메뉴 건너뛰기




Volumn 8, Issue 9, 2009, Pages 561-571

A three-dimension double-population thermal lattice BGK model for simulation of natural convection heat transfer in a cubic cavity

Author keywords

BGK collision; Distribution function; Double population; Lattice Boltzmann; Natural convection

Indexed keywords

CUBIC CAVITIES; DOUBLE POPULATION; LATTICE BOLTZMANN; NATURAL CONVECTION HEAT TRANSFER; NUMERICAL STABILITIES; RAYLEIGH NUMBER; TEMPERATURE FIELD; THERMAL FLUIDS; THERMAL LATTICES; VELOCITY FIELD;

EID: 70450193149     PISSN: 11092769     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (34)
  • 2
    • 1542471855 scopus 로고    scopus 로고
    • Lattice boltzmann method for fluid flows
    • S. Chen and G. Doolen, Lattice Boltzmann Method for Fluid Flows, Annual Review of Fluid Mechanics, Vol.30, No.1, 1998, pp. 329-364.
    • (1998) Annual Review of Fluid Mechanics , vol.30 , Issue.1 , pp. 329-364
    • Chen, S.1    Doolen, G.2
  • 3
    • 33646074731 scopus 로고    scopus 로고
    • Lattice kinetic simulations in three-dimensional magnetohydrodynamics
    • G. Breyiannis and D. Valougeorgis, Lattice Kinetic Simulations in Three-Dimensional Magnetohydrodynamics, Physical Review E, Vol.69, No.6, 2004, pp. 065702/1-065702/4.
    • (2004) Physical Review e , vol.69 , Issue.6 , pp. 0657021-0657024
    • Breyiannis, G.1    Valougeorgis, D.2
  • 4
    • 70450215956 scopus 로고    scopus 로고
    • Simulating acoustic propagation using a lattice boltzmann model of incompressible fluid flow
    • F. Nathan and H. Richard, Simulating Acoustic Propagation using a Lattice Boltzmann Model of Incompressible Fluid Flow, WSEAS Transactions on Signal Processing, Vol.2, No.6, 2006, pp. 876-881.
    • (2006) WSEAS Transactions on Signal Processing , vol.2 , Issue.6 , pp. 876-881
    • Nathan, F.1    Richard, H.2
  • 5
    • 31944444931 scopus 로고    scopus 로고
    • Numerical analysis of the average flow field in a turbulent lattice boltzmann simulation
    • L. Jonas, B. Chopard, S. Succi and F. Toschi, Numerical Analysis of the Average Flow Field in a Turbulent Lattice Boltzmann Simulation, Physica A, Vol.362, No.1, 2006, pp. 6-10.
    • (2006) Physica A , vol.362 , Issue.1 , pp. 6-10
    • Jonas, L.1    Chopard, B.2    Succi, S.3    Toschi, F.4
  • 7
    • 33746056405 scopus 로고    scopus 로고
    • Simplified thermal lattice boltzmann in incompressible limit
    • C.S Nor Azwadi and T. Tanahashi, Simplified Thermal Lattice Boltzmann in Incompressible Limit, International Journal of Modern Physics B, Vol.20, No.17, 2006, pp. 2437-2449.
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.17 , pp. 2437-2449
    • Nor Azwadi, C.S.1    Tanahashi, T.2
  • 8
    • 0013620414 scopus 로고    scopus 로고
    • Steady state hydrodynamics of lattice boltzmann immiscible lattice gas
    • I. Halliday and C.M. Care, Steady State Hydrodynamics of Lattice Boltzmann Immiscible Lattice Gas, Physical Review E, Vol.53, No.2, 1996, pp. 1602-1612.
    • (1996) Physical Review e , vol.53 , Issue.2 , pp. 1602-1612
    • Halliday, I.1    Care, C.M.2
  • 10
    • 24844466239 scopus 로고
    • Lattice boltzmann model for simulating flows with multiple phases and components
    • X. Shan and H. Chen, Lattice Boltzmann Model for Simulating Flows with Multiple Phases and Components, Physical Review E, Vol.47, No.3, 1993, pp. 1815-1820.
    • (1993) Physical Review e , vol.47 , Issue.3 , pp. 1815-1820
    • Shan, X.1    Chen, H.2
  • 11
    • 35949016104 scopus 로고
    • Lattice gas automata for the navier-stokes equation
    • U. Frish, B. Hasslacher and Y. Pomeau, Lattice Gas Automata for the Navier-Stokes Equation, Physical Review Letters, Vol.56, No.14, 1986, pp. 1505-1508.
    • (1986) Physical Review Letters , vol.56 , Issue.14 , pp. 1505-1508
    • Frish, U.1    Hasslacher, B.2    Pomeau, Y.3
  • 12
    • 0000637814 scopus 로고
    • Analysis of lattice boltzmann treatment of hydrodynamics
    • G. McNamara and B. Alder, Analysis of Lattice Boltzmann Treatment of Hydrodynamics, Physica A, Vol.194, No.1, 1993, pp. 218-228.
    • (1993) Physica A , vol.194 , Issue.1 , pp. 218-228
