Full Eulerian simulations of biconcave neo-Hookean particles in a Poiseuille flow

Computational Mechanics

Volumn 46, Issue 1, 2010, Pages 147-157

  Sugiyama, Kazuyasu ^a   Ii, Satoshi ^a   Takeuchi, Shintaro ^a   Takagi, Shu ^a,b   Matsumoto, Yoichiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b RIKEN   (Japan)

Author keywords

Eulerian formulation; Fluid structure interaction; Particle particle interaction

Indexed keywords

DEFORMATION; FINITE DIFFERENCE METHOD; NEWTONIAN LIQUIDS;

COMPLICATED GEOMETRY; EULERIAN FORMULATIONS; EULERIAN SIMULATIONS; HYPERELASTIC MATERIALS; INITIAL CONFIGURATION; PARTICLE-PARTICLE INTERACTIONS; SOLID VOLUME FRACTION; THREE-DIMENSIONAL MOTION;

FLUID STRUCTURE INTERACTION;

EID: 77951765130     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-010-0484-2     Document Type: Article

References (48)

1. CA Taylor TJR Hughes CK Zarins 1998 Finite element modeling of blood flow in arteries Comput Methods Appl Mech Eng 158 155 196 0953.76058 10.1016/S0045-7825(98)80008-X 1626785 (Pubitemid 28424825)
2. R Torii M Oshima T Kobayashi K Takagi 2001 Numerical simulation system for blood flow in the cerebral artery using CT imaging data JSME Int J Ser C 44 982 989 10.1299/jsmec.44.982 (Pubitemid 34191276)
3. CW Hirt AA Amsden JL Cook 1974 An arbitrary Lagrangian-Eulerian computing method for all flow speeds J Comput Phys 14 227 253 0292.76018 10.1016/0021-9991(74)90051-5
4. TJR Hughes WK Liu TK Zimmermann 1981 Lagrangian-Eulerian finite element formulation for incompressible viscous flows Comput Methods Appl Mech Eng 29 329 349 0482.76039 10.1016/0045-7825(81)90049-9 659925 (Pubitemid 12509257)
5. TE Tezduyar M Behr J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial- domain/space-time procedure: I. The concept and the preliminary numerical tests Comput Methods Appl Mech Eng 94 339 351 0745.76044 10.1016/0045-7825(92)90059-S 1153059
6. TE Tezduyar M Behr S Mittal J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders Comput Methods Appl Mech Eng 94 353 371 0745.76045 10.1016/0045-7825(92)90060-W 1153060
7. AA Johnson TE Tezduyar 1996 Simulation of multiple spheres falling in a liquid-filled tube Comput Methods Appl Mech Eng 134 351 373 0895.76046 10.1016/0045-7825(95)00988-4 1412010
8. AA Johnson TE Tezduyar 1997 3D simulation of fluid-particle interactions with the number of particles reaching 100 Comput Methods Appl Mech Eng 145 301 321 0893.76043 10.1016/S0045-7825(96)01223-6 (Pubitemid 27405518)
9. AA Johnson TE Tezduyar 1999 Advanced mesh generation and update methods for 3D flow simulations Comput Mech 23 130 143 0949.76049 10.1007/s004660050393
10. V Kalro TE Tezduyar 2000 A parallel 3D computational method for fluid-structure interactions in parachute systems Comput Methods Appl Mech Eng 190 321 332 0993.76044 10.1016/S0045-7825(00)00204-8
11. K Stein R Benney T Tezduyar J Potvin 2001 Fluid-structure interactions of a cross parachute: numerical simulation Comput Methods Appl Mech Eng 191 673 687 0999.76085 10.1016/S0045-7825(01)00312-7 (Pubitemid 34004496)
12. Y Bazilevs VM Calo Y Zhang TJR Hughes 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow Comput Mech 38 310 322 1161.74020 10.1007/s00466-006-0084-3 2246128 (Pubitemid 43970670)
13. CA Figueroa IE Vignon-Clemental KE Jansen TJR Hughes CA Taylor 2006 A coupled momentum method for modeling blood flow in three-dimensional deformable arteries Comput Methods Appl Mech Eng 195 5685 5706 1126.76029 10.1016/j.cma.2005.11.011 (Pubitemid 44177275)
14. TE Tezduyar S Sathe T Cragin B Nanna BS Conklin J Pausewang M Schwaab 2007 Modeling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics Int J Numer Methods Fluids 54 901 922 05169598 10.1002/fld.1443 2333014 (Pubitemid 47009684)
15. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2007 Influence of wall elasticity in patient-specific hemodynamics simulations Comput Fluids 36 160 168 1113.76105 10.1016/j.compfluid.2005.07.014 (Pubitemid 44615426)
16. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2008 Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structual modeling Comput Mech 43 151 159 1169.74032 10.1007/s00466-008-0325-8
17. K Takizawa J Christopher TE Tezduyar S Sathe 2010 Space-time finite element computation of arterial fluid-structure interactions with patient-specific data Int J Numer Methods Biomed Eng 26 101 116 1180.92023 10.1002/cnm.1241
18. Q Zhang T Hisada 2001 Analysis of fluid-structure interaction problems with structural buckling and large domain changes by ALE finite element method Comput Methods Appl Mech Eng 190 6341 6357 1015.74064 10.1016/S0045-7825(01) 00231-6 (Pubitemid 32989720)
19. H Watanabe S Sugiura H Kafuku T Hisada 2004 Multiphysics simulation of left ventricular filling dynamics using fluid-structure interaction finite element method Biophys J 87 2074 2085 10.1529/biophysj.103.035840 (Pubitemid 39167060)
