메뉴 건너뛰기




Volumn 228, Issue 17, 2009, Pages 6107-6118

Implementation of diffuse reflection boundary conditions in a thermal lattice Boltzmann model with flux limiters

Author keywords

Boundary conditions; Couette flow; Flux limiter; Lattice Boltzmann

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DISTRIBUTION FUNCTIONS; ELECTROOSMOSIS; PRANDTL NUMBER;

EID: 67650098160     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.05.009     Document Type: Article
Times cited : (27)

References (62)
  • 7
    • 13844320326 scopus 로고
    • The lattice Boltzmann equation: theory and applications
    • Benzi R., Succi S., and Vergassola M. The lattice Boltzmann equation: theory and applications. Physics Reports 222 (1992) 145
    • (1992) Physics Reports , vol.222 , pp. 145
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 15
    • 0036639879 scopus 로고    scopus 로고
    • Application of lattice Boltzmann method to simulate microchannel flows
    • Lim C.Y., Shu C., Niu X.D., and Chew Y.T. Application of lattice Boltzmann method to simulate microchannel flows. Physics of Fluids 14 (2002) 2299
    • (2002) Physics of Fluids , vol.14 , pp. 2299
    • Lim, C.Y.1    Shu, C.2    Niu, X.D.3    Chew, Y.T.4
  • 16
    • 0037026130 scopus 로고    scopus 로고
    • Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis
    • Succi S. Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis. Physical Review Letters 89 (2002) 064502
    • (2002) Physical Review Letters , vol.89 , pp. 064502
    • Succi, S.1
  • 17
    • 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. Physical Review E 66 (2002) 026311
    • (2002) Physical Review E , vol.66 , pp. 026311
    • Ansumali, S.1    Karlin, I.V.2
  • 18
    • 85038304080 scopus 로고    scopus 로고
    • Discrete Boltzmann equation for microfluidics
    • Li B., and Kwok D. Discrete Boltzmann equation for microfluidics. Physical Review Letters 90 (2003) 124502
    • (2003) Physical Review Letters , vol.90 , pp. 124502
    • Li, B.1    Kwok, D.2
  • 19
    • 4143114620 scopus 로고    scopus 로고
    • A lattice Boltzmann BGK model for simulation of micro flows
    • Niu X.D., Shu C., and Chew Y.T. A lattice Boltzmann BGK model for simulation of micro flows. Europhysics Letters 67 (2004) 600
    • (2004) Europhysics Letters , vol.67 , pp. 600
    • Niu, X.D.1    Shu, C.2    Chew, Y.T.3
  • 20
    • 37649027266 scopus 로고    scopus 로고
    • Rarefaction and compressibility effects of the lattice-Boltzmann-equation method in a gas microchannel
    • Lee T., and Lin C. Rarefaction and compressibility effects of the lattice-Boltzmann-equation method in a gas microchannel. Physical Review E 71 (2005) 046706
    • (2005) Physical Review E , vol.71 , pp. 046706
    • Lee, T.1    Lin, C.2
  • 21
    • 41349091193 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of rarefied gas flows in microchannels
    • Zhang Y., Qin R., and Emerson D.R. Lattice Boltzmann simulation of rarefied gas flows in microchannels. Physical Review E 71 (2005) 047702
    • (2005) Physical Review E , vol.71 , pp. 047702
    • Zhang, Y.1    Qin, R.2    Emerson, D.R.3
  • 22
    • 18844375364 scopus 로고    scopus 로고
    • Boundary conditions for the upwind finite difference lattice Boltzmann model: evidence of slip velocity in micro-channel flow
    • Sofonea V., and Sekerka R.F. Boundary conditions for the upwind finite difference lattice Boltzmann model: evidence of slip velocity in micro-channel flow. Journal of Computational Physics 207 (2005) 639
    • (2005) Journal of Computational Physics , vol.207 , pp. 639
    • Sofonea, V.1    Sekerka, R.F.2
  • 23
    • 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. Physics of Fluids 17 (2005) 093602
    • (2005) Physics of Fluids , vol.17 , pp. 093602
    • Sbragaglia, M.1    Succi, S.2
  • 24
  • 25
    • 14544301370 scopus 로고    scopus 로고
