메뉴 건너뛰기




Volumn 229, Issue 7, 2010, Pages 2497-2506

Momentum transfer correction for macroscopic-gradient boundary conditions in lattice Boltzmann methods

Author keywords

Computational fluid dynamics; Lattice Boltzmann; Momentum boundary conditions; Neumann boundary condition; Robin boundary condition; Walls

Indexed keywords

CIRCULAR CYLINDERS; COMPUTATIONAL FLUID DYNAMICS; ECONOMIC AND SOCIAL EFFECTS; FINITE DIFFERENCE METHOD; KINETIC THEORY; MOMENTUM; MOMENTUM TRANSFER;

EID: 74449085910     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.11.036     Document Type: Article
Times cited : (11)

References (54)
  • 1
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., and Doolen G. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329-364
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.2
  • 2
    • 0003489627 scopus 로고    scopus 로고
    • Lattice-gas cellular automata and lattice boltzmann models. An introduction
    • Springer
    • Wolf-Gladrow D.A. Lattice-gas cellular automata and lattice boltzmann models. An introduction. Lecture Notes in Mathematics vol. 1725 (2000), Springer
    • (2000) Lecture Notes in Mathematics , vol.1725
    • Wolf-Gladrow, D.A.1
  • 4
    • 0038359301 scopus 로고    scopus 로고
    • Viscous flow computations with the method of lattice Boltzmann equation
    • Yu D., Mei R., Luo L.-S., and Shyy W. Viscous flow computations with the method of lattice Boltzmann equation. Prog. Aerosp. Sci. 39 (2003) 329-367
    • (2003) Prog. Aerosp. Sci. , vol.39 , pp. 329-367
    • Yu, D.1    Mei, R.2    Luo, L.-S.3    Shyy, W.4
  • 5
    • 33750984258 scopus 로고    scopus 로고
    • Entropy and Galilean invariance of lattice Boltzmann theories
    • Chikatamarla S.S., and Karlin I.V. Entropy and Galilean invariance of lattice Boltzmann theories. Phys. Rev. Lett. 97 (2006) 190601
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 190601
    • Chikatamarla, S.S.1    Karlin, I.V.2
  • 6
    • 33646764572 scopus 로고    scopus 로고
    • An evaluation of lattice Boltzmann schemes for porous medium flow simulation
    • Pan C., Luo L.-S., and Miller C.T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Comput. Fluids 35 (2006) 898-909
    • (2006) Comput. Fluids , vol.35 , pp. 898-909
    • Pan, C.1    Luo, L.-S.2    Miller, C.T.3
  • 7
    • 26244452727 scopus 로고    scopus 로고
    • Application of the lattice Boltzmann model to simulated stenosis growth in a two-dimensional carotid artery
    • Boyd J., Buick J., Cosgrove J.A., and Stansell P. Application of the lattice Boltzmann model to simulated stenosis growth in a two-dimensional carotid artery. Phys. Med. Biol. 50 (2005) 4783-4796
    • (2005) Phys. Med. Biol. , vol.50 , pp. 4783-4796
    • Boyd, J.1    Buick, J.2    Cosgrove, J.A.3    Stansell, P.4
  • 8
    • 33646767462 scopus 로고    scopus 로고
    • Extension of a hybrid thermal LBE scheme for large-eddy-simulations of turbulent convective flows
    • van Treeck C., Rank E., Krafczyk M., Tölke J., and Nachtwey B. Extension of a hybrid thermal LBE scheme for large-eddy-simulations of turbulent convective flows. Comput. Fluids 35 (2006) 863-871
    • (2006) Comput. Fluids , vol.35 , pp. 863-871
    • van Treeck, C.1    Rank, E.2    Krafczyk, M.3    Tölke, J.4    Nachtwey, B.5
  • 9
    • 33646756551 scopus 로고    scopus 로고
    • Unsteady flow simulation of the Ahmed reference body using a lattice Boltzmann approach
    • Fares E. Unsteady flow simulation of the Ahmed reference body using a lattice Boltzmann approach. Comput. Fluids 35 (2006) 940-950
    • (2006) Comput. Fluids , vol.35 , pp. 940-950
    • Fares, E.1
  • 10
    • 0028460854 scopus 로고
    • Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Theoretical foundation