    • McNamara, G.1    Alder, B.2
  • 13
    • 5344222636 scopus 로고    scopus 로고
    • Simulation of rayleigh-benard convection using a lattice boltzmann method
    • X. Shan, Simulation of Rayleigh-Benard Convection using a Lattice Boltzmann Method, Physical Review E, Vol.55, No.3, 1997, pp. 2780-2788.
    • (1997) Physical Review e , vol.55 , Issue.3 , pp. 2780-2788
    • Shan, X.1
  • 14
    • 0000148702 scopus 로고    scopus 로고
    • A novel thermal model for lattice boltzmann method in incompressible limit
    • X. He, S. Shan and G. Doolen, A Novel Thermal Model for Lattice Boltzmann Method in Incompressible Limit, Journal of Computational Physics, Vol.146, No.1, 1998, pp. 282-300.
    • (1998) Journal of Computational Physics , vol.146 , Issue.1 , pp. 282-300
    • He, X.1    Shan, S.2    Doolen, G.3
  • 15
    • 0034228979 scopus 로고    scopus 로고
    • H-theorem and origins of instability in thermal lattice boltzmann models
    • H. Chen and C. Teixeira, H-Theorem and Origins of Instability in Thermal Lattice Boltzmann Models, Computer Physics Communications, Vol.129, No.1, 2000, pp. 21-31.
    • (2000) Computer Physics Communications , vol.129 , Issue.1 , pp. 21-31
    • Chen, H.1    Teixeira, C.2
  • 16
    • 0242628979 scopus 로고    scopus 로고
    • Theory of the lattice boltzmann method: Acoustic and thermal properties in two and three dimensions
    • P. Lallemand and L.S. Luo, Theory of the Lattice Boltzmann Method: Acoustic and Thermal Properties in Two and Three Dimensions, Physical Review E, Vol.68, No.3, 2003, pp. 036706/1-036706/25.
    • (2003) Physical Review e , vol.68 , Issue.3 , pp. 0367061-03670625
    • Lallemand, P.1    Luo, L.S.2
  • 17
    • 0035242984 scopus 로고    scopus 로고
    • Lattice boltzmann simulation of natural convection in a square cavity
    • J. Onishi, Y. Chen and H. Ohashi, Lattice Boltzmann Simulation of Natural Convection in a Square Cavity, JSME International Journal Series B, Vol.44, No.1, 2001, pp. 45-52.
    • (2001) JSME International Journal Series B , vol.44 , Issue.1 , pp. 45-52
    • Onishi, J.1    Chen, Y.2    Ohashi, H.3
  • 18
    • 42749102880 scopus 로고    scopus 로고
    • Simplified thermal lattice boltzmann for incompressible thermal flow
    • Y. Peng, C. Shu and Y. T. Chew, Simplified Thermal Lattice Boltzmann for Incompressible Thermal Flow, Physical Review E, Vol.68, No.2, 2003, pp. 020671/1-020671/8.
    • (2003) Physical Review e , vol.68 , Issue.2 , pp. 0206711-0206718
    • Peng, Y.1    Shu, C.2    Chew, Y.T.3
  • 19
    • 70450209872 scopus 로고    scopus 로고
    • Study and analysis of the influence of a small heating source positioned on the natural convective heat transfer in a square cavity
    • M. Paroncini, F. Corvaro and M.M. Padova, Study and Analysis of the Influence of a Small Heating Source Positioned on the Natural Convective Heat Transfer in a Square Cavity, WSEAS Transaction on Heat and Mass Transfer, Vol.1, No.4, 2006, pp. 461-466.
    • (2006) WSEAS Transaction on Heat and Mass Transfer , vol.1 , Issue.4 , pp. 461-466
    • Paroncini, M.1    Corvaro, F.2    Padova, M.M.3
  • 20
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity; A benchmark numerical solution
    • D.V. Davis, Natural Convection of Air in a Square Cavity; A Benchmark Numerical Solution, International Journal for Numerical Methods in Fluids, Vol.3, No.3, 1983, pp. 249-264.
    • (1983) International Journal for Numerical Methods in Fluids , vol.3 , Issue.3 , pp. 249-264
    • Davis, D.V.1
  • 21
    • 0344981327 scopus 로고    scopus 로고
    • A 3D incompressible thermal lattice boltzmann model and its application to simulation natural convection in a cubic cavity
    • Y. Peng, C. Shu and Y.T. Chew, A 3D Incompressible Thermal Lattice Boltzmann Model and its Application to Simulation Natural Convection in a Cubic Cavity, Journal of Computational Physics, Vol.193, No.1, 2003, pp. 260-274.
    • (2003) Journal of Computational Physics , vol.193 , Issue.1 , pp. 260-274
    • Peng, Y.1    Shu, C.2    Chew, Y.T.3
  • 22
    • 84956111432 scopus 로고