    • Lattice Boltzmann method at finite Knudsen numbers
    • Toschi F., and Succi S. Lattice Boltzmann method at finite Knudsen numbers. Europhysics Letters 69 (2005) 549
    • (2005) Europhysics Letters , vol.69 , pp. 549
    • Toschi, F.1    Succi, S.2
  • 26
    • 27944480940 scopus 로고    scopus 로고
    • Diffuse-reflection boundary conditions for a thermal lattice Boltzmann model in two dimensions: evidence of temperature jump and slip velocity in microchannels
    • Sofonea V., and Sekerka R.F. Diffuse-reflection boundary conditions for a thermal lattice Boltzmann model in two dimensions: evidence of temperature jump and slip velocity in microchannels. Physical Review E 71 (2005) 066709
    • (2005) Physical Review E , vol.71 , pp. 066709
    • Sofonea, V.1    Sekerka, R.F.2
  • 27
    • 33645943380 scopus 로고    scopus 로고
    • Physical symmetry, spatial accuracy and relaxation time of the lattice Boltzmann equation for microgas flows
    • Guo Z., Zhao T.S., and Shi Y. Physical symmetry, spatial accuracy and relaxation time of the lattice Boltzmann equation for microgas flows. Journal of Applied Physics 99 (2006) 074903
    • (2006) Journal of Applied Physics , vol.99 , pp. 074903
    • Guo, Z.1    Zhao, T.S.2    Shi, Y.3
  • 28
    • 33646885507 scopus 로고    scopus 로고
    • Mesoscopic two-phase model for describing apparent slip in micro-channel flows
    • Benzi R., Biferale L., Sbragaglia M., Succi S., and Toschi F. Mesoscopic two-phase model for describing apparent slip in micro-channel flows. Europhysics Letters 74 (2006) 651
    • (2006) Europhysics Letters , vol.74 , pp. 651
    • Benzi, R.1    Biferale, L.2    Sbragaglia, M.3    Succi, S.4    Toschi, F.5
  • 29
    • 33751177566 scopus 로고    scopus 로고
    • Lattice Boltzmann approach to thermal transpiration
    • Sofonea V. Lattice Boltzmann approach to thermal transpiration. Physical Review E 74 (2006) 056705
    • (2006) Physical Review E , vol.74 , pp. 056705
    • Sofonea, V.1
  • 30
    • 33845300554 scopus 로고    scopus 로고
    • Finite-difference lattice Boltzmann approach to pressure-driven microchannel flow with variable temperature
    • Sofonea V. Finite-difference lattice Boltzmann approach to pressure-driven microchannel flow with variable temperature. Europhysics Letters 76 (2006) 829
    • (2006) Europhysics Letters , vol.76 , pp. 829
    • Sofonea, V.1
  • 32
    • 34548379100 scopus 로고    scopus 로고
    • Renormalization of the lattice Boltzmann hierarchy
    • R
    • Karlin I.V., and Ansumali S. Renormalization of the lattice Boltzmann hierarchy. Physical Review E 76 (2007) 025701 R
    • (2007) Physical Review E , vol.76 , pp. 025701
    • Karlin, I.V.1    Ansumali, S.2
  • 33
    • 38849197483 scopus 로고    scopus 로고
    • Lattice Boltzmann method for simulating the temperature jump and velocity slip in microchannels
    • Zheng L., Shi B.C., and Cai Z.H. Lattice Boltzmann method for simulating the temperature jump and velocity slip in microchannels. Communications in Computational Physics 2 (2007) 1125
    • (2007) Communications in Computational Physics , vol.2 , pp. 1125
    • Zheng, L.1    Shi, B.C.2    Cai, Z.H.3
  • 34
    • 40549141461 scopus 로고    scopus 로고
    • Slip velocity and Knudsen layer in the lattice Boltzmann method for microscale flows
    • Kim S.H., Pitsch H., and Boyd I.D. Slip velocity and Knudsen layer in the lattice Boltzmann method for microscale flows. Physical Review E 77 (2008) 026704
    • (2008) Physical Review E , vol.77 , pp. 026704
    • Kim, S.H.1    Pitsch, H.2    Boyd, I.D.3
  • 35
    • 79051469113 scopus 로고    scopus 로고
    • Discrete effects on thermal boundary conditions for the thermal latttice Boltzmann method in simulating microscale gas flows
    • Zheng L., Guo Z.L., and Shi B.C. Discrete effects on thermal boundary conditions for the thermal latttice Boltzmann method in simulating microscale gas flows. Europhysics Letters 82 (2008) 44002
