메뉴 건너뛰기




Volumn 43, Issue 6, 2004, Pages 575-586

Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition

Author keywords

Dirichlet Neumann thermal boundary conditions; Doubled populations BGK; Enclosures; Lattice Boltzmann thermal model; Natural convection

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ENCLOSURES; EQUATIONS OF MOTION; HEAT FLUX; HYDRODYNAMICS; INCOMPRESSIBLE FLOW; MULTIPHASE FLOW; PARALLEL ALGORITHMS; POISSON EQUATION; PROBABILITY; THERMAL INSULATION;

EID: 2442585529     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2003.11.002     Document Type: Article
Times cited : (180)

References (39)
  • 1
    • 84956073211 scopus 로고
    • Lattice gas-dynamics with enhanced collisions
    • Higuera J., Succi S., Benzi R. Lattice gas-dynamics with enhanced collisions. Europhys. Lett. 9:(4):1989;345-349.
    • (1989) Europhys. Lett. , vol.9 , Issue.4 , pp. 345-349
    • Higuera, J.1    Succi, S.2    Benzi, R.3
  • 2
    • 13844320326 scopus 로고
    • The lattice Boltzmann equation: Theory and applications
    • Benzi R., Succi S., Vergassola M. The lattice Boltzmann equation: theory and applications. Phys. Reports. 222:(3):1992;145-197.
    • (1992) Phys. Reports , vol.222 , Issue.3 , pp. 145-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 3
    • 0000867045 scopus 로고
    • Lattice Boltzmann thermohydrodynamics
    • Alexander F., Chen S., Sterling J. Lattice Boltzmann thermohydrodynamics. Phys. Rev. E. 47:(4):1993;2249-2252.
    • (1993) Phys. Rev. E , vol.47 , Issue.4 , pp. 2249-2252
    • Alexander, F.1    Chen, S.2    Sterling, J.3
  • 4
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., Doolen G. Lattice Boltzmann method for fluid flows. Annual Rev. Fluid Mech. 30:1998;329-364.
    • (1998) Annual Rev. Fluid Mech. , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.2
  • 6
    • 0141450124 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulations of fluid flows in MEMS
    • Nie X., Doolen G., Chen S. Lattice-Boltzmann simulations of fluid flows in MEMS. J. Statist. Phys. 107:(1):2002;279-289.
    • (2002) J. Statist. Phys. , vol.107 , Issue.1 , pp. 279-289
    • Nie, X.1    Doolen, G.2    Chen, S.3
  • 7
    • 0036639879 scopus 로고    scopus 로고
    • Application of lattice Boltzmann method to simulate microchannel flows
    • Lim C., Shu C., Niu X., Chew Y. Application of lattice Boltzmann method to simulate microchannel flows. Phys. Fluids. 14:(7):2002;2299-2308.
    • (2002) Phys. Fluids , vol.14 , Issue.7 , pp. 2299-2308
    • Lim, C.1    Shu, C.2    Niu, X.3    Chew, Y.4
  • 8
    • 35248816844 scopus 로고    scopus 로고
    • Lattice Boltzmann method to study hydrodynamic properties of 2D fractal aggregates
    • P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, & Y. Gorbachev. Berlin: Springer
    • Nguyen H., Chopard B., Stoll S. Lattice Boltzmann method to study hydrodynamic properties of 2D fractal aggregates. Sloot P., Abramson D., Bogdanov A., Dongarra J., Zomaya A., Gorbachev Y. Proceedings of International Conference of Computational Science, ICCS 2003. 2003;947-956 Springer, Berlin.
    • (2003) Proceedings of International Conference of Computational Science, ICCS 2003 , pp. 947-956
    • Nguyen, H.1    Chopard, B.2    Stoll, S.3
  • 9
    • 2542418336 scopus 로고    scopus 로고
    • Lattice BGK simulations of unsteady flow in a 2D elastic tube
    • P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, & Y. Gorbachev. Berlin: Springer
    • Hoekstra A., van't Hoff J., Artoli A., Sloot P. Lattice BGK simulations of unsteady flow in a 2D elastic tube. Sloot P., Abramson D., Bogdanov A., Dongarra J., Zomaya A., Gorbachev Y. Proceedings of International Conference of Computational Science, ICCS 2003. 2003;997-1006 Springer, Berlin.
    • (2003) Proceedings of International Conference of Computational Science, ICCS 2003 , pp. 997-1006
    • Hoekstra, A.1    Van't Hoff, J.2    Artoli, A.3    Sloot, P.4
  • 10
    • 35248886094 scopus 로고    scopus 로고
    • A three-parameter non-linear lattice-Boltzmann model for ideal miscible fluids
