A mass conserving boundary condition for the lattice Boltzmann method for tangentially moving walls

Mathematics and Computers in Simulation

Volumn 81, Issue 12, 2011, Pages 2632-2645

  Coupanec, Erwan Le ^a   Verschaeve, Joris C G ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Mass conservation; Numerical accuracy; Numerical stability

Indexed keywords

COUETTE FLOWS; GRID-SPACINGS; LATTICE BOLTZMANN METHOD; LID-DRIVEN SQUARE CAVITY; MASS CONSERVATION; MASS CONSERVING BOUNDARY CONDITION; NO-SLIP BOUNDARY CONDITIONS; NUMERICAL ACCURACY; NUMERICAL INSTABILITY; NUMERICAL STABILITIES; POISEUILLE FLOW; RELAXATION FREQUENCY; SECOND ORDERS; TANGENTIAL MOVEMENT;

BOUNDARY CONDITIONS;

EID: 79960562066     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2011.05.004     Document Type: Article

References (14)

1. B. Chopard, and A. Dupuis A mass conserving boundary condition for lattice Boltzmann models International Journal of Modern Physics B 17 2003 103 107
2. U. Ghia, K.N. Ghia, and C.T. Shin High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method Journal of Computational Physics 48 3 1982 387 411
3. I. Halliday, L.A. Hammond, and C.M. Care Enhanced closure scheme for lattice Boltzmann equation hydrodynamics Journal of Physics A 35 2002 157 166
4. D. Hänel Einführung in die kinetische Theorie der Gase und Lattice-Boltzmann-Methoden 2004 Springer-Verlag Berlin
5. M.T. Heath Scientific Computing: An Introductory Survey 2002 McGraw-Hill New York
6. T. Inamuro, M. Yoshino, and F. Ogino A non-slip boundary condition for lattice Boltzmann simulations Physics of Fluids 7 12 1995 2928 2930
7. J. Lätt, Hydrodynamic limit of lattice Boltzmann equations, PhD thesis, Université de Genve, 2007.
8. J. Lätt, B. Chopard, O. Malaspinas, M. Deville, and A. Michler Straight velocity boundaries in the lattice Boltzmann method Physical Review E 77 5 2008 056703
9. I.L. Ryhming, Dynamique des fluides, Presses polytechniques et universitaires romandes, deuxime edition, 2004.
10. P.A. Skordos Initial and boundary conditions for the lattice Boltzmann method Physical Review E 48 6 1993 4823 4842
11. S. Succi The Lattice Boltzmann Equation for Fluid Dynamics and Beyond 2001 Oxford Science Publications
12. J.C.G. Verschaeve Analysis of the lattice Boltzmann Bhatnagar-Gross-Krook no-slip boundary condition: ways to improve accuracy and stability Physical Review E 80 3 2009 036703
13. D.A. Wolf-Gladrow Lattice-Gas Cellular Automata and Lattice Boltzmann Models 2000 Springer
14. Q. Zou, and X. He On pressure and velocity boundary conditions for the lattice Boltzmann BGK model Physics of Fluids 9 6 1997 1591 1598