    • (2008) Europhysics Letters , vol.82 , pp. 44002
    • Zheng, L.1    Guo, Z.L.2    Shi, B.C.3
  • 38
    • 45849156084 scopus 로고    scopus 로고
    • Two-dimensional thermal model of the finite-difference lattice Boltzmann method with high spatial isotropy
    • Watari M., and Tsutahara M. Two-dimensional thermal model of the finite-difference lattice Boltzmann method with high spatial isotropy. Physical Review E 67 (2003) 036306
    • (2003) Physical Review E , vol.67 , pp. 036306
    • Watari, M.1    Tsutahara, M.2
  • 41
  • 42
    • 33847624432 scopus 로고    scopus 로고
    • Finite-difference lattice Boltzmann model with flux limiters for liquid-vapor system
    • Sofonea V., Lamura A., Gonnella G., and Cristea A. Finite-difference lattice Boltzmann model with flux limiters for liquid-vapor system. Physical Review E 70 (2004) 046702
    • (2004) Physical Review E , vol.70 , pp. 046702
    • Sofonea, V.1    Lamura, A.2    Gonnella, G.3    Cristea, A.4
  • 43
    • 34548859310 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of thermal nonideal fluids
    • Gonnella G., Lamura A., and Sofonea V. Lattice Boltzmann simulation of thermal nonideal fluids. Physical Review E 76 (2007) 036703
    • (2007) Physical Review E , vol.76 , pp. 036703
    • Gonnella, G.1    Lamura, A.2    Sofonea, V.3
  • 44
    • 0000148702 scopus 로고    scopus 로고
    • A novel thermal model for the lattice Boltzmann method in incompressible limit
    • He X., Chen S., and Doolen G.D. A novel thermal model for the lattice Boltzmann method in incompressible limit. Journal of Computational Physics 146 (1998) 282
    • (1998) Journal of Computational Physics , vol.146 , pp. 282
    • He, X.1    Chen, S.2    Doolen, G.D.3
  • 45
    • 42749102880 scopus 로고    scopus 로고
    • Simplified thermal lattice Boltzmann model for incompressible thermal flows
    • Peng Y., Shu C., and Chew Y.T. Simplified thermal lattice Boltzmann model for incompressible thermal flows. Physical Review E 68 (2003) 026701
    • (2003) Physical Review E , vol.68 , pp. 026701
    • Peng, Y.1    Shu, C.2    Chew, Y.T.3
  • 46
    • 0344981327 scopus 로고    scopus 로고
    • A 3D incompressible thermal lattice Boltzmann model and its application to simulate natural convection in a cubic cavity
    • Peng Y., Shu C., and Chew Y.T. A 3D incompressible thermal lattice Boltzmann model and its application to simulate natural convection in a cubic cavity. Journal of Computational Physics 193 (2004) 260
    • (2004) Journal of Computational Physics , vol.193 , pp. 260
    • Peng, Y.1    Shu, C.2    Chew, Y.T.3
  • 47
    • 37649027575 scopus 로고    scopus 로고
    • Thermal lattice Bhatnagar-Gross-Krook model for flows with viscous heat dissipation in the incompressible limit
    • Shi Y., Zhao T.S., and Guo Z.L. Thermal lattice Bhatnagar-Gross-Krook model for flows with viscous heat dissipation in the incompressible limit. Physical Review E 70 (2004) 066310
    • (2004) Physical Review E , vol.70 , pp. 066310
    • Shi, Y.1    Zhao, T.S.2    Guo, Z.L.3
  • 48
    • 47049098957 scopus 로고    scopus 로고
    • Fundamental conditions for N-th-order accurate lattice Boltzmann models
    • Chen H., and Shan X. Fundamental conditions for N-th-order accurate lattice Boltzmann models. Physica D (2008) 2003
    • (2008) Physica D , pp. 2003
    • Chen, H.1    Shan, X.2
  • 49
    • 0002428144 scopus 로고    scopus 로고
    • Physical symmetry and lattice symmetry in the lattice Boltzmann method
    • Cao N., Chen S., Jin S., and Martinez D. Physical symmetry and lattice symmetry in the lattice Boltzmann method. Physical Review E 55 (1997) R21
    • (1997) Physical Review E , vol.55
    • Cao, N.1    Chen, S.2    Jin, S.3    Martinez, D.4
  • 50
    • 0029478307 scopus 로고
    • Prandtl number of lattice Bhatnagar-Gross-Krook fluid
