The unstructured lattice boltzmann method for non-Newtonian flows

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2009, Issue 6, 2009, Pages

  Pontrelli, G ^a   Ubertini, S ^b   Succi, S ^a  

^a CNR   (Italy)

^b UNIVERSITY OF NAPLES PARTHENOPE   (Italy)

Author keywords

Computational fluid dynamics; Hydrodynamics of complex fluids and biological fluid dynamics; Lattice Boltzmann methods

Indexed keywords

EID: 70449449496     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/06/P06005     Document Type: Article

References (20)

1. Benzi R, Succi S and Vergassola M 1992 The lattice Boltzmann equation: theory and applications Phys. Rep. 222 145
2. Buick J M, Cosgrove J A, Tonge S J, Mulholland A J, Steves B A and Collins M W 2003 The lattice Boltzmann equation for modelling arterial flows: reviews and applications Int. Med. 11 1
3. Cao N, Chen S, Jin S and Martinez D 1997 Physical symmetry and lattice symmetry in the lattice Boltzmann method Phys. Rev. E 55 R21
4. Qian Y, d'Humieres D and Lallemand P 1992 Lattice BGK models for Navier-Stokes equation Europhys. Lett. 17 479
5. Peng G, Xi H and Duncan C 1998 Lattice Boltzmann method on irregular meshes Phys. Rev. E 58 R4124
6. Ubertini S, Bella G and Succi S 2002 Unstructured lattice Boltzmann method: further developments Phys. Rev. E 68 016701
7. Malaspinas O, Courbebaisse G and Deville M 2007 Simulation of generalized Newtonian fluids with the lattice Boltzmann method Int. J. Mod. Phys. C 18 1939
8. Ouared R and Chopard B 2005 Lattice Boltzmann simulations of blood flow: non-Newtonian rheology and clotting processes J. Stat. Phys. 101 209
9. Artoli A M and Sequeira A 2006 Mesoscopic simulations of unsteady shear-thinning flows Lect. Notes Comput. Sci. 3992 78
10. Boyd J, Buick J M and Green S 2007 Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flow using the lattice Boltzmann method Phys. Fluids 19 093103
11. Ubertini S and Succi S 2008 A generalised lattice Boltzmann equation on unstructured grids Commun. Comput. Phys. 3 342
12. Ubertini S and Succi S 2005 Recent advances of lattice Boltzmann techniques on unstructured grids Prog. Comput. Fluid Dyn. 5 84
13. Chopard B, Ouared R and Rufenacht D A 2006 A lattice Boltzmann simulation of clotting in stented aneurysms and comparison with velocity or shear rate reductions Math. Comput. Simul. 72 108
14. Chen H et al 2003 Extended Boltzmann kinetic equation for turbulent flows Science 301 633
15. Gabbanelli S, Drazer G and Koplik J 2005 Lattice-Boltzmann method for non-Newtonian (power-law) fluids Phys. Rev. E 72 046312
16. Artoli A M, Janela J and Sequeira A 2006 The role of Womersley number in shear-thinning fluids WSEAS Trans. Fluid Mech. 1 133
17. Pontrelli G 2001 Blood flow through an axisymmetric stenosis Proc. Inst. Mech. Eng. H 215 1
18. Lee K W and Xu X Y 2002 Modelling of flow and wall behaviour in a mildly stenosed tube Med. Eng. Phys. 575
19. Jung H, Choi J W and Park C G 2004 Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery Korea-Australia Rheol. J. 101
20. Fyta M G et al 2006 Multiscale coupling of molecular dynamics and hydrodynamics: application to DNA translocation through a nanopore Mult. Mod. Simul. 5 1156