20. CS Peskin 1972 Flow patterns around heart valves: a numerical method J Comput Phys 10 252 271 0244.92002 10.1016/0021-9991(72)90065-4 1139110
21. CS Peskin 2002 The immersed boundary method Acta Numer 11 479 517 1123.74309 10.1017/S0962492902000077 2009378
22. L Zhang A Gerstenbetger X Wang WK Liu 2004 Immersed finite element method Comput Methods Appl Mech Eng 193 2051 2067 1067.76576 10.1016/j.cma.2003.12.044 (Pubitemid 38463397)
23. CD Eggleton AS Popel 1998 Large deformation of red blood cell ghosts in a simple shear flow Phys Fluids 10 1834 1845 10.1063/1.869703
24. WK Liu Y Liu D Farrell L Zhang XS Wang Y Fukui N Patankar Y Zhang C Bajaj 2006 Immersed finite element method and its applications to biological systems Comput Methods Appl Mech Eng 195 1722 1749 1178.76232 10.1016/j.cma.2005.05.049 2203990 (Pubitemid 43116272)
25. X Gong K Sugiyama S Takagi Y Matsumoto 2009 The deformation behavior of multiple red blood cells in a capillary vessel J Biomech Eng 131 074504 10.1115/1.3127255
26. N Matsunaga H Liu R Himeno 2002 An immersed-based computational fluid dynamics method for haemodynamic simulation JSME Int J Ser C 45 989 996 10.1299/jsmec.45.989 (Pubitemid 36360537)
27. K Yokoi F Xiao H Lui K Fukasaku 2005 Three-dimensional numerical simulation of flows with complex geometries in a regular Cartesian grid and its application to blood flow in cerebral artery with multiple aneurysms J Comput Phys 202 1 19 1061.76065 10.1016/j.jcp.2004.06.018 2102877 (Pubitemid 39525422)
28. Noda S, Fukasaku K, Himeno R (2006) Blood flow simulator using medical images without mesh generation. IFMBE Proc. of World Cong. on medical physics and biomedical engineering 2006, Seoul, Korea, pp 36-40
29. CW Hirt BD Nichols 1981 Volume of fluid (VOF) method for the dynamics of free boundaries J Comput Phys 39 201 225 0462.76020 10.1016/0021-9991(81)90145-5
30. E Evans Y Fung 1972 Improved measurement of the erythrocyte geometry Microvasc Res 4 335 347 10.1016/0026-2862(72)90069-6
31. H Zhao JB Freund RD Moser 2008 A fixed-mesh method for incompressible flow-structure systems with finite solid deformation J Comput Phys 227 3114 3140 05255231 10.1016/j.jcp.2007.11.019 2392726
32. Tryggvason G, Sussman M, Hussaini MY (2007) Immersed boundary methods for fluid interfaces. In: Prosperetti A, Tryggvason G (eds) Computational methods for multiphase flow, chapter 3. Cambridge University Press, Cambridge
33. A Johnson T Tezduyar 2001 Methods for 3D computation of fluid-object interactions in spatially-periodic flows Comput Methods Appl Mech Eng 190 3201 3221 0971.76048 10.1016/S0045-7825(00)00389-3 (Pubitemid 32379077)
34. X Wang WK Liu 2004 Extended immersed boundary method using FEM and RKPM Comput Methods Appl Mech Eng 193 1305 1321 1060.74676 10.1016/j.cma.2003.12.024 (Pubitemid 38439216)
35. Bonet J, Wood RD (2008) Nonlinear continuum mechanics for finite element analysis, chapter 4, 2nd edn. Cambridge University Press, Cambridge
36. C Liu NJ Walkington 2001 An Eulerian description of fluids containing visco-elastic particles Arch Ration Mech Anal 159 229 252 1009.76093 10.1007/s002050100158 1857673
37. Peyret R, Taylor TD (1983) Computational methods for fluid flow, chapter 2. Springer, New York
38. Ferziger JH, Perić M (1996) Computational methods for fluid dynamics, chapter 3. Springer, Berlin
39. FH Harlow JE Welch 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface Phys Fluids 8 2182 2189 1180.76043 10.1063/1.1761178
40. G-S Jiang C-W Shu 1996 Efficient implementation of weighted ENO scheme J Comput Phys 126 202 228 0877.65065 10.1006/jcph.1996.0130 1391627 (Pubitemid 126162204)
41. Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces, chapter 3. Springer, New York
42. Canuto C, Hussaini MY, Quarteroni A, Zang TA (1988) Spectral methods in fluid dynamics. Springer, Heidelberg
43. AA Amsden FH Harlow 1970 A simplified mac technique for incompressible fluid flow calculation J Comput Phys 6 322 325 0206.55002 10.1016/0021-9991(70) 90029-X
44. Sugiyama K, Ii S, Takeuchi S, Takagi S, Matsumoto Y, A full Eulerian finite difference approach for solving fluid-structure coupling problems (in preparation)
45. JM Skotheim L Mahadevan 2004 Soft lubrication Phys Rev Lett 92 245509 10.1103/PhysRevLett.92.245509
46. Leal LG (1992) Laminar flow and convective transport processes, chapter 4. Butterworth-Heinemann, Boston
47. M Natarajan MM Udden LV McIntire 1996 Adhesion of sickle red blood cells and damage to interleukin-1 beta stimulated endothelial cells under flow in vitro Blood 87 4845 4852
48. 12) in platelet activation initiated by binding of von Willebrand factor to platelet GP Ibα induced by conditions of high shear rate Circulation 105 2531 2536 10.1161/01.CIR. 0000016703.93845.AF (Pubitemid 34568976)