    • Lattice BGK for navier-stokes equation
    • Y.H. Qian, D. Humieres and P. Lallemand, Lattice BGK for Navier-Stokes Equation, Europhysics Letter, Vol.17, No.6, 1992, pp. 479-484.
    • (1992) Europhysics Letter , vol.17 , Issue.6 , pp. 479-484
    • Qian, Y.H.1    Humieres, D.2    Lallemand, P.3
  • 23
    • 33846615533 scopus 로고    scopus 로고
    • Three dimensional thermal lattice boltzmann simulation of natural convection in a cubic cavity
    • C.S. Nor Azwadi and T. Tanahashi, Three Dimensional Thermal Lattice Boltzmann Simulation of Natural Convection in a Cubic Cavity, International Journal of Modern Physics B, Vol.21, No.1, 2007, pp. 87-96.
    • (2007) International Journal of Modern Physics B , vol.21 , Issue.1 , pp. 87-96
    • Nor Azwadi, C.S.1    Tanahashi, T.2
  • 27
    • 26344468007 scopus 로고
    • A model for collision process in gasses. 1. Small amplitude processes in charged and neutral one-component system
    • P.L. Bhatnagar, E.P. Gross and M. Krook, A Model for Collision Process in Gasses. 1. Small Amplitude Processes in Charged and Neutral One-Component System, Physical Review, Vol.70, No.3, 1954, pp. 511-525.
    • (1954) Physical Review , vol.70 , Issue.3 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 28
    • 0031206171 scopus 로고    scopus 로고
    • Lattice boltzmann model for the incompressible navier-stokes equation
    • X. He and L.S. Luo, Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation, Journal of Statistical Physics, Vol.88, No.3, 1997, pp. 927-944.
    • (1997) Journal of Statistical Physics , vol.88 , Issue.3 , pp. 927-944
    • He, X.1    Luo, L.S.2
  • 29
    • 52149124122 scopus 로고    scopus 로고
    • Simplified finite difference thermal lattice boltzmann method
    • C.S. Nor Azwadi and T. Tanahashi, Simplified Finite Difference Thermal Lattice Boltzmann Method, International Journal of Modern Physics B, Vol.22, No.22, 2008, pp. 3865-3876.
    • (2008) International Journal of Modern Physics B , vol.22 , Issue.22 , pp. 3865-3876
    • Nor Azwadi, C.S.1    Tanahashi, T.2
  • 30
    • 31744438156 scopus 로고    scopus 로고
    • Simulation of high rayleigh number natural convection in a square cavity using the lattice boltzmann method
    • H.N. Dixit and V. Babu, Simulation of High Rayleigh Number Natural Convection in a Square Cavity using the Lattice Boltzmann Method, International Journal of Heat and Mass Transfer, Vol.49, No.4, 2006, pp. 727-739.
    • (2006) International Journal of Heat and Mass Transfer , vol.49 , Issue.4 , pp. 727-739
    • Dixit, H.N.1    Babu, V.2
  • 31
    • 70450215955 scopus 로고    scopus 로고
    • A modified theory of laminar flow by free convection on a vertical hot surface
    • S.H. Sohrab, A Modified Theory of Laminar Flow by Free Convection on a Vertical Hot Surface, WSEAS Transactions on Biology and Biomedicine, Vol.2, No.2, 2005, pp. 192-198.
    • (2005) WSEAS Transactions on Biology and Biomedicine , vol.2 , Issue.2 , pp. 192-198
    • Sohrab, S.H.1
  • 32
    • 0034333611 scopus 로고    scopus 로고
    • A first incursion into the 3D structure of natural convection of air in a differentially heated cubic cavity, from accurate numerical solutions
    • E. Tric, G. Labrosse and M. Betrouni, A First Incursion into the 3D Structure of Natural Convection of Air in a Differentially Heated Cubic Cavity, from Accurate Numerical Solutions, International Journal of Heat and Mass Transfer, Vol.43, No.21, 2000, pp. 4043-4056.
    • (2000) International Journal of Heat and Mass Transfer , vol.43 , Issue.21 , pp. 4043-4056
    • Tric, E.1    Labrosse, G.2    Betrouni, M.3
  • 33
    • 0000331979 scopus 로고    scopus 로고
    • Lattice boltzmann method for 3-D flows with curved boundary
    • R. Mei, W. Shyy, D. Yu and L. S. Luo, Lattice Boltzmann Method for 3-D Flows with Curved Boundary, Journal of Computational Physics, Vol.161, No.2, 2000, pp. 680-699.
    • (2000) Journal of Computational Physics , vol.161 , Issue.2 , pp. 680-699
    • Mei, R.1    Shyy, W.2    Yu, D.3    Luo, L.S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.