    • Ladd A.J.C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Theoretical foundation. J. Fluid Mech. 271 (1994) 311-339
    • (1994) J. Fluid Mech. , vol.271 , pp. 311-339
    • Ladd, A.J.C.1
  • 11
    • 0001133794 scopus 로고
    • Boundary flow condition analysis for the three-dimensional lattice Boltzmann model
    • Ginzbourg I., and Adler P. Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II France 4 (1994) 191-214
    • (1994) J. Phys. II France , vol.4 , pp. 191-214
    • Ginzbourg, I.1    Adler, P.2
  • 12
    • 0000479716 scopus 로고
    • Initial and boundary conditions for the lattice Boltzmann method
    • Skordos P.A. Initial and boundary conditions for the lattice Boltzmann method. Phys. Rev. E 48 (1993) 4823
    • (1993) Phys. Rev. E , vol.48 , pp. 4823
    • Skordos, P.A.1
  • 13
    • 21144470454 scopus 로고
    • Boundary conditions for Lattice Boltzmann simulations
    • Ziegler D.P. Boundary conditions for Lattice Boltzmann simulations. J. Stat. Phys. 71 (1993) 1171-1177
    • (1993) J. Stat. Phys. , vol.71 , pp. 1171-1177
    • Ziegler, D.P.1
  • 14
    • 0029138604 scopus 로고
    • A consistent hydrodynamic boundary condition for lattice Boltzmann simulations
    • Noble D.R., Chen S., Georgiadis J.G., and Buckius R. A consistent hydrodynamic boundary condition for lattice Boltzmann simulations. Phys. Fluids 7 (1995) 203
    • (1995) Phys. Fluids , vol.7 , pp. 203
    • Noble, D.R.1    Chen, S.2    Georgiadis, J.G.3    Buckius, R.4
  • 15
    • 0029676650 scopus 로고    scopus 로고
    • Boundary conditions for the lattice Boltzmann method
    • Maier R., Bernard R., and Grunau D. Boundary conditions for the lattice Boltzmann method. Phys. Fluids 8 (1996) 1788
    • (1996) Phys. Fluids , vol.8 , pp. 1788
    • Maier, R.1    Bernard, R.2    Grunau, D.3
  • 16
    • 2142825823 scopus 로고    scopus 로고
    • On pressure and velocity boundary conditions for the Lattice Boltzmann BGK model
    • Zou Q., and He X. On pressure and velocity boundary conditions for the Lattice Boltzmann BGK model. Phys. Fluids 9 (1997) 1591-1598
    • (1997) Phys. Fluids , vol.9 , pp. 1591-1598
    • Zou, Q.1    He, X.2
  • 17
    • 0039568430 scopus 로고    scopus 로고
    • Local second-order boundary method for lattice Boltzmann models
    • Ginzbourg I., and d'Humières D. Local second-order boundary method for lattice Boltzmann models. J. Stat. Phys. 84 (1996) 927-971
    • (1996) J. Stat. Phys. , vol.84 , pp. 927-971
    • Ginzbourg, I.1    d'Humières, D.2
  • 18
    • 0031215244 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulation of gas-particle flow in filters
    • Filippova O., and Hänel D. Lattice-Boltzmann simulation of gas-particle flow in filters. Comput. Fluids 26 7 (1997) 697-712
    • (1997) Comput. Fluids , vol.26 , Issue.7 , pp. 697-712
    • Filippova, O.1    Hänel, D.2
  • 19
    • 0000804409 scopus 로고    scopus 로고
    • An accurate curved boundary treatment in the lattice Boltzmann method
    • Mei R., Luo L.-S., and Shyy W. An accurate curved boundary treatment in the lattice Boltzmann method. J. Comput. Phys. 155 (1999) 307
    • (1999) J. Comput. Phys. , vol.155 , pp. 307
    • Mei, R.1    Luo, L.-S.2    Shyy, W.3
  • 20
    • 0035504923 scopus 로고    scopus 로고
    • Momentum transfer of a Boltzmann-lattice fluid with boundaries
    • Bouzidi M., Firdaouss M., and Lallemand P. Momentum transfer of a Boltzmann-lattice fluid with boundaries. Phys. Fluids 13 11 (2001) 3452-3459
    • (2001) Phys. Fluids , vol.13 , Issue.11 , pp. 3452-3459
    • Bouzidi, M.1    Firdaouss, M.2    Lallemand, P.3
  • 21
    • 1442354774 scopus 로고    scopus 로고
    • Multireflection boundary conditions for lattice Boltzmann models
    • Ginzburg I., and d'Humières D. Multireflection boundary conditions for lattice Boltzmann models. Phys. Rev. E 68 (2003) 066614