    • Chen Y., Ohashi H., and Akiyama M. Prandtl number of lattice Bhatnagar-Gross-Krook fluid. Physics of Fluids 7 (1995) 2280
    • (1995) Physics of Fluids , vol.7 , pp. 2280
    • Chen, Y.1    Ohashi, H.2    Akiyama, M.3
  • 51
    • 0000472855 scopus 로고    scopus 로고
    • Thermal lattice Boltzmann simulations of variable Prandtl number turbulent flows
    • Soe M., Vahala G., Pavlo P., Vahala L., and Chen H.D. Thermal lattice Boltzmann simulations of variable Prandtl number turbulent flows. Physical Review E 57 (1998) 4227
    • (1998) Physical Review E , vol.57 , pp. 4227
    • Soe, M.1    Vahala, G.2    Pavlo, P.3    Vahala, L.4    Chen, H.D.5
  • 52
    • 34547365585 scopus 로고    scopus 로고
    • Lattice Boltzmann method for thermal flow simulation on standard lattices
    • Prasianakis N.I., and Karlin I.V. Lattice Boltzmann method for thermal flow simulation on standard lattices. Physical Review E 76 (2007) 016702
    • (2007) Physical Review E , vol.76 , pp. 016702
    • Prasianakis, N.I.1    Karlin, I.V.2
  • 54
    • 34547180847 scopus 로고    scopus 로고
    • A general multiple-relaxation time Boltzmann collision model
    • Shan X.W., and Chen H. A general multiple-relaxation time Boltzmann collision model. International Journal of Modern Physica C 18 (2007) 635
    • (2007) International Journal of Modern Physica C , vol.18 , pp. 635
    • Shan, X.W.1    Chen, H.2
  • 55
    • 34547229236 scopus 로고    scopus 로고
    • Lattice Boltzmann method for simulation of weakly compressible flows at arbitrary Prandtl number
    • Prasianakis N.I., and Boulouchos K.B. Lattice Boltzmann method for simulation of weakly compressible flows at arbitrary Prandtl number. International Journal of Modern Physica C 18 (2007) 602
    • (2007) International Journal of Modern Physica C , vol.18 , pp. 602
    • Prasianakis, N.I.1    Boulouchos, K.B.2
  • 56
    • 36949032542 scopus 로고    scopus 로고
    • Coupled double-distribution-function lattice Boltzmann method for the compressible Navier-Stokes equations
    • Li Q., He Y.L., Wang Y., and Tao W.Q. Coupled double-distribution-function lattice Boltzmann method for the compressible Navier-Stokes equations. Physical Review E 76 (2007) 056705
    • (2007) Physical Review E , vol.76 , pp. 056705
    • Li, Q.1    He, Y.L.2    Wang, Y.3    Tao, W.Q.4
  • 57
    • 49549098396 scopus 로고    scopus 로고
    • Multiple-relaxation-time model for the correct thermohydrodynamic equations
    • Zheng L., Shi B.C., and Guo Z.L. Multiple-relaxation-time model for the correct thermohydrodynamic equations. Physical Review E 78 (2008) 026705
    • (2008) Physical Review E , vol.78 , pp. 026705
    • Zheng, L.1    Shi, B.C.2    Guo, Z.L.3
  • 58
    • 84977259887 scopus 로고
    • Die Gesetze der Molecular Stromung und die inneren Reibungstromung der Gase durch Rohren
    • Knudsen M. Die Gesetze der Molecular Stromung und die inneren Reibungstromung der Gase durch Rohren. Annalen der Physik 29 (1909) 75
    • (1909) Annalen der Physik , vol.29 , pp. 75
    • Knudsen, M.1
  • 59
    • 31944452059 scopus 로고    scopus 로고
    • Simulation of micro- and nano-scale flows via the lattice Boltzmann method
    • Zhou Y., Zhang R., Staroselsky I., Chen H., Kim W.T., and Jhon M.S. Simulation of micro- and nano-scale flows via the lattice Boltzmann method. Physica A 362 (2006) 68
    • (2006) Physica A , vol.362 , pp. 68
    • Zhou, Y.1    Zhang, R.2    Staroselsky, I.3    Chen, H.4    Kim, W.T.5    Jhon, M.S.6
  • 60
    • 33750090408 scopus 로고    scopus 로고
    • Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
    • Zhang R., Shan X., and Chen H. Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation. Physical Review E 74 (2006) 046703
    • (2006) Physical Review E , vol.74 , pp. 046703
    • Zhang, R.1    Shan, X.2    Chen, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.