bassiouny, and F. Loth. Intravascular turbulence in a diseased carotid bifurcation: numerical study. World Congress on Medical Physics and Biomedical Engineering, Seoul, Korea. IFMBE Proceedings 14, Springer, Berlin, 2006.
23. Lumley, J. L. The structure of inhomogeneous turbulent flow. In: Atmospheric Turbulence and Radio Wave Propagation, edited by A. M. Yaglom, and V. I. Tatarski. Moscow: Nauka, 1967, pp. 160-178.
24. M Manhart 1998 Vortex shedding from a hemisphere in turbulent boundary layer Theoret. Comput. Fluid Dyn. 12 1 1 28 10.1007/s001620050096 1:CAS:528:DyaK1cXkslGltrg%3D (Pubitemid 128106948)
25. Private communication with Kutay Ustuner, Scientist, Principal Siemens, Health Care Ultrasound Division.
26. JS Sauve KE Thorpe DL Sackett W Taylor HJM Barnett RB Haynes AJ Fox 1994 Can bruits distinguish high-grade from moderate symptomatic carotid stenosis? Ann. Intern. Med. 120 8 633 637 8135446 1:STN:280:DyaK2c7ot1yhug%3D%3D
27. SJ Sherwin HM Blackburn 2005 Three-dimensional instabilities of steady and pulsatile axisymmetric stenotic flows J. Fluid Mech. 533 297 327 10.1017/S0022112005004271 (Pubitemid 40974299)
28. SJ Sherwin M Casarin 2001 Low-energy basis preconditioning for elliptic substructured solvers based on unstructured spectral/hp element discretization J. Comp. Phys. 171 1 394 417 10.1006/jcph.2001.6805 (Pubitemid 33667124)
29. L Sirovich 1987 Turbulence and dynamics of coherent structures: I-III Quart. Appl. Math. 45 561 590
30. DA Steinman TL Poepping M Tambasco RN Rankin DW Holdsworth 2000 Flow patterns at the stenosed carotid bifurcation: effect of concentric versus eccentric stenosis Ann. Biomed. Eng. 28 4 415 423 10870898 10.1114/1.279 1:STN:280:DC%2BD3M%2FitlCgsQ%3D%3D (Pubitemid 30886661)
31. JS Stroud SA Berger D Saloner 2002 Numerical analysis of flow through a severely stenotic carotid artery bifurcation J. Biomech. Eng. 124 9 20 11871610 10.1115/1.1427042 1:STN:280:DC%2BD387js12rsg%3D%3D (Pubitemid 34165109)
32. SS Varghese SH Frankel PF Fischer 2007 Direct numerical simulation of stenotic flows. Part 2. Pulsatile flow J. Fluid Mech. 582 281 318 10.1017/S0022112007005836 (Pubitemid 47307528)
33. Volino, P., and N. Magnenat-Thalmann. The SPHERIGON: a simple polygon patch for smoothing quickly your polygonal meshes. Proceedings of the Computer Animation, 1998, pp. 72-78.
34. S Wang W Lee J Provost J Luo E Konofagou 2008 A composite high-frame-rate system for clinical cardiovascular imaging IEEE Trans. Ultrason. Ferroelectr. Freq. Control 55 10 2221 2233 18986870 10.1109/TUFFC.921
35. www.pointwise.com. Accessed 2 August 2009.
36. A Yakhot T Anor GE Karniadakis 2007 A reconstruction method for gappy and noisy arterial flow data IEEE Trans. Med. Imaging 26 12 1681 1697 18092738 10.1109/TMI.2007.901991 (Pubitemid 350183914)