    • (2003) Phys. Rev. E , vol.68 , pp. 066614
    • Ginzburg, I.1    d'Humières, D.2
  • 22
    • 40549109949 scopus 로고    scopus 로고
    • Two-relaxation-time lattice Boltzmann scheme: about parametrization, velocity, pressure and mixed boundary conditions
    • Ginzburg I., Verhaeghe F., and d'Humières D. Two-relaxation-time lattice Boltzmann scheme: about parametrization, velocity, pressure and mixed boundary conditions. Commun. Comput. Phys. 3 2 (2008) 427-478
    • (2008) Commun. Comput. Phys. , vol.3 , Issue.2 , pp. 427-478
    • Ginzburg, I.1    Verhaeghe, F.2    d'Humières, D.3
  • 23
    • 0032251977 scopus 로고    scopus 로고
    • Realization of fluid boundary conditions via discrete Boltzmann dynamics
    • Chen H., Teixeira C., and Molving K. Realization of fluid boundary conditions via discrete Boltzmann dynamics. Int. J. Mod. Phys. C 9 (1998) 1281-1292
    • (1998) Int. J. Mod. Phys. C , vol.9 , pp. 1281-1292
    • Chen, H.1    Teixeira, C.2    Molving, K.3
  • 24
    • 37649029356 scopus 로고    scopus 로고
    • Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: theory and simulations
    • Rohde M., Kandhai D., Derksen J.J., and Van den Akker H.E.A. Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: theory and simulations. Phys. Rev. E 67 (2003) 066703
    • (2003) Phys. Rev. E , vol.67 , pp. 066703
    • Rohde, M.1    Kandhai, D.2    Derksen, J.J.3    Van den Akker, H.E.A.4
  • 25
    • 0000083732 scopus 로고    scopus 로고
    • Lattice-Boltzmann model with sub-grid-scale boundary conditions
    • Verberg R., and Ladd A.J.C. Lattice-Boltzmann model with sub-grid-scale boundary conditions. Phys. Rev. Lett. 84 (2000) 2148-2151
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2148-2151
    • Verberg, R.1    Ladd, A.J.C.2
  • 26
    • 0030476055 scopus 로고    scopus 로고
    • On boundary conditions in lattice Boltzmann methods
    • Chen S., Martínez D., and Mei R. On boundary conditions in lattice Boltzmann methods. Phys. Fluids 8 (1996) 2527
    • (1996) Phys. Fluids , vol.8 , pp. 2527
    • Chen, S.1    Martínez, D.2    Mei, R.3
  • 27
    • 0036611898 scopus 로고    scopus 로고
    • An extrapolation method for boundary conditions in lattice Boltzmann method
    • Guo Z., Zheng C., and Shi B. An extrapolation method for boundary conditions in lattice Boltzmann method. Phys. Fluids 14 6 (2002) 2007-2010
    • (2002) Phys. Fluids , vol.14 , Issue.6 , pp. 2007-2010
    • Guo, Z.1    Zheng, C.2    Shi, B.3
  • 28
    • 28844477569 scopus 로고    scopus 로고
    • One-point boundary condition for the lattice Boltzmann method
    • Junk M., and Yang Z. One-point boundary condition for the lattice Boltzmann method. Phys. Rev. E 72 (2005) 066701
    • (2005) Phys. Rev. E , vol.72 , pp. 066701
    • Junk, M.1    Yang, Z.2
  • 29
    • 34547372280 scopus 로고    scopus 로고
    • Interpolated boundary condition for lattice Boltzmann simulations of flows in narrow gaps
    • Chun B., and Ladd A.J.C. Interpolated boundary condition for lattice Boltzmann simulations of flows in narrow gaps. Phys. Rev. E 75 (2007) 066705
    • (2007) Phys. Rev. E , vol.75 , pp. 066705
    • Chun, B.1    Ladd, A.J.C.2
  • 30
    • 34548690109 scopus 로고    scopus 로고
    • A novel immersed boundary velocity correction-lattice Boltzmann method and its application to simulate flow past a circular cylinder
    • Shu C., Liu N., and Chew Y. A novel immersed boundary velocity correction-lattice Boltzmann method and its application to simulate flow past a circular cylinder. J. Comput. Phys. 226 (2007) 1607-1622
    • (2007) J. Comput. Phys. , vol.226 , pp. 1607-1622
    • Shu, C.1    Liu, N.2    Chew, Y.3
  • 31
    • 27144465969 scopus 로고    scopus 로고
    • Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
    • Sbragaglia M., and Succi S. Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. Phys. Fluids 17 (2005) 093602
    • (2005) Phys. Fluids , vol.17 , pp. 093602
    • Sbragaglia, M.1    Succi, S.2
  • 32
    • 33745619236 scopus 로고    scopus 로고
    • Slip-flow boundary condition for straight walls in the lattice Boltzmann model
    • Szalmás L. Slip-flow boundary condition for straight walls in the lattice Boltzmann model. Phys. Rev. E 73 (2006) 066710
    • (2006) Phys. Rev. E , vol.73 , pp. 066710
    • Szalmás, L.1
  • 33
    • 55549133585 scopus 로고    scopus 로고
    • Lattice Boltzmann modeling of microchannel flow in slip flow regime
    • Verhaeghe F., Luo L.-S., and Blanpain B. Lattice Boltzmann modeling of microchannel flow in slip flow regime. J. Comput. Phys. 228 1 (2009) 147-157
    • (2009) J. Comput. Phys. , vol.228 , Issue.1 , pp. 147-157
    • Verhaeghe, F.1    Luo, L.-S.2    Blanpain, B.3
  • 34
    • 33344460258 scopus 로고    scopus 로고
    • Lattice-Boltzmann method for simulating spherical bubbles with no tangential stress boundary conditions
    • Yin X., Koch D.L., and Verberg R. Lattice-Boltzmann method for simulating spherical bubbles with no tangential stress boundary conditions. Phys. Rev. E 73 (2006) 026301
    • (2006) Phys. Rev. E , vol.73 , pp. 026301
    • Yin, X.1    Koch, D.L.2    Verberg, R.3
  • 35
    • 0000072519 scopus 로고
    • Flow in the driven cavity calculated by the lattice Boltzmann method
    • Miller W. Flow in the driven cavity calculated by the lattice Boltzmann method. Phys. Rev. E 51 (1995) 3659-3669
    • (1995) Phys. Rev. E , vol.51 , pp. 3659-3669
    • Miller, W.1
  • 36
    • 41349084147 scopus 로고    scopus 로고
    • Kinetic boundary conditions in the lattice Boltzmann method
    • Ansumali S., and Karlin I.V. Kinetic boundary conditions in the lattice Boltzmann method. Phys. Rev. E 66 2 (2002) 026311
    • (2002) Phys. Rev. E , vol.66 , Issue.2 , pp. 026311
    • Ansumali, S.1    Karlin, I.V.2
  • 37
    • 0001681816 scopus 로고
    • Generalized lattice-Boltzmann equations, AIAA rarefied gas dynamics: theory and simulations
    • d'Humières D. Generalized lattice-Boltzmann equations, AIAA rarefied gas dynamics: theory and simulations. Prog. Astronaut. Aeronaut. 59 (1992) 450-548
    • (1992) Prog. Astronaut. Aeronaut. , vol.59 , pp. 450-548
    • d'Humières, D.1
  • 38
    • 85189836801 scopus 로고    scopus 로고
    • Discrete lattice effects on the forcing term in the lattice Boltzmann method
    • Guo Z., Zheng C., and Shi B. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Phys. Rev. E 65 (2003) 066308
    • (2003) Phys. Rev. E , vol.65 , pp. 066308
    • Guo, Z.1    Zheng, C.2    Shi, B.3
  • 39
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability
    • Lallemand P., and Luo L.-S. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61 (2000) 6546-6562
    • (2000) Phys. Rev. E , vol.61 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.-S.2
  • 40
    • 26844449866 scopus 로고    scopus 로고
    • Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equations
    • Ginzburg I. Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equations. Adv. Water Resour. 28 (2005) 1171-1195
    • (2005) Adv. Water Resour. , vol.28 , pp. 1171-1195
    • Ginzburg, I.1
  • 41
    • 26844552866 scopus 로고    scopus 로고
    • Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic-dispersion equations
    • Ginzburg I. Generic boundary conditions for lattice Boltzmann models and their application to advection and anisotropic-dispersion equations. Adv. Water Resour. 28 (2005) 1196-1216
    • (2005) Adv. Water Resour. , vol.28 , pp. 1196-1216
    • Ginzburg, I.1
  • 42
    • 33646946487 scopus 로고    scopus 로고
