Coupling the lattice-Boltzmann and spectrin-link methods for the direct numerical simulation of cellular blood flow

International Journal for Numerical Methods in Fluids

Volumn 68, Issue 6, 2012, Pages 767-781

  Reasor, Daniel A ^a   Clausen, Jonathan R ^a   Aidun, Cyrus K ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Lattice Boltzmann; Multiphase flow; Red blood cells; Spectrin link modeling

Indexed keywords

BLOOD FLOW; COMPUTATIONAL PERFORMANCE; DENSE SUSPENSION; FINITE ELEMENTS; HAGEN-POISEUILLE FLOW; LATTICE BOLTZMANN; MEMBRANE METHODS; RED BLOOD CELL; SUSPENSION FLOWS;

BLOOD; CELLS; MULTIPHASE FLOW; NUMERICAL METHODS; SHEAR FLOW;

SUSPENSIONS (FLUIDS);

EID: 80053997907     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2534     Document Type: Article

References (32)

1. MacMeccan RM, Clausen JR, Neitzel GP, Aidun CK. Simulating deformable particle suspensions using a coupled lattice-Boltzmann and finite-element method. Journal of Fluid Mechanics 2009; 618:13-39.
2. Pivkin IV, Karniadakis GE. Accurate coarse-grained modeling of red blood cells. Physical Review Letters 2008; 101(118105):1-4.
3. Fedosov DA, Caswell B, Karniadakis GE. Coarse-grained red blood cell model with accurate mechanical properties, rheology and dynamics. 31st IEEE International Conference on EMBS, Minneapolis, MN, 2-6 September 2009; 4266-4269.
4. Dao M, Li J, Suresh S. Molecularly based analysis of deformation of spectrin network and human erythrocyte. Materials Science and Engineering: C 2006; 26:1232-1244.
5. Li J, Dao M, Lim CT, Suresh S. Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte. Biophysical Journal 2005; 88:3707-3719.
6. Aidun CK, Lu Y, Ding EJ. Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. Journal of Fluid Mechanics 1998; 373:287-311.
7. Clausen JR, Reasor DA, Aidun CK. Parallel performance of a lattice-Boltzmann/finite element cellular blood flow solver on the IBM Blue Gene/P Architecture. Computer Physics Communications 2010; 181:1013-1020.
8. Mills JP, Qie L, Dao M, Lim CT, Suresh S. Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. MCB 2004; 1(3):169-180.
9. Chen S, Doolen GD. Lattice Boltzmann method for fluid flows. Annual Review of Fluid Mechanics 1998; 30:329-364.
10. Karlin IV, Ferrante A, Ottinger HC. Perfect entropy functions of the lattice Boltzmann method. EuroPhysics Letters 1999; 47:182-188.
11. d'Humiéres D. Generalized lattice Boltzmann equations. In Rarefied Gas Dynamics: Theory and Simulations, Shizgal B, Weaver D (eds), vol. 159. AIAA: Washington, DC, 1992; 450-458.
12. Aidun CK, Clausen JR. Lattice-Boltzmann method for complex flows. Annual Review of Fluid Mechanics 2010; 42:439-472.
13. Bhatnagar PL, Gross EP, Krook M. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Physical Review 1954; 94(3):511-525.
14. Marko JF, Siggia ED. Stretching DNA. Macromolecules 1995; 28:8759-8770.
15. Bustamante C, Bryant Z, Smith SB. Ten years of tension: single-molecule DNA mechanics. Nature 2003; 421:423-427.
16. Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. Journal of Fluid Mechanics 1994; 271:285-309.
17. Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. Journal of Fluid Mechanics 1994; 271:311-339.
18. Aidun CK, Lu Y. Lattice Boltzmann simulation of solid particles suspended in fluid. Journal of Statistical Physics 1995; 81(1):49-61.
19. Ziegler DP. Boundary conditions for lattice Boltzmann simulations. Journal of Statistical Physics 1993; 71:1171-1177.
20. Ginzburg I, Adler P. Boundary flow condition analysis for the 3-dimensional lattice Boltzmann model. Journal of Physics II 1994; 4:191-214.
21. Noble DR, Chen S, Georgiadis JG, Buckius RO. A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Physics of Fluids 1995; 7:203-209.
22. Clausen JR. The effect of particle deformation on the rheology of noncollodial suspensions. Ph.D. Thesis, Georgia Institute of Technology, 2010.
23. Clausen JR, Aidun CK. Capsule dynamics and rheology in shear flow: particle pressure and normal stress. Physics of Fluids 2010; 22(123302):1-11.
24. Ding EJ, Aidun CK. Extension of the lattice-Boltzmann method for direct simulation of suspended particles near contact. Journal of Statistical Physics 2003; 112(3/4):685-708.
25. MacMeccan RM. Mechanistic effects of erythrocytes on platelet deposition in coronary thrombosis. Ph.D. Thesis, Georgia Institute of Technology, 2007.
26. Dao M, Lim CT, Suresh S. Mechanics of the human red blood cell deformed by optical tweezers. Journal of the Mechanics and Physics of Solids 2003; 51:2259-2280.
27. Fedosov DA, Caswell B, Karniadakis GE. A multiscale red blood cell model with accurate mechanics, rheology, and dynamics. Biophysical Journal 2010; 98:2215-2225.
28. Fedosov DA, Caswell B, Karniadakis GE. Systematic coarse-graining of spectrin-level red blood cell models. Computer Methods in Applied Mechanics and Engineering 2010; 199:1937-1948.
29. Abkarian M, Faivre M, Viallat A. Swinging of red blood cells under shear flow. Physical Review Letters 2007; 98(188302):1-4.
30. Skotheim JM, Secomb TW. Red blood cells and other nonspherical capsules in shear flow: oscillatory dynamics and the tank-treading-to-tumbling transition. Physical Review Letters 2007; 98(078301):1-4.
31. Yao W, Wen Z, Yan Z, Sun D, Ka W, Xie L, Chien S. Low viscosity Ektacytometry and its validation tested by flow chamber. Journal of Biomechanics 2001; 34:1501-1509.
32. Tsukada K, Sekizuka E, Oshio C, Minamitani H. Direct measurement of erythrocyte deformability in diabetes mellitus with a transparent microchannel capillary model and high-speed video camera system. Microvascular Research 2001; 61:231-239.