Multi-component lattice Boltzmann equation for mesoscale blood flow

Journal of Physics A: Mathematical and General

Volumn 36, Issue 31, 2003, Pages 8517-8534

  Dupin, M M ^a   Halliday, I ^a   Care, C M ^a  

^a SHEFFIELD HALLAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242360793     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/31/313     Document Type: Article

References (20)

1. Succi S 2001 The Lattice Boltzmann Equation for Fluid Mechanics and Beyond (Clarendon Press) and references therein
2. Care C M, Halliday I and Good K 2000 Lattice Boltzmann Nemato-dynamics J. Phys. Condens. Matter 12 665
3. Koponen A 1998 Simulations of fluid flow in porous media by lattice gas and lattice Boltzmann methods PhD thesis University of Jyvakyla, Finland
4. Gunstensen A K, Rothman D H, Zaleski S and Zanetti G 1991 Lattice Boltzmann model of immiscible fluids Phys. Rev. A 43 4320
5. Swift M R, Osborn W R and Yeomans J M 1995 Lattice Boltzmann simulation of non-ideal fluids Phys. Rev. Lett. 75 830
6. Thompson S P, Halliday I and Care C M 1999 Mesoscopic hydrodynamics of diphasic lattice Bhatnagar-Gross-Krook fluid interfaces Phys. Chem. Chem. Phys. 1 2183
7. Shan X W and Chen H D 1994 Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation Phys. Rev. E 49 2941
8. Benzi R, Succi S and Vergassola M 1992 The lattice-Boltzmann equation - theory and applications Phys. Rep. 3 145
9. Chen S and Doolen G D 1998 Lattice Boltzmann method for fluid flows Ann. Rev. Fluid Mech. 30 329
10. Do-Quang M, Aurell E and Vergassola M An inventory of lattice Boltzmann models of multiphase flows Internal Report Webpage www.psci.kth.se/Activities/Reports
11. Damiano E R, Westheider J, Tozeren A and Ley K 1996 Variation in the velocity, deformation, and adhesion energy density of leukocytes rolling within venules Circ. Res. 79 1122
12. Quarteroni A 2001 SIAM News July/August 9
13. Caro C G, Pedeley T J, Schroter R C and Seed W A 1978 The Mechanics of the Circulation (Oxford: Oxford Medical Publications)
14. Zou Q and He X Y 1997 On pressure and velocity boundary conditions for the lattice Boltzmann BGK model Phys. Fluids 96 1591
15. Zou Q, Hou S, Chen S and Doolen G D 1995 Analytical solutions of the lattice Boltzmann BGK model J. Stat. Phys. 81 319
16. Halliday I, Care C M and Thompson S P 1998 Macroscopic surface tension in a lattice Bhatnagar-Gross-Krook model of two immiscible fluids Phys. Rev. E 57 514
17. Halliday I, Hammond L A, Care C M, Good K and Stevens A 2001 Lattice Boltzmann equation hydrodynamics Phys. Rev. E 64 011208
18. Qian Y H, d'Humières D and Lallemand P 1992 Lattice BGK models for the Navier-Stokes equation Europhys. Lett. 17 479
19. Kachel V et al Webpage www.cyto.purdue/flowcyt/educate/ee520
20. Dupin M M, Halliday I and Care C M (in preparation)