    • P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, & Y. Gorbachev. Berlin: Springer
    • Facin P., Philippi P., dos Santos L. A three-parameter non-linear lattice-Boltzmann model for ideal miscible fluids. Sloot P., Abramson D., Bogdanov A., Dongarra J., Zomaya A., Gorbachev Y. Proceedings of International Conference of Computational Science, ICCS 2003. 2003;1007-1014 Springer, Berlin.
    • (2003) Proceedings of International Conference of Computational Science, ICCS 2003 , pp. 1007-1014
    • Facin, P.1    Philippi, P.2    Dos Santos, L.3
  • 11
    • 21144439997 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of bubble flows
    • P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, & Y. Gorbachev. Berlin: Springer
    • Inamuro T., Ogata T., Ogino F. Lattice Boltzmann simulation of bubble flows. Sloot P., Abramson D., Bogdanov A., Dongarra J., Zomaya A., Gorbachev Y. Proceedings of International Conference of Computational Science, ICCS 2003. 2003;1015-1023 Springer, Berlin.
    • (2003) Proceedings of International Conference of Computational Science, ICCS 2003 , pp. 1015-1023
    • Inamuro, T.1    Ogata, T.2    Ogino, F.3
  • 12
    • 35248821097 scopus 로고    scopus 로고
    • Droplet spreading on heterogeneous surfaces using a three-dimensional Lattice Boltzmann model
    • P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, & Y. Gorbachev. Berlin: Springer
    • Dupuis A., Briant A., Pooley C., Yeomans J. Droplet spreading on heterogeneous surfaces using a three-dimensional lattice Boltzmann model. Sloot P., Abramson D., Bogdanov A., Dongarra J., Zomaya A., Gorbachev Y. Proceedings of International Conference of Computational Science, ICCS 2003. 2003;1024-1033 Springer, Berlin.
    • (2003) Proceedings of International Conference of Computational Science, ICCS 2003 , pp. 1024-1033
    • Dupuis, A.1    Briant, A.2    Pooley, C.3    Yeomans, J.4
  • 13
    • 0000213068 scopus 로고
    • Thermal lattice Bhatnagar-Gross-Krook model without non-linear deviations in macrodynamic equations
    • Chen Y., Ohashi H., Akiyama M. Thermal lattice Bhatnagar-Gross-Krook model without non-linear deviations in macrodynamic equations. Phys. Rev. E. 50:1994;2776-2783.
    • (1994) Phys. Rev. E , vol.50 , pp. 2776-2783
    • Chen, Y.1    Ohashi, H.2    Akiyama, M.3
  • 14
    • 0029478307 scopus 로고
    • Prandtl number of Lattice Bhatnagar-Gross-Krook fluid
    • Chen Y., Ohashi H., Akiyama M. Prandtl number of lattice Bhatnagar-Gross-Krook fluid. Phys. Fluids. 7:1995;2280-2282.
    • (1995) Phys. Fluids , vol.7 , pp. 2280-2282
    • Chen, Y.1    Ohashi, H.2    Akiyama, M.3
  • 15
    • 18844382631 scopus 로고
    • Stabilization of thermal lattice Boltzmann models
    • Mc Namara G., Garcia A., Alder B. Stabilization of thermal lattice Boltzmann models. J. Statist. Phys. 81:(1/2):1995;395-408.
    • (1995) J. Statist. Phys. , vol.81 , Issue.1-2 , pp. 395-408
    • Mc Namara, G.1    Garcia, A.2    Alder, B.3
  • 16
    • 21844510357 scopus 로고
    • H-theorem and generalized semi-detailed balance condition for lattice gas system
    • Chen H. H-theorem and generalized semi-detailed balance condition for lattice gas system. J. Statist. Phys. 81:(1/2):1995;347-360.
    • (1995) J. Statist. Phys. , vol.81 , Issue.1-2 , pp. 347-360
    • Chen, H.1
  • 18
    • 0033546458 scopus 로고    scopus 로고
    • Perfect entropy functions of the lattice Boltzmann method
    • Karlin I.V., Ferrante A., Öttinger H.C. Perfect entropy functions of the lattice Boltzmann method. Europhys. Lett. 47:1999;182-188.
    • (1999) Europhys. Lett. , vol.47 , pp. 182-188
    • Karlin, I.V.1    Ferrante, A.2    Öttinger, H.C.3
  • 19
    • 0034227260 scopus 로고    scopus 로고
    • Some recent results on discrete velocity models and ramifications for lattice Boltzmann equation
    • Luo L.S. Some recent results on discrete velocity models and ramifications for lattice Boltzmann equation. Comput. Phys. Comm. 129:(1/3):1999;63-74.
    • (1999) Comput. Phys. Comm. , vol.129 , Issue.1-3 , pp. 63-74
    • Luo, L.S.1
  • 20
    • 0036822246 scopus 로고    scopus 로고
