LBflow: An extensible lattice Boltzmann framework for the simulation of geophysical flows. Part II: usage and validation

Computers and Geosciences

Volumn 36, Issue 2, 2010, Pages 123-132

  Llewellin, E W ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Geophysical model; Lattice Boltzmann errors; Lattice Boltzmann method; Model validation; Pore flow; Three dimensional flow

Indexed keywords

GEOPHYSICAL MODELS; LATTICE BOLTZMANN; LATTICE BOLTZMANN ERRORS; LATTICE BOLTZMANN METHOD; PORE FLOW; THREE-DIMENSIONAL FLOW;

DROP FORMATION; ERRORS; FLOW PATTERNS; GEOPHYSICS; PIPE; REYNOLDS NUMBER;

THREE DIMENSIONAL;

FLOW MODELING; FLUID FLOW; GEOPHYSICAL METHOD; LATTICE DYNAMICS; REYNOLDS NUMBER; SIMULATION; THREE-DIMENSIONAL FLOW;

EID: 73649083737     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2009.08.003     Document Type: Article

References (21)

1. Ahrenholz B., Tölke J., and Krafczyk M. Lattice-Boltzmann simulations in reconstructed parametrized porous media. International Journal of Computational Fluid Dynamics 20 (2006) 369-377
2. Bernaschi M., Succi S., Chen H.D., and Zhang R.Y. Computing steady state flows with an accelerated lattice Boltzmann technique. International Journal of Modern Physics C 13 (2002) 675-687
3. Deiber J.A., Peirotti M.B., Bortolozzi R.A., and Durelli R.J. Flow of Newtonian fluids though sinusoidally constricted tubes. Numerical and experimental results. Chemical Engineering Communications 117 (1992) 241-262
4. Deiber J.A., and Schowalter W.R. Flow though tubes with sinusoidal axial variations in diameter. AIChE Journal 25 (1979) 638-644
5. Deiber J.A., and Schowalter W.R. Modeling the flow of viscoelastic fluids through porous media. AIChE Journal 27 (1981) 912-920
6. Dupuis A., and Chopard B. Theory and applications of an alternative lattice Boltzmann grid refinement algorithm. Physical Review E 67 (2003) Article No: 066707
7. Forrester J.H., and Young D.F. Flow through a converging-diverging tube and its implications in occlusive vascular disease. Journal of Biomechanics 3 (1970) 297-316
8. Holmes D.B., and Vermeulen J.R. Velocity profiles in ducts with rectangular cross sections. Chemical Engineering Science 23 (1967) 717-722
9. Lahbabi A.M., and Chang H.C. Flow in periodically constricted tubes: transition to inertial and nonsteady flows. Chemical Engineering Science 41 (1986) 2487-2505
10. Llewellin, E.W., 2009. LBflow: An extensible lattice Boltzmann framework for the simulation of geophysical flows. Part I: theory and implementation. Computers and Geosciences (2009), doi:10.1016/j.cageo.2009.08.004
11. Pan C., Luo L.-Sh., and Miller C.T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Computers and Fluids 35 (2006) 898-909
12. Payatakes A.C., Tien C., and Turian R.M. A new model for granular porous media: parts 1 and 2. AIChE Journal 19 (1973) 58-76
13. Ralph M.E. Steady flow structures and pressure drops in wavy-walled tubes. Journal of Fluids Engineering 109 (1987) 255-261
14. Sangani A.S., and Acrivos A. Slow flow through a periodic array of spheres. International Journal of Multiphase Flow 8 (1982) 343-360
15. Shah R.K., and London A.L. Laminar flow forced convection in ducts. In: Irvine Jr. T.F., and Hartnett J.P. (Eds). Supplement 1 to the Series: Advances in Heat Transfer (1978), Academic Press, New York
16. Sisavath, S., Jing, X., Zimmerman, R.W., 2001a. Laminar flow through irregularly-shaped pores in sedimentary rocks. Transport in Porous Media 45, 41-62
17. Sisavath, S., Jing, X., Zimmerman, R.W., 2001b. Creeping flow through a pipe of varying radius. Physics of Fluids 13, 2762-2772
18. Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (2001), Oxford University Press, Oxford ISBN: 0198503989, 288pp
19. Succi S., Foti E., and Higuera F. 3-dimensional flows in complex geometries with the lattice Boltzmann method. Europhysics Letters 10 (1989) 433-438
20. Sukop M.C., and Thorne D.T. Lattice Boltzmann Modelling: An Introduction for Geoscientists and Engineers (2006), Springer, Berlin ISBN: 3540279814, 172pp
21. Zou Q., and He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Physics of Fluids 9 (1997) 1591-1598