    • Variably saturated flow described with the anisotropic lattice Boltzmann methods
    • Ginzburg I. Variably saturated flow described with the anisotropic lattice Boltzmann methods. J. Comput. Fluids 25 (2006) 831-848
    • (2006) J. Comput. Fluids , vol.25 , pp. 831-848
    • Ginzburg, I.1
  • 43
    • 33846560360 scopus 로고    scopus 로고
    • Lattice Boltzmann modeling with discontinuous collision components. Hydrodynamic and advection-diffusion equations
    • Ginzburg I. Lattice Boltzmann modeling with discontinuous collision components. Hydrodynamic and advection-diffusion equations. J. Stat. Phys. 126 (2007) 157-203
    • (2007) J. Stat. Phys. , vol.126 , pp. 157-203
    • Ginzburg, I.1
  • 44
    • 41749110917 scopus 로고    scopus 로고
    • Study of simple hydrodynamic solutions with the two-relaxation-times lattice Boltzmann scheme
    • Ginzburg I., Verhaeghe F., and d'Humières D. Study of simple hydrodynamic solutions with the two-relaxation-times lattice Boltzmann scheme. Commun. Comput. Phys. 3 (2008) 519-581
    • (2008) Commun. Comput. Phys. , vol.3 , pp. 519-581
    • Ginzburg, I.1    Verhaeghe, F.2    d'Humières, D.3
  • 45
    • 12044252810 scopus 로고
    • Incompressible fluid dynamics: some fundamental formulation issues
    • Gresho P.M. Incompressible fluid dynamics: some fundamental formulation issues. Ann. Rev. Fluid Mech. 23 (1991) 413-453
    • (1991) Ann. Rev. Fluid Mech. , vol.23 , pp. 413-453
    • Gresho, P.M.1
  • 46
    • 0142210898 scopus 로고    scopus 로고
    • RANS solvers with adaptive structured boundary non-conforming grids
    • Center for Turbulence Research
    • S. Majumdar, G. Iaccarino, P. Durbin, RANS solvers with adaptive structured boundary non-conforming grids, Annual Research Briefs, Center for Turbulence Research, 2001, pp. 353-366.
    • (2001) Annual Research Briefs , pp. 353-366
    • Majumdar, S.1    Iaccarino, G.2    Durbin, P.3
  • 47
    • 14644442504 scopus 로고    scopus 로고
    • Toward immerse boundary simulation of high Reynolds number flows
    • Center for Turbulent Research
    • G. Kalitzin, G. Iaccarino, Toward immerse boundary simulation of high Reynolds number flows, Annual Research Briefs, Center for Turbulent Research, 2003, pp. 369-378.
    • (2003) Annual Research Briefs , pp. 369-378
    • Kalitzin, G.1    Iaccarino, G.2
  • 48
    • 0036435442 scopus 로고    scopus 로고
    • Wall-layer models for large-eddy simulations
    • Piomelli U., and Balaras E. Wall-layer models for large-eddy simulations. Ann. Rev. Fluid Mech. 34 (2002) 349
    • (2002) Ann. Rev. Fluid Mech. , vol.34 , pp. 349
    • Piomelli, U.1    Balaras, E.2
  • 49
    • 33645943380 scopus 로고    scopus 로고
    • Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flow
    • Guo Z., Zhao T.S., and Shi Y. Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flow. J. Appl. Phys. 99 (2006) 074903
    • (2006) J. Appl. Phys. , vol.99 , pp. 074903
    • Guo, Z.1    Zhao, T.S.2    Shi, Y.3
  • 53
    • 55849112986 scopus 로고    scopus 로고
    • Characteristic nonreflecting boundary conditions for open boundaries in lattice Boltzmann methods
    • Izquierdo S., and Fueyo N. Characteristic nonreflecting boundary conditions for open boundaries in lattice Boltzmann methods. Phys. Rev. E 78 (2008) 046707
    • (2008) Phys. Rev. E , vol.78 , pp. 046707
    • Izquierdo, S.1    Fueyo, N.2
  • 54
    • 23844537591 scopus 로고    scopus 로고
    • Asymptotic analysis of the lattice Boltzmann equation
    • Junk M., Klar A., and Luo L.-S. Asymptotic analysis of the lattice Boltzmann equation. J. Comput. Phys. 210 (2005) 676-704
    • (2005) J. Comput. Phys. , vol.210 , pp. 676-704
    • Junk, M.1    Klar, A.2    Luo, L.-S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.