    • Colloquium: Role of the H theorem in Lattice Boltzmann hydrodynamic simulations
    • Succi S., Karlin I., Chen H. Colloquium: Role of the H theorem in Lattice Boltzmann hydrodynamic simulations. Rev. Mod. Phys. 74:(4):2002;1203-1220.
    • (2002) Rev. Mod. Phys. , vol.74 , Issue.4 , pp. 1203-1220
    • Succi, S.1    Karlin, I.2    Chen, H.3
  • 21
    • 0037455611 scopus 로고    scopus 로고
    • Hybrid finite-difference thermal lattice Boltzmann equation
    • Lallemand P., Luo L.S. Hybrid finite-difference thermal lattice Boltzmann equation. Internat. J. Modern Phys. B. 17:(1/2):2003;41-47.
    • (2003) Internat. J. Modern Phys. B , vol.17 , Issue.1-2 , pp. 41-47
    • Lallemand, P.1    Luo, L.S.2
  • 22
    • 0000148702 scopus 로고    scopus 로고
    • A novel thermal model for the lattice Boltzmann method in incompressible limit
    • He X., Chen S., Doolen G. A novel thermal model for the lattice Boltzmann method in incompressible limit. J. Comput. Phys. 146:1998;282-300.
    • (1998) J. Comput. Phys. , vol.146 , pp. 282-300
    • He, X.1    Chen, S.2    Doolen, G.3
  • 23
    • 33750221980 scopus 로고    scopus 로고
    • Boundary conditions for thermal lattice Boltzmann simulations
    • P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, & Y. Gorbachev. Berlin: Springer
    • D'Orazio A., Succi S. Boundary conditions for thermal lattice Boltzmann simulations. Sloot P., Abramson D., Bogdanov A., Dongarra J., Zomaya A., Gorbachev Y. Proceedings of International Conference of Computational Science, ICCS 2003. 2003;1024-1033 Springer, Berlin.
    • (2003) Proceedings of International Conference of Computational Science, ICCS 2003 , pp. 1024-1033
    • D'orazio, A.1    Succi, S.2
  • 24
    • 0141426574 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of open flows with heat transfer
    • D'Orazio A., Succi S., Arrighetti A. Lattice Boltzmann simulation of open flows with heat transfer. Phys. Fluids. 15:(9):2003;2778-2781.
    • (2003) Phys. Fluids , vol.15 , Issue.9 , pp. 2778-2781
    • D'orazio, A.1    Succi, S.2    Arrighetti, A.3
  • 25
    • 2442573884 scopus 로고
    • Transition to time-periodicity of a natural convection flow in a 3D differentially heated cavity
    • Janssen A., Henkes M., Hoogendorn J. Transition to time-periodicity of a natural convection flow in a 3D differentially heated cavity. Internat. J. Heat Mass Transfer. 30:1987;1645-1654.
    • (1987) Internat. J. Heat Mass Transfer , vol.30 , pp. 1645-1654
    • Janssen, A.1    Henkes, M.2    Hoogendorn, J.3
  • 26
    • 0029513775 scopus 로고
    • Direct numerical simulations of two-dimensional chaotic natural convection in a differentially heated cavity of aspect ratio 4
    • Xin S., Le Quere P. Direct numerical simulations of two-dimensional chaotic natural convection in a differentially heated cavity of aspect ratio 4. J. Fluid Mech. 304:1995;87-118.
    • (1995) J. Fluid Mech. , vol.304 , pp. 87-118
    • Xin, S.1    Le Quere, P.2
  • 27
    • 0345035219 scopus 로고    scopus 로고
    • A direct numerical simulation of natural convection between two infinite vertical differentially heated walls - Scaling laws and wall functions
    • Versteegh M., Nieuwstadt M. A direct numerical simulation of natural convection between two infinite vertical differentially heated walls - scaling laws and wall functions. Internat. J. Heat Mass Transfer. 42:1999;3673-3693.
    • (1999) Internat. J. Heat Mass Transfer , vol.42 , pp. 3673-3693
    • Versteegh, M.1    Nieuwstadt, M.2
  • 28
    • 0035826954 scopus 로고    scopus 로고
    • Computational study of turbulent natural convection in a side-heated near-cubic enclosures at high Rayleigh number
    • Dol S., Hanjalic K. Computational study of turbulent natural convection in a side-heated near-cubic enclosures at high Rayleigh number. Internat. J. Heat Mass Transfer. 44:2001;2323-2344.
    • (2001) Internat. J. Heat Mass Transfer , vol.44 , pp. 2323-2344
    • Dol, S.1    Hanjalic, K.2
  • 29
    • 0141460691 scopus 로고    scopus 로고
    • Convection in a horizontal rectangular duct under constant and variable property formulations
    • Wang Q., Yoo H., Jaluria Y. Convection in a horizontal rectangular duct under constant and variable property formulations. Internat. J. Heat Mass Transfer. 46:2003;297-310.
    • (2003) Internat. J. Heat Mass Transfer , vol.46 , pp. 297-310
    • Wang, Q.1    Yoo, H.2    Jaluria, Y.3
  • 30
    • 0037314850 scopus 로고    scopus 로고
    • Effects of the thermal boundary conditions at the sidewalls upon natural convection in rectangular enclosures heated from below and cooled from above
    • Corcione M. Effects of the thermal boundary conditions at the sidewalls upon natural convection in rectangular enclosures heated from below and cooled from above. Internat. J. Thermal Sci. 42:(2):2003;199-208.
    • (2003) Internat. J. Thermal Sci. , vol.42 , Issue.2 , pp. 199-208
    • Corcione, M.1
  • 31
    • 84956111432 scopus 로고
    • Lattice BGK models for Navier-Stokes equation
    • Qian Y., d'Humiéres D., Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17:(6):1992;479-484.
    • (1992) Europhys. Lett. , vol.17 , Issue.6 , pp. 479-484
    • Qian, Y.1    D'humiéres, D.2    Lallemand, P.3
  • 32
    • 0001207344 scopus 로고    scopus 로고
    • A priori derivation of the lattice Boltzmann equation
    • He X., Luo L. A priori derivation of the lattice Boltzmann equation. Phys. Rev. E. 55:(6):1997;6333-6336.
    • (1997) Phys. Rev. E , vol.55 , Issue.6 , pp. 6333-6336
    • He, X.1    Luo, L.2
  • 33
    • 0025456235 scopus 로고
    • Finite volume multigrid prediction of laminar natural convection: Bench-mark solutions
    • Hortmann M., Perić M., Scheuerer G. Finite volume multigrid prediction of laminar natural convection: bench-mark solutions. Internat. J. Numer. Methods Fluids. 11:1990;189-207.
    • (1990) Internat. J. Numer. Methods Fluids , vol.11 , pp. 189-207
    • Hortmann, M.1    Perić, M.2    Scheuerer, G.3
  • 34
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: A bench mark numerical solution
    • De Vahl Davis G. Natural convection of air in a square cavity: a bench mark numerical solution. Internat. J. Numer. Methods Fluids. 3:1983;249-264.
    • (1983) Internat. J. Numer. Methods Fluids , vol.3 , pp. 249-264
    • De Vahl Davis, G.1
  • 35
    • 0028410786 scopus 로고
    • Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions
    • Barakos G., Mitsoulis E., Assimacopoulos D. Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions. Internat. J. Numer. Methods Fluids. 18:1994;695-719.
    • (1994) Internat. J. Numer. Methods Fluids , vol.18 , pp. 695-719
    • Barakos, G.1    Mitsoulis, E.2    Assimacopoulos, D.3
  • 36
    • 2142825823 scopus 로고    scopus 로고
    • On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
    • Zou Q., He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys. Fluids. 9:(6):1997;1591-1598.
    • (1997) Phys. Fluids , vol.9 , Issue.6 , pp. 1591-1598
    • Zou, Q.1    He, X.2
  • 37
    • 0001481167 scopus 로고
    • A non-slip boundary condition for lattice Boltzmann simulations
    • Inamuro T., Yoshino M., Ogino F. A non-slip boundary condition for lattice Boltzmann simulations. Phys. Fluids. 7:(12):1995;2928-2930.
    • (1995) Phys. Fluids , vol.7 , Issue.12 , pp. 2928-2930
    • Inamuro, T.1    Yoshino, M.2    Ogino, F.3
  • 38
    • 0031116098 scopus 로고    scopus 로고
    • Analytic solutions and analysis on non-slip boundary condition for the lattice Boltzmann BGK model
    • He X., Zou Q., Luo L.S., Dembo M. Analytic solutions and analysis on non-slip boundary condition for the lattice Boltzmann BGK model. J. Statist. Phys. 87:(1/2):1997;115-136.
    • (1997) J. Statist. Phys. , vol.87 , Issue.1-2 , pp. 115-136
    • He, X.1    Zou, Q.2    Luo, L.S.3    Dembo, M.4
  • 39
    • 0021370982 scopus 로고
    • The boundary layer natural convection regime in a rectangular cavity with uniform heat flux from the side
    • Kimura S., Béjan A. The boundary layer natural convection regime in a rectangular cavity with uniform heat flux from the side. ASME J. Heat Transfer. 106:1984;98-103.
    • (1984) ASME J. Heat Transfer , vol.106 , pp. 98-103
    • Kimura, S.1